Abstract:
An apparatus generally having a first memory, a second memory and a circuit is disclosed. The first memory may be configured to store a warp table. The warp table is generally accessed through a single data port of the first memory. The second memory may be configured to buffer an input image. The input image may have a plurality of input pixels arranged in two dimensions. The circuit may be configured to generate an output image by a warp correction of an input image. The warp correction may be defined by the warp table. The output image may include a plurality of output pixels. At least one of the output pixels maybe generated during each clock cycle of the circuit.

Description:
FIELD OF THE INVENTION 
     The present invention relates to a method and/or architecture for image processing generally and, more particularly, to a high performance warp correction in two-dimensional images. 
     BACKGROUND OF THE INVENTION 
     Camera image processing uses a warp correction system to correct for warping in an input image. Warp correction is a mapping of a pixel in an output image to a pixel in the input image. The mapping is defined by a two-dimensional (2D) warp field that depends on the optical characteristics of the lens and a zoom factor. Conventionally, the warp field is computed for a camera design and stored in 2D tables of an actual camera. Since the table entry spacing covers more than a single pixel, 2D bilinear interpolation is used to calculate the warp field at the missing pixels. The warp field spans hundreds of lines across the input image and so a large buffer space is used to hold sufficient input image data. Management of the buffer is based on a minimum warp field calculated across a next pixel line. Conventional approaches hold the warp field in either a 5-ported memory or 5 memory banks to achieve a single pixel per clock performance. 
     It would be desirable to achieve the single pixel per clock performance with a single-ported memory. 
     SUMMARY OF THE INVENTION 
     The present invention concerns an apparatus generally having a first memory, a second memory and a circuit. The first memory may be configured to store a warp table. The warp table is generally accessed through a single data port of the first memory. The second memory may be configured to buffer an input image. The input image may have a plurality of input pixels arranged in two dimensions. The circuit may be configured to generate an output image by a warp correction of an input image. The warp correction may be defined by the warp table. The output image may include a plurality of output pixels. At least one of the output pixels maybe generated during each clock cycle of the circuit. 
     The objects, features and advantages of the present invention include providing a high performance warp correction in 2-dimensional images that may (i) achieve a single output pixel per clock performance, (ii) store a warp field in a single-port memory, (iii) read fewer warp table entries than conventional techniques for interpolation calculations, (iv) compute interpolation parameters in advance of warping an input image, (v) utilize pipelining and chaining of the interpolation parameters, (vi) compute warp fields at every pixel using the adders instead of multipliers and/or (vii) achieve a small hardware cost while maintaining high performance compared with conventional designs. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       These and other objects, features and advantages of the present invention will be apparent from the following detailed description and the appended claims and drawings in which: 
         FIG. 1  is a block diagram of an example method for warp correction in two-dimensional images; 
         FIG. 2  is a diagram of an example two-dimensional image; 
         FIG. 3  is a diagram of a rectangular grid superimposed on an output image; 
         FIG. 4  is a block diagram of an apparatus in accordance with a preferred embodiment of the present invention; 
         FIG. 5  is a flow diagram of an example method for calculating a minimum warp field; 
         FIG. 6  is a flow diagram of an example method for calculating interpolation parameters; 
         FIG. 7  is a diagram of the interpolation parameters and a chaining operation when crossing a grid boundary; 
         FIG. 8  is a flow diagram of an example method for calculating a motion vector and fetching an input tile; and 
         FIG. 9  is a flow diagram of an example method for calculating the output pixels. 
     
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     Some embodiments of the present invention may concern an apparatus having a single-ported memory, multiple (e.g., 4) stages of a process pipeline, an arbitration logic, an input tile buffer and an output tile buffer. The single-ported memory generally holds a two-dimensional (2D) warp field. The input tile buffer may be configured to hold multiple input tiles. An on-chip memory or an off-chip memory may store a partial image. An initial stage of a circuit may be configured to compute a minimum warp field across a pixel line. The next stage of the circuit may be configured to compute a warp field at specific points. Another stage of the circuit is generally configured to fetch the input tiles from the image buffer. A subsequent stage of the circuit may be configured to calculate a warp field at every output pixel point and compute output pixels from the fetched input tile. All stages of the circuit generally work in a pipelined fashion to achieve a high performance circuit. Access to the warp table may be arbitrated between the two front-end stages by the arbitration logic. A later of the front-end stages generally reads several (e.g., 4) warp table entries where an initial output tile is being generated. The later stage may read a few (e.g., 2) warp table entries where other output tiles are being generated. Since grid spacing in the warp field usually covers many pixels, the initial stage may utilize several clock cycles to access the appropriate warp table entries. 
     Referring to  FIG. 1 , a block diagram of an example method  100  for warp correction in 2D images is shown. The method (or process)  100  generally comprises a step (or block)  102 , a step (or block)  104 , a step (or block)  106 , a step (or block)  108 . The steps  102  to  108  may be implemented in hardware, software, firmware or any combination thereof in an apparatus. 
     In the step  102 , one or more portions of an input image within a signal (e.g., IN) may be buffered in an image buffer. From the image buffer, a warp correction along a horizontal direction may be performed on an input image portion in the step  104 . Operations of the step  104  may generate an intermediate image portion. The step  104  may be implemented in a unit (or circuit) of the apparatus referred to as a horizontal warp correction unit. In the step  106 , the intermediate image portion may be buffered in another image buffer. In some embodiments, both image buffers may reside within a common memory device in different addressable regions. In other embodiments, each image buffer may reside in a separate memory. The step  108  generally performs another warp correction in a vertical direction on the intermediate image portion to generate a corresponding portion of an output image in a signal (e.g., OUT). The step  108  may be implemented by a unit (or circuit) of the apparatus referred to as a vertical warp correction unit. In some embodiments, the horizontal warp correction unit and the vertical warp correction unit may be the same unit within the apparatus. The horizontal warp correction unit generally works on horizontal components of a warp field and thus achieves warp correction in the horizontal direction. The vertical warp correction unit may work on vertical components of the warp field and thus achieve warp correction in the vertical direction. 
     Referring to  FIG. 2 , a diagram of an example 2D image  120  is shown. The image (or region)  120  may have a height (e.g., H) and a width (e.g., W). The image  120  may represent an input image or an output image. The height H may be a distance between (i) an upper-left corner (e.g., (X,Y)=(0,0)) and a lower-left corner (e.g., (X,Y)=(0,H) of the image  120  and/or (ii) an upper-right corner (e.g., (X,Y)=(W,0)) and a lower-right corner (e.g., (X,Y)=(W,H) of the image  120 . The width W may be a distance between the upper-left corner and the upper-right corner of the image  120  and/or the lower-left corner and the lower-right corner of the image  120 . 
     The image  120  is generally divisible into multiple tiles (or subregion)  122   a - 122   n . Each tile  122   a - 122   n  may be a rectangle. Tiles  122   a - 122   n  in an input image may be referred to as input tiles. The tiles  122   a - 122   n  in the intermediate image may be referred to as intermediate tiles. Tiles  122   a - 122   n  in an output image may be referred to as output tiles. 
     The tiles  122   a - 122   n  may be arranged in one or more tile rows  124   a - 124   k  (only rows  124   c  and  124   f  are shown for clarity). Each input tile  122   a - 122   n  may comprise a 2D array of input pixels. Each intermediate tile  122   a - 122   n  may comprise a 2D array of intermediate pixels. Each output tile  122   a - 122   n  may comprise a 2D array of output pixels. By way of example, a particular tile (e.g.,  122   g ) may be defined by four corners (e.g., A1, B1, C1 and D1). 
     The warp correction units generally fetch fixed-size tiles from the corresponding image buffers (e.g., image buffer  102 , image buffer  106 ). The warp correction units may generate fixed-size intermediate tiles and fixed-size output tiles. For example, the vertical warp correction unit may (i) fetch intermediate tiles having a size of 64 rows by 8 columns and (ii) generate output tiles having a size of 16 rows by 8 columns. Furthermore, the horizontal warp correction unit generally (i) fetches input tiles having a size of 1 row by 6 columns and (ii) generate intermediate tiles having a size of 1 row by 1 column (e.g., a single intermediate pixel). 
     Referring to  FIG. 3 , a diagram of a rectangular grid  126  superimposed on an output image (e.g., 120) is shown. The row  124   f  of output tiles is also shown. The output tiles may be generated in a raster scan order. 
     A grid field is generally specified at the crossing points of the grid  126  and stored in a single-port memory. The single-port memory may have only a single x-bit wide data port. An address to the single-port memory is generally a number formed by a concatenating a grid row value (e.g., GRIDROW) and a grid column value (e.g., GRIDCOL) such that the address accesses data at {GRIDROW, GRIDCOL}. 
     The value GRIDROW value may be stored in an n-bit register. A value of 2^n is generally designed to be greater than or equal to a maximum number of grid rows in the grid  126 . The value GRIDCOL may be stored in an m-bit register. A value 2^m is generally designed to be greater than or equal to a maximum number of grid columns in the grid  126 . A grid spacing value (e.g., GHS) of the grid  126  may refer to a grid spacing in the horizontal direction. A grid spacing value (e.g., GVS) of the grid  126  generally refers to a grid spacing in the vertical direction. The value GHS may be an integer fraction of the width of the output tiles. The value GVS may be another integer fraction of the height of the output tiles. 
     Referring to  FIG. 4 , a block diagram of an apparatus  130  is shown in accordance with a preferred embodiment of the present invention. The apparatus (or device)  130  generally comprises a circuit (or module)  132 , a circuit (or module)  134  and a circuit (or module)  136 . The signal IN may be received by the circuit  136 . The signal OUT may be generated and presented by the circuit  136 . A clock signal (e.g., CLK) may be received by the circuit  132 . The circuits  132 - 136  may be implemented in hardware, software, firmware or any combination thereof in an apparatus. In some embodiments, the apparatus  130  may be a digital video camera, a digital still camera or a hybrid digital video/still camera. 
     The circuit  132  may implement a pipelined processor circuit. The circuit  132  is generally operational to generate an output image by a warp correction of an input image. Warp correction may be defined by multiple values stored in a warp table. The warp correction may include a directional warp correction along an initial direction (e.g., horizontal direction) of the input image to create an intermediate image. The warp correction may also include another directional warp correction along a different direction (e.g., vertical direction) of the intermediate image to create the output image. 
     The circuit  134  may implement a single-port memory circuit. The circuit  134  may be operational to store the warp table  140  used by the circuit  132 . The circuit  134  generally has a single x-bit wide data port, a single y-bit wide address port and corresponding command and control interfaces. In some embodiments, the circuit  134  may implement a nonvolatile memory. In other embodiments, the circuit  134  may implement a volatile memory with the warp table  140  being loaded at power up and/or reset. In still other embodiments, the circuit  134  may implement a multi-port memory with a single port being utilized in a design of the circuit  130 . The circuit  134  may be fabricated either on (in) a same die as the circuit  132  or on (in) a separate die from the circuit  132 . 
     The circuit  136  may implement one or more memory circuits. The circuit  136  may be operational to establish an input tile buffer  142  and an output tile buffer  144  in different addressable areas. In some embodiments, the circuit  136  may comprise two or more memories with the buffer  142  residing in one memory circuit and the buffer  144  residing in another memory circuit. The circuit  136  may be fabricated either on (in) a same die as the circuit  132  or on (in) a separate die from the circuit  132 . The circuit  136  may also be fabricated either on (in) a same die as the circuit  134  or on (in) a separate die from the circuit  134 . 
     The circuit  132  generally comprises a circuit (or module)  146 , a circuit (or module)  148 , a circuit (or module)  150 , a circuit (or module)  152  and a circuit (or module)  154 . The circuits  146  and  148  may bidirectionally communicate with the circuit  154 . The circuit  154  may bidirectionally communicate with the circuit  134  to access the warp table  140 . The circuit  150  may bidirectionally communicate with the circuit  136  to access the buffer  142 . The circuit  152  may bidirectionally communicate with the circuit  136  to access the buffer  142  and the buffer  144 . The circuits  146 - 154  are generally arranged in a pipeline fashion such that each circuit  146 - 152  is in bidirectional communication with a neighboring circuit  146 - 152 . In some embodiments, additional pipelined circuits may be included in the circuit  132  at the output-end of the circuit  152 . 
     The circuit  146  may implement a stage of the pipeline. The circuit  146  is generally operational to fetch a portion of the warp table  140  from the circuit  134  corresponding to a current tile row being analyzed. The circuit  146  may also generate a minimum warp field across the current tile row in the output image utilizing the warp table  140 . Generally, the circuit  146  may calculate warp fields at the top-left point of the tile row using one-dimensional interpolation. The one-dimensional interpolation may be repeated at incremental points along the top line at every vertical grid crossing. The above approach may result in reading at most two table entries from the warp table  140  per grid spacing. The minimum warp field may be passed to the circuit  148 . 
     The circuit  148  may implement another stage of the pipeline. The circuit  148  is generally operational to fetch a portion of the warp table  140  from the circuit  134  corresponding to the current tile row. The circuit  148  may also generate multiple interpolation parameters of the tile row based on the warp table  140 . The interpolation parameters and the minimum warp field may be passed to the circuit  150 . 
     The circuit  150  may implement another stage of the pipeline. The circuit  150  is generally operational to fetch an input tile of an input image into the buffer  142 . The fetching may be based on the interpolation parameters generated by the circuit  148  and the minimum warp field generated by the circuit  146 . The circuit  150  is also operational to generate multiple phasing parameters corresponding to the input tile. The interpolation parameters, minimum warp field and phasing parameters may be transferred to the circuit  152 . 
     The circuit  152  may implement another stage of the pipeline. The circuit  152  is generally operational to fetch several neighboring input pixels from the buffer  142 . The circuit  152  may generate output tiles in the tile row of the output image based on the interpolation parameters, the phasing parameters and the input tile. The output tiles may be written to the buffer  144  for subsequent use in other parts of the apparatus  130 . 
     The circuit  154  may implement an arbitrator circuit. The circuit  154  is generally operational to perform arbitration between the circuits  146  and  148  for access to the circuit  134  and the warp table  140  therein. In some embodiments, the circuit  154  may be formed external to the circuit  132 . 
     When information generated by a particular circuit  146 - 152  is ready, the particular circuit  146 - 152  may assert a signal (e.g., VALID) to the next neighboring circuit  148 - 152  in the pipeline. A signal (e.g., NEXT) may be generated by the next neighboring circuit  148 - 152  when ready for more information, the signal NEXT may be transferred back to the previous neighboring circuit  146 - 152 . The information may be transferred from a one circuit (e.g., circuit  148 ) to another circuit (e.g., circuit  150 ) when both the signal VALID and the signal NEXT between the neighboring circuits are asserted in the same clock cycle of the signal CLK. Once the information has been transferred, the information may be latched locally in the receiving circuit  148 - 152  and used in the next computations of the stage. 
     The circuits  146  and  148  may arbitrate for access to warp table  140 . The circuit  154  may perform the arbitration. In some embodiments, the arbitration scheme may be a priority arbitration with a highest priority to the circuit  148 . If the circuit  148  is trying to access the circuit  134 , the circuit  148  is generally granted access in the same cycle. If the circuit  148  is not requesting access and the circuit  146  is requesting access, access may be granted to the circuit  146 . Accesses to the warp table  140  from the circuit  146  and the circuit  148  may be time multiplexed with circuit  148  having higher priority. Other arbitration schemes may be implemented to meet the criteria of a particular application. 
     The following definitions are generally used in the descriptions below: 
     OUT_TILE_HEIGHT: Height of the output tile in units of pixels; 
     OUT_TILE_WIDTH: Width of the output tile in units of pixels; 
     GHS: Horizontal grid spacing in units of pixels; 
     GVS: Vertical grid spacing in units of pixels; 
     GVS_: GVS/OUT_TILE_HEIGHT; 
     FILTERTAPS: Number of taps of a Finite Impulse Response (FIR) filter used for generating the output pixels. 
     Referring to  FIG. 5 , a flow diagram of an example method  160  for calculating the minimum warp field is shown. The method (or process)  160  may be implemented by the circuit  146 . The method  160  generally comprises a step (or block)  162 , a step (or block)  164 , a step (or block)  166 , a step (or block)  168 , a step (or block)  170 , a step (or block)  172 , a step (or block)  174 , a step (or block)  176 , a step (or block)  178  and a step (or block)  180 . The steps  162  to  180  may be implemented in hardware, software, firmware or any combination thereof in an apparatus. 
     The circuit  146  generally comprises multiple internal registers. A register (e.g., OUT_TILE_ROW) may point to a current row of a current output tile. Another register (e.g., GRIDCOL) may point to a current grid column. Another register (e.g., GA) may store a warp value read from the warp table  140 . A register (e.g., GC) may store another warp value read from the warp table  140 . A register (e.g., MINIMUM_WARP) may store the minimum warp field value. The circuit  146  may calculate the minimum warp field value across a next output tile row and transfer the minimum warp field value to the circuit  148 . The computation generally occurs once for each output tile row. 
     On power up and/or reset, (i) the value GRIDCOL may be initialized (e.g., GRIDCOL=0), (ii) the value OUT_TILE_ROW may be initialized (e.g., OUT_TILE_ROW=1) and (iii) the circuit  146  may wait for a start of frame in the step  162 . The register GRIDCOL and the register OUT_TILE_ROW may be used as local counters. The start of frame is generally a software mechanism used to start hardware processing. In the step  164 , the circuit  146  may (i) compute GRIDROW=integer (OUT_TILE_ROW/GVS_) and (ii) clear the value MINIMUM_WARP (e.g., MINIMUM_WARP=0). 
     In the step  166 , the circuit  146  may (i) form an address by concatenating the value GRIDROW and the value GRIDCOL (e.g., ADDRESS={GRIDROW, GRIDCOL}), (ii) read the warp table  140  at the address and (iii) latch the read data into the register GA. The step  166  may include (i) generating another address by concatenating the values GRIDROW+1 and GRIDCOL (e.g., ADDRESS={GRIDROW+1,GRIDCOL}), (ii) reading the warp table  140  at the address and (iii) latching the read data into the register GC. In the step  168 , the circuit  146  generally computes a temporary value (e.g., TEMP) as TEMP=GA+(GC−GA)*FRACTION, where FRACTION=(OUT_TILE_ROW % GVS_)/GVS_. The function x % y may be a modulus function that returns the remainder of x divided by y. The circuit  146  may compute MINIMUM_WARP=min(MINIMUM_WARP, TEMP) in the step  170 , where min(a,b)=if(a&lt;b)?a:b. The function x?y:z generally means that if x is true, return the value y, else return the value z. 
     A check may be performed in the step  172  to determine if the value GRIDCOL is that of the rightmost column of the output image. If true (e.g., the YES branch of step  172 ), (i) the signal VALID may be asserted in the step  174 , (ii) the value MINIMUM_WARP may be presented to the circuit  148  and (iii) the circuit  146  waits for the signal NEXT to be activated by the circuit  148 . If false (e.g., the NO branch of step  172 ), the GRIDCOL counter may be incremented in the step  176  and the method  160  returns to the step  166 . 
     Once the signal NEXT has been asserted by the circuit  148 , a check may be performed in the step  178  to determine if the value OUT_TILE_ROW is that of the last row of the output image. If the check is true (e.g., the YES branch of step  178 ), the method  160  may return to the step  162  and wait for the next start of frame. If false (e.g., the NO branch of step  178 ), the value GRIDCOL may be cleared (e.g., GRIDCOL=0) and the value OUT_TILE_ROW may be incremented in the step  180 . The method  160  generally returns from the step  180  to the step  164 . 
     Referring to  FIG. 6 , a flow diagram of an example method  190  for calculating the interpolation parameters is shown. The method (or process)  190  may be implemented by the circuit  148 . The method  190  generally comprises a step (or block)  192 , a step (or block)  194 , a step (or block)  196 , a step (or block)  198 , a step (or block)  200 , a step (or block)  202 , a step (or block)  204 , a step (or block)  206 , a step (or block)  208 , a step (or block)  210 , a step (or block)  212  and a step (or block)  214 . The steps  192  to  214  may be implemented in hardware, software, firmware or any combination thereof in an apparatus. 
     The circuit  148  generally comprises multiple internal registers similar to the internal registers of the circuit  146 . The register OUT_TILE_ROW may point to a current row of a current output tile. The register GRIDCOL may point to a current grid column. The register GA may store a warp value read from the warp table  140 . The register GC may store another warp value read from the warp table  140 . The register MINIMUM_WARP may store the minimum warp field value. The circuit  148  may calculate value for multiple interpolation parameters and transfer the values to the circuit  150 . 
     Referring to  FIG. 7 , a diagram  218  of the interpolation parameters and the chaining operation when crossing a grid boundary (e.g., going from grid X to grid (X+1)) is shown. The circuit  148  is generally operational to compute the interpolation parameters. When a grid boundary is crossed, the circuit  148  may chain the interpolation parameters. The circuit  148  may(i) transfer a N_START_POINT parameter (e.g., warp field at top right corner) into a START_POINT parameter (e.g., warp field at top left corner), (ii) transfer a N_END_POINT parameter (e.g., warp field at bottom right corner) into an END_POINT parameter (e.g., warp field at bottom left corner) and (iii) compute the N_START_POINT parameter and the N_END_POINT parameter for the next grid. The interpolation parameters may include, but are not limited to (i) the START_POINT parameter, (ii) the END_POINT parameter, (iii) the N_START_POINT parameter, (iv) the N_END_POINT parameter, (v) a HORZ_S_INC parameter (e.g., increment along top pixel line) and (vi) a HORZ_E_INC parameter (e.g., increment along bottom pixel line) as illustrated. 
     Returning to  FIG. 6 , on power up and/or reset, the circuit  148  may (i) initialize the value GRIDCOL (e.g., GRIDCOL=0) and (ii) initialize the OUT_TILE_ROW (e.g., OUT_TILE_ROW=0) in the step  192 . The register GRIDCOL and the register OUT_TILE_ROW may be used as local counters. Upon receiving the start of frame, the circuit  148  may compute the value GRIDROW as GRIDROW=integer(OUT_TILE_ROW/GVS_) and wait for the signal VALID to be asserted by the circuit  146  in the step  194 . 
     When the signal VALID is asserted by the circuit  146 , the circuit  148  may (i) latch the value MINIMUM_WARP in a local register in the step  196 , (ii) generate an address by concatenation of GRIDROW and GRIDCOL (e.g., ADDRESS={GRIDROW,GRIDCOL}), (iii) read the warp table  140  from the address and (iv) latch the read data into the register GA. In the step  196  may also include (i) forming another address by concatenation of the values GRIDROW+1 and GRIDCOL (e.g., ADDRESS={GRIDROW+1,GRIDCOL}), (ii) read data from the warp table  140  from the address and (iii) latch the read data into register GC. 
     In the step  198 , the circuit  148  may compute (i) START_POINT=GA+(GC−GA)*FRACTION, where FRACTION=(OUT_TILE_ROW % GVS_)/GVS_, (ii) END_POINT=START_POINT+(GC−GA)*FRACTION where FRACTION=1/GVS_and (iii) increment the value GRIDCOL (e.g., GRIDCOL=+1). The circuit  148  may use the step  200  to (i) form an address by concatenating the values GRIDROW and GRIDCOL (e.g., ADDRESS={GRIDROW,GRIDCOL}), (ii) read the warp table  140  from the address and (iii) latch the read the read data into register GA. The step  200  may also include (i) forming another address by concatenating the values GRIDROW+1 and GRIDCOL (e.g., ADDRESS={GRIDROW+1,GRIDCOL}), (ii) read the warp table  140  from address and (iii) latch the read data into register GC. 
     In the step  202 , the circuit  148  may compute (i) N_START_POINT=GA+(GC−GA)*FRACTION, where FRACTION=(OUT_TILE_ROW % GVS_)/GVS_and (ii) N_END_POINT=N_START_POINT+(GC−GA)*FRACTION, where FRACTION=1/GVS_. The circuit  148  may compute (i) an increment along the top horizontal line (e.g., HORZ_S_INC=(N_START_POINT−START_POINT)/GHS, where the value GHS is horizontal grid spacing in units of pixels) in the step  204  and (ii) an increment along the bottom horizontal line (e.g., HORZ_E_INC=(N_END_POINT−END_POINT)/GHS. 
     In the step  206 , the signal VALID may be asserted to the circuit  150  and the circuit  148  may wait for the signal NEXT to be asserted by the circuit  150 . Once the signal NEXT has been asserted by the circuit  150 , the circuit  148  may check to determine if the value GRIDCOL is that of the rightmost column of the image in the step  208 . If true (e.g., the YES branch of step  208 ), the circuit  148  may check in the step  210  to determine if the value OUT_TILE_ROW is that of the last row. If the check in the step  208  is false (e.g., the NO branch of step  208 ), the circuit  148  may (i) move the value N_START_POINT into the value START_POINT, (ii) move the value N_END_POINT into the value END_POINT, (iii) increment the value GRIDCOL in the step  212  and proceed to the step  200 . 
     If the value OUT_TILE_ROW is that of the last row of the image (e.g., the YES branch of step  210 ), the process may return to step  192  and wait for the next start of frame. If the check is false (e.g., the NO branch of step  210 ), the circuit  148  may (i) increment the value OUT_TILE_ROW by one, (ii) clear the value GRIDCOL (e.g., GRIDCOL=0) and return to the step  194 . 
     Referring to  FIG. 8 , a flow diagram of an example method  220  for calculating a motion vector and fetching an input tile is shown. The method (or process)  220  may be implemented by the circuit  150 . The method  220  generally comprises a step (or block)  222 , a step (or block)  224 , a step (or block)  226 , a step (or block)  227 , a step (or block)  228 , a step (or block)  230 , a step (or block)  232 , a step (or block)  234 , a step (or block)  236 , a step (or block)  238 , a step (or block)  240  and a step (or block)  242 . The steps  222  to  242  may be implemented in hardware, software, firmware or any combination thereof in an apparatus. 
     The circuit  150  may be operational to fetch input tiles into the buffer  142 . Once a complete input tile is in the buffers local to the circuit  150 , the signal VALID may be asserted to the circuit  152 . The circuit  150  generally comprises multiple internal registers. A pair of registers (e.g., A and B) may be used to store intermediate calculated values. A register (e.g., CURRENT_PHASE) may store a pointer into the input picture. For an output pixel line N, a value of CURRENT_PHASE may be N*PHASE_INC. A register (e.g., SBASE) may store an address of the initial row stored in the image buffer  102 , image buffer  106 . The address may refer to the input picture. An address=0 may be an initial row of the input picture. The register MINIMUM_WARP may store the value of the minimum warp field. A register (e.g., ZERO_POINT) may store an address of an initial row of an input tile in the buffer  142 . A register (e.g., MV) may store an offset address into the image buffer  102 , image buffer  106 . MV=(row=0, column=0) generally means an initial row and an initial column in the image buffer  102 , image buffer  106 . A register (e.g., OUT_TILE_WIDTH) may store the width of the output tiles. The circuit  150  may calculate values for multiple phasing parameters and transfer the phasing parameter values, the interpolation values and the value MINIMUM_WARP to the circuit  152 . The phasing parameters may include, but are not limited to, the value CURRENT_PHASE and the value ZERO_POINT. The values in the registers CURRENT_PHASE and SBASE may be used to compute the value in the register MV, which is an address into the image buffer  102 , image buffer  106 . The values in the registers CURRENT_PHASE and ZERO_POINT are generally used to compute the address into the buffer  142 . 
     On power up and/or reset, the circuit  150  may (i) clear the register SBASE (e.g., SBASE=0), the register CURRENT_PHASE (e.g., CURRENT_PHASE=0), the register MINY (e.g., MINY=0) and the register OUT_TILE_COL (e.g., OUT_TILE_COL=0) in the step  222 . Upon receipt of the start of frame, the circuit  150  may wait for the circuit  148  to assert the signal VALID in the step  224 . 
     Once the signal VALID has been asserted by the circuit  148 , the circuit  150  may latch the values START_POINT, END_POINT, HORZ_S_INC, HORZ_E_INC and MINIMUM_WARP in the step  226  as received from the circuit  148 . In step  227 , the circuit  150  may compute a motion vector (e.g., MV) as: 
     1. B=A+(OUT_TILE_WIDTH−1)*HORZ_S_INC 
     2. ZERO_POINT=CURRENT_PHASE+min(A, B)+1−FILTERTAPS/2 
     3. MV=ZERO_POINT-SBASE 
     A check may be performed in the step  228  to determine if space is available in the buffer  142  to hold a complete new input tile. If space is available (e.g., the YES branch of step  218 ), the circuit may fetch the new input tile into the buffer  142  in the step  230  from an ADDRESS (X,Y)=(OUT_TILE_COL,MV) of the image buffer  102 , image buffer  106 . If insufficient space is available (e.g., the NO branch of step  228 ), the circuit  150  may wait in the step  232  for space to become available, then fetch the new input tile in the step  230 . 
     A check may be performed in the step  234  to determine if a grid boundary crossing is in progress. If the condition is true (e.g., the YES branch of step  234 ), another check may be made in the step  236 . If the condition is false (e.g., the NO branch of step  234 ), the circuit  150  may calculate A=+OUT_TILE_WIDTH*HORZ_S_INC in the step  238  and return to the step  227 . 
     The step  236  may determine if the right edge of the image has been reached. If false (e.g., the NO branch of step  236 ), the method  220  may proceed to the step  242 . If true (e.g., the YES branch of step  236 ), the circuit  150  may calculate CURRENT_PHASE=+PHASE_INC*OUT_TILE_HEIGHT in the step  240 , where PHASE_INC may be programmable from (0,1]. When the value PHASE_INC is programmed less than 1, an up-sampling may be achieved as well as warping. If the value PHASE_INC is programmed with 1, a warping may be achieved without up-sampling. The step  240  may also set SBASE=integer(CURRENT_PHASE+MINIMUM_WARP−FILTERTAPS/2+1). Thereafter, the method  220  may proceed to the step  242 . 
     A check may be made in the step  242  to determine if an end of frame has been reached. If the end of frame has been reached (e.g., the YES branch of step  242 ), the method  220  may return to step  222  and wait for a next start of frame. If no end of frame has been reached (e.g., the No branch of step  242 ), the method  220  may return to the step  224  and wait for the circuit  148  to assert the signal VALID. 
     Referring to  FIG. 9 , a flow diagram of an example method  250  for calculating the output pixels is shown. The method (or process)  250  may be implemented by the circuit  152 . The method  250  generally comprises a step (or block)  252 , a step (or block)  254 , a step (or block)  256 , a step (or block)  258 , a step (or block)  260 , a step (or block)  262 , a step (or block)  264 , a step (or block)  266  and a step (or block)  268 . The steps  252  to  268  may be implemented in hardware, software, firmware or any combination thereof in an apparatus. 
     The circuit  152  may be operational to fetch pixels from the buffer  142 , generate the output pixels and store the output pixels in the buffer  144 . Generation of the output tiles may be performed in inverse raster scan order. Once a complete output tile is written to the buffer  144 , the output tile may be sent to either a next camera block in the pipeline of the circuit  132  and/or stored to an external memory for display/modification later. 
     On power up and/or reset, the circuit  152  may clear the local registers in the step  252  and wait for the signal VALID to be asserted by the circuit  150 . Once the signal VALID is asserted, the circuit  152  may (i) latch into the local registers the values CURRENT_PHASE, ZERO_POINT, END_POINT, START_POINT, HORZ_S_INC and HORZ_E_INC as received from the circuit  150  and (ii) initialize a column counter (e.g., COLUMN=0) in the step  254 . In the step  256 , the circuit  152  may (i) compute a vertical increment (e.g., VERTICAL_INCREMENT) as VERTICAL_INCREMENT=END_POINT−START_POINT, (ii) compute PHASE=CURRENT_PHASE (e.g., the CURRENT_PHASE received from the circuit  150 ) and (iii) initialize a row counter (e.g., ROW=0). In the step  258 , the circuit  152  may fetch input pixels from the buffer  142  starting from an ADDRESS=integer(PHASE−FILTERTAPS/2−1)−ZERO_POINT. The number of pixels fetched generally depends upon the filter values (e.g., FILTERTAPS) of the FIR filter. The step  258  may include (i) applying the FIR filtering on the fetched input pixels to generate an output pixel at a point (ROW,COLUMN) in the output tile and (ii) computing PHASE=+(PHASE_INC+VERTICAL_INCREMENT). 
     A check may be performed by the circuit  152  in the step  260  to determine if the counter ROW is less than the value OUT_TILE_HEIGHT. If counter ROW is less (e.g., the NO branch of step  260 ), the counter ROW may be incremented in the step  262  and the method  250  returns to the step  258  to calculate the next output pixel. Once the counter ROW reaches the value OUT_TILE_HEIGHT (e.g., the NO branch of step  260 ), the counter COLUMN may be incremented in the step  264 . 
     A check may be performed in the step  266  to determine if the counter COLUMN is less than the value OUT_TILE_WIDTH. If the counter COLUMN is less (e.g., the YES branch of step  266 ), the circuit  152  may (i) compute START_POINT=START_POINT+HORZ_S_INC and (ii) END_POINT=END_POINT+HORZ_E_INC in the step  268 . Thereafter, the method  250  may return to the step  256  to work on the next output column. Once the counter COLUMN reaches the value OUT_TILE_WIDTH (e.g., the NO branch of step  266 ), the method  250  may return to the step  252  and wait for the signal VALID to be come active again 
     The functions performed by the diagrams of  FIGS. 1 ,  4 ,  6 ,  8  and  9  may be implemented using one or more of a conventional general purpose processor, digital computer, microprocessor, microcontroller, RISC (reduced instruction set computer) processor, CISC (complex instruction set computer) processor, SIMD (single instruction multiple data) processor, signal processor, central processing unit (CPU), arithmetic logic unit (ALU), video digital signal processor (VDSP) and/or similar computational machines, programmed according to the teachings of the present specification, as will be apparent to those skilled in the relevant art(s). Appropriate software, firmware, coding, routines, instructions, opcodes, microcode, and/or program modules may readily be prepared by skilled programmers based on the teachings of the present disclosure, as will also be apparent to those skilled in the relevant art(s). The software is generally executed from a medium 
     The present invention may also be implemented by the preparation of ASICs (application specific integrated circuits), Platform ASICs, FPGAs (field programmable gate arrays), PLDs (programmable logic devices), CPLDs (complex programmable logic device), sea-of-gates, RFICs (radio frequency integrated circuits), ASSPs (application specific standard products) or by interconnecting an appropriate network of conventional component circuits, as is described herein, modifications of which will be readily apparent to those skilled in the art(s). 
     The present invention thus may also include a computer product which may be a storage medium or media and/or a transmission medium or media including instructions which may be used to program a machine to perform one or more processes or methods in accordance with the present invention. Execution of instructions contained in the computer product by the machine, along with operations of surrounding circuitry, may transform input data into one or more files on the storage medium and/or one or more output signals representative of a physical object or substance, such as an audio and/or visual depiction. The storage medium may include, but is not limited to, any type of disk including floppy disk, hard drive, magnetic disk, optical disk, CD-ROM, DVD and magneto-optical disks and circuits such as ROMs (read-only memories), RAMs (random access memories), EPROMs (electronically programmable ROMs), EEPROMs (electronically erasable ROMs), UVPROM (ultra-violet erasable ROMs), Flash memory, magnetic cards, optical cards, and/or any type of media suitable for storing electronic instructions. 
     The elements of the invention may form part or all of one or more devices, units, components, systems, machines and/or apparatuses. The devices may include, but are not limited to, servers, workstations, storage array controllers, storage systems, personal computers, laptop computers, notebook computers, palm computers, personal digital assistants, portable electronic devices, battery powered devices, set-top boxes, encoders, decoders, transcoders, compressors, decompressors, pre-processors, post-processors, transmitters, receivers, transceivers, cipher circuits, cellular telephones, digital cameras, positioning and/or navigation systems, medical equipment, heads-up displays, wireless devices, audio recording, storage and/or playback devices, video recording, storage and/or playback devices, game platforms, peripherals and/or multi-chip modules. Those skilled in the relevant art(s) would understand that the elements of the invention may be implemented in other types of devices to meet the criteria of a particular application. 
     While the invention has been particularly shown and described with reference to the preferred embodiments thereof, it will be understood by those skilled in the art that various changes in form and details may be made without departing from the spirit and scope of the invention.