Source: http://www.google.ca/patents/US7373286
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Patent US7373286 - Efficient data representation of teeth model - Google PatentsSearch Images Maps Play YouTube News Gmail Drive More »Sign inAdvanced Patent SearchPatentsA computer-implemented method generates a computer model of one or more teeth by receiving as input a digital data set of meshes representing the teeth; selecting a curved coordinate system with mappings to and from a 3D space; and generating a function in the curved coordinate system to represent each...http://www.google.ca/patents/US7373286?utm_source=gb-gplus-sharePatent US7373286 - Efficient data representation of teeth modelAdvanced Patent SearchPublication numberUS7373286 B2Publication typeGrantApplication numberUS 09/888,261Publication date13 May 2008Filing date21 Jun 2001Priority date17 Feb 2000Fee statusPaidAlso published asUS20020055800Publication number09888261, 888261, US 7373286 B2, US 7373286B2, US-B2-7373286, US7373286 B2, US7373286B2InventorsSergey Nikolskiy, Elena Pavloskaia, Huafeng WenOriginal AssigneeAlign Technology, Inc.Export CitationBiBTeX, EndNote, RefManPatent Citations (116), Non-Patent Citations (116), Referenced by (26), Classifications (23), Legal Events (2) External Links: USPTO, USPTO Assignment, EspacenetEfficient data representation of teeth model
US 7373286 B2Abstract
19. The method of claim 1, further comprising detecting teeth collision using the curved coordinate system. Description
FIG. 6A shows a flowchart for a process to create an M�N curve network associated with a tooth. First, the process determines M, the number of slices corresponding to meridian lines crossing the tooth (step 240). Next, the process calculates tangent values for a plurality of planes intersecting with the tooth to define a curve associated with one side of a slice (step 242). One or more sample points and sample tangent values for the sample points are selected (step 244) and the length of the curve is computed (step 246). Next, the process of Fig. 6A divides the length of the curve the N and generates points associated with the M�N curve network (step 248).
FIG. 7 shows an original high-resolution model 250 of a group of lower teeth and various compressed models of the high-resolution model of the teeth. The original high-resolution model requires 2.373 megabytes of data. In comparison, a 20+20 model 252 requires 93 kilobytes, a 30�30 model 254 requires 135 kilobytes, and a 40�40 model requires 193 kilobytes. The reduction in the size of the file reduces the storage as well as transmission requirements while maintaining good quality. At least one orthodontist had noted that the 30�30 model is, for his application, as good as the original high resolution model 250 in developing a treatment plan.
Pseudo-code for the processes of FIGS. 8 and 9 is shown below: EDF2 ConvertTooth ( tooth, resolutionPhi, resolutionTheta )
X=0.5*MoldCenter.X+0.5*X_Max+0.25*MAX(Y_Length, Z_Length)/tan(HalfFieldOfView); Y=MoldCenter.Y Z=MoldCenter.Z−0.25*MAX(Y_Length, Z_Length)/tan( HalfFieldOf View); CameraLookAtPoint:
X=MoldCenter.X; Y=0.5*MoldCenter.Y+0.5*Y_Max+0.25*MAX(X_Length, Z_Length)/tan( HalfFieldOfView); Z=MoldCenter.Z−0.25*MAX(X_Length, Z_Length)/tan(HalfFieldOf View); CameraLookAtPoint:
X=0.5*MoldCenter.X+0.5*X_Min−0.25*MAX(Y_Length, Z_Length)/tan( HalfFieldOfView); Y=MoldCenter.Y; Z=MoldCenter.Z−0.25*MAX(Y_Length, Z_Length)/tan( HalfFieldOf View); CameraLookAtPoint:
X=MoldCenter.X−0.25*X_Length; Y=Y_Min−0.25*MAX(X_Length, Z_Length)/tan( HalfFieldOfView); Z=MoldCenter.Z; CameraLookAtPoint:
X=MoldCenter.X+0.25*X_Length; Y=MoldCenter.Y; Z=MoldCenter.Z; CameraUpVector: ZAxis; Once the intermediate and final data sets have been created and reviewed by an orthodontist or suitably trained person, the appliances may be fabricated as illustrated in FIG. 10. Common fabrication methods employ a rapid prototyping device 501 such as a stereolithography machine. A particularly suitable rapid prototyping machine is Model SLA-250/50 available from 3D System, Valencia, Calif. The rapid prototyping machine 501 selectively hardens a liquid or other non-hardened resin into a three-dimensional structure which can be separated from the remaining non-hardened resin, washed, and used either directly as the appliance or indirectly as a mold for producing the appliance. The prototyping machine 501 receives the individual digital data sets and produces one structure corresponding to each of the desired appliances. Generally, because the rapid prototyping machine 501 may utilize a resin having non-optimum mechanical properties and which may not be generally acceptable for patient use, the prototyping machine typically is used to produce molds which are, in effect, positive tooth models of each successive stage of the treatment. After the positive models are prepared, a conventional pressure or vacuum molding machine is used to produce the appliances from a more suitable material, such as 0.03 inch thermal forming dental material, available from Tru-Tain Plastics, Rochester, Minn. 55902. Suitable pressure molding equipment is available under the trade name BIOSTAR from Great Lakes Orthodontics, Ltd., Tonawanda, N.Y. 14150. The molding machine 551 produces each of the appliances directly from the positive tooth model and the desired material. Suitable vacuum molding machines are available from Raintree Essix, Inc.
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