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RELATED APPLICATIONS  
       [0001]    This application claims the benefit of U.S. Provisional Application Ser. No. 61/836,731, Jun. 19, 2013, entitled SINUOUS TRAFFIC LINE, the entire disclosure of which is herein incorporated by reference. 
     
    
     FIELD OF THE INVENTION  
       [0002]    This invention relates to systems to facilitate the traffic safety and more particularly to the arrangement and disposition of traffic lines. 
       BACKGROUND OF THE INVENTION  
       [0003]    Traffic lines are an accepted device in the field of traffic safety. The earliest traffic lines were put into use by Edward N. Hines on Trenton&#39;s River Road in Wayne County, Mich. Later refinements led to single and double lines, broken lines located in the center of the roadway and along the edges. 
         [0004]    Traffic lines can be painted with a basic permanent paint that is optimally visible only under the best illumination. Given that roadways are travelled by day and night, in conditions of clear weather, fog, snow, sleet, smoke or other visual impairments. Under these circumstances, the paint can become invisible and increase the risks to the traveler. Furthermore, even the stoutest paint can be rubbed off the road surface by plow trucks, sand and other causes. Roadway engineers have determined that thermoplastic paints last longer than common paint and that small glass beads added to the mixture create a reflective surface that increases visibility under inclement conditions and at night. Thermoplastic traffic paint is generally applied in two coats, each of 60 mil thickness. The colors used are white and yellow. The thermoplastic paint is applied hot by spraying of extruded as a ribbon and is 4 inches in width. The glass beads are added while the mixture is still molten hot. The mixture starts as a homogenous dry mix of binder resins, plasticizers, glass beads (or similar material bead), pigments and fillers. The mixture is heated to approximately 400 degrees Fahrenheit and placed into the dispenser, which is mounted on a vehicle or a small “walk behind” manually operated device. The lines can be uniform on their upper surface or embossed with diamond or other patterns to increase reflectivity. The application of a binding agent prior to the application of the traffic line material can improve the longevity of the traffic lines. 
         [0005]    The visibility of traffic lines remains a problem for travelers. The lines tend to be elongated ribbons of reflective material when viewed from the driver&#39;s seat. Over time, the traveler&#39;s visual acuity can degrade from fatigue and the homogeneity of the elongated lines lose their relevance, increasing the risk to the driver.  FIG. 1  is a view of a roadway  100  provided with traffic lines  102  and a truck  104  that is driving with the assistance of its headlights  106  and their cast beams  108 . The extent of the driver&#39;s optimal visibility is represented by broken line  110 . The lines  102  are evenly spaced and stretch off into the gloom and darkness, disappearing beyond the optimal visibility extent  110 . It would be desirable to provide a traffic line that is reflective and constructed and arranged to be visually stimulating and maintain the interest of the driver, thereby increasing highway safety. 
       SUMMARY OF THE INVENTION  
       [0006]    This invention overcomes the disadvantages of the prior art by providing a sinusoidal traffic line that has scalloped edges to form a sine wave that increases visibility under conditions of reduced visibility, for example, during rain, night or fog. The traffic line is formed of a pre-cut ribbon or applied traffic line material (e.g., sprayed thermoplastic material). The traffic lines have a wavy left edge and a wavy right edge. The edges are formed in a regular pattern, having a regular amplitude and wavelength relative to a directional vector along the axis of the traffic line. In an embodiment, a pattern of the wavy left edge corresponds to and is identical to a pattern of the wavy right edge. The line is reflective of light and can be formed of a thermoplastic mixture to which a quantity of glass beads has been added. The sinusoidal traffic lines have a regular lateral amplitude of approximately 1 to 2 inches at a wavelength of approximately 4 to 6 inches. The longitudinal wavelength and lateral amplitude can be varied greater and lesser depending on the prevailing travel speed of the underlying road. In another embodiment, the patterns of the outer edges are arranged in an opposite arrangement such that they converge and diverge, having a regular lateral amplitude of approximately 2 to 4 inches. The upper surface of the traffic line can be embossed by an embossed device so as to create a regular pattern and increase reflectivity. In an embodiment, an embossed pattern is a diamond pattern. 
         [0007]    The sinusoidal traffic line is created by applying a pre-cut ribbon having a regular pattern or by applying traffic line material via an applicator head and nozzle. An applicator device can be a walk-along machine or a vehicle mounted device. A mixture of traffic line material is placed into the applicator device and is pre-heated. 
         [0008]    Thermoplastic traffic paint is pre-heated to approximately 400 degrees Fahrenheit. A pre-determined quantity of glass beads is added to the mixture and pressure is applied to carry the mixture through a feed line to an applicator head that is provided with a nozzle. The applicator head is set at a pre-determined elevation. The applicator head is moved laterally relative to the direction of travel and the applicator device forward travel rate is set such that lines having the desired amplitude and wavelength are created. The applicator device can be provided with an embossing device to create a regular pattern on the upper line surface (i.e., a diamond pattern) to increase reflectivity. In other embodiments, the nozzle can have variable geometry walls to create the sinusoidal line, a rotatable off-center nozzle head or a swinging nozzle head. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS  
         [0009]    The invention description below refers to the accompanying drawings, of which: 
           [0010]      FIG. 1 , already described, is a view of a vehicle traveling along a road way under reduced visibility conditions, according to the prior art; 
           [0011]      FIG. 2  is a view of a portion of an illustrative traffic line, according to an embodiment; 
           [0012]      FIG. 3  is a view of a portion of an illustrative traffic line, according to an alternate embodiment; 
           [0013]      FIG. 4  is a view of a vehicle traveling along a road way under reduced visibility, according to the illustrative embodiment; 
           [0014]      FIG. 5  is a view of a portion of an applicator for applying sinusoidal traffic lines to a road way surface, according to an illustrative embodiment; and 
           [0015]      FIG. 6  is a schematic diagram of the steps in the application of material to create sinusoidal traffic lines, according to the illustrative embodiment. 
       
    
    
     DETAILED DESCRIPTION  
       [0016]    A portion of an illustrative sinusoidal traffic line  200  is shown in  FIG. 2  and is defined as resembling a sine wave in shape. The sinusoidal lines are formed by “scalloping” the edges, that is to say, by omitting material by removal or non-application. LE is the axis of the left side edge of a traffic line and RE is the axis of the right side edge of a traffic line, relative to the center axis AA of the traffic line. The scalloping can be created by omitting material from the lines during their application, so that there are areas  202  of omitted material. The scalloping pattern is regular and is constructed and arranged as a sine wave relative to the vector AA of the line. In an embodiment, a pattern of the wavy left edge corresponds to and is identical to a pattern of the wavy right edge and is in phase. The inner limit axis IA of the sine-wave shaped outer edge line is proportionate and congruent to the outer left side edge LE. The shape of the outer line is comprised of “crests”  208  and “troughs”  210 . 
         [0017]    The amplitude AL of the sine wave shaped edge, the distance between the illustrative left side edge axis LE and the inner limit axis is approximately 1-2 inches. The wavelength of the sine wave shaped edge, that being the distance between respective adjacent centers of troughs  210  and/or adjacent centers of crests  208  is approximately 4-6 inches. It is expressly contemplated that the amplitude can be arranged to be greater or lesser as desired by the engineer, based on the conditions of the roadway and speed of vehicles upon it. While the omission of material from the line narrows the actual width WL of the line, the apparent line width WL is approximately 4 inches, the distance from the left side edge axis LE to the right side edge axis RE. The line  200  is arranged so that the sine-wave shape of the left edge and the shape of the right side are aligned and synchronized. 
         [0018]    The omission of the material to create the sinusoidal line can be accomplished by a mechanism that induces a sinusoidal movement to produce a line having the desired amplitude AL and wavelength FL or by providing a ready made, formed ribbon that is pre-cut in a sinusoidal pattern. The omission of material to create the sinusoidal lines can reduce the overall material requirements for creating the line by approximately 20-30 percent, greatly reducing road costs at creation and maintenance. The longitudinal wavelength and lateral amplitude can be varied greater and lesser depending on the prevailing travel speed of the underlying road. 
         [0019]      FIG. 3  depicts a sinusoidal traffic line  300  that is arranged so that the crests  306  and troughs  308  are counterpoised and asynchronous, according to another embodiment. The shapes of the lines are formed and arranged as set forth above, and include regions  302  of omitted material. This creates a series of relatively wide and narrow segments. The sinusoidal wavy lines are 180 degrees out of phase and have opposing amplitudes. The overall visual effect to the traveler of synchronous and asynchronous lines when viewed at a distance of approximately 10 feet at a relatively low angle of 2-3 degrees is that the line is not scalloped. Therefore, travelers would not be upset by the scalloping. The sine-shaped waves are more visible than the lines in the prior art because the scalloped edges create small areas of black between the crests and troughs and an enhancement of the reflective areas of the line. This makes the lines appear to be relatively “brighter”. 
         [0020]      FIG. 4  shows a segment of a roadway  400  provided with sinusoidal traffic lines  401  is traveled by a vehicle  402  that is moving along the axis of travel AT. The truck&#39;s headlights  404  cast beams  406  that illuminate the roadway  400 . The troughs  420  and crests  422  appear bright against the intervening omitted areas  424 . The visual effect to the vehicle driver (not shown) presents a set of traffic lines that are relatively brighter than conventional parallel lines. 
         [0021]    A portion of a spray applicator  500  for creating the sinusoidal traffic line is shown in  FIG. 5 . The applicator can be vehicle mounted device or part of a walk-behind manually operated paint device. The applicator head  502  is provided with a feed line  504  that delivers the pressurized, heated and mixed paint solution from the source to the applicator head  502 . The applicator head is selectively motivated back and forth in a lateral orientation by a drive shaft  506  or similar device that is motor-driven and moves the head  502  back and forth a distance equal to the designated amplitude of the line AL and at a rate that creates the desired wavelength of the line FL as the applicator  500  travels along the axis of the line AA at a pre-determined rate of travel. The pressurized, heated and mixed solution is dispersed through the spray nozzle  508  at the desired width and is arranged to travel at an elevation above the road to produce a line of the desired thickness. 
         [0022]    The control process  600  of applying traffic line material to create sinusoidal traffic lines is set forth in  FIG. 6 . The line material ingredients are mixed in their appropriate quantities and are subjected to heating. When the mixture is sufficiently heated, glass beads are added to the mixture  602 . A pressure source, for example, an air compressor, adds pressure to the heated material and impels a portion of the material into the feed line  604 . The feed line carries the material from the source to the applicator  606 . The material is then dispersed through the nozzle, located in the applicator  606 . The applicator head is arranged for dispersing the line material by first setting the elevation of the head relative to the roadway, so that the application is optimal for the circumstances  610 . The applicator is then adjusted so that its distance of lateral travel will disperse the material in lines having the desired line amplitude  612 . The applicator rate of motion is then set so that the speed of the device will create lines of the desired wavelength by coordinating the forward motion of the device with the lateral motion of the applicator head  614 . The applicator nozzle, set at the desired elevation and having the desired lateral and forward motion to disperse the lines, can begin applying the material  616 . In another embodiment having lines as set forth in  FIG. 3 , the applicator can be provided with more than one nozzle, each having 
         [0023]    The foregoing has been a detailed description of illustrative embodiments of the invention. Various modifications and additions can be made without departing from the spirit and scope of this invention. Features of each of the various embodiments described above may be combined with features of other described embodiments as appropriate in order to provide a multiplicity of feature combinations in associated new embodiments. as used herein the directional terms, such as, but not limited to, “up” and “down”, “top” and “bottom”, “inside” and “outer”, “front” and “back”, “inner” and “outer”, “interior” and “exterior”, “downward” and “upward”, “horizontal” and “vertical” should be taken as relative conventions only, rather than absolute indications of orientation or direction with respect to a direction of the force of gravity. The lines and vehicles depicted are not to scale. 
         [0024]    Furthermore, while the foregoing describes a number of separate embodiments of the apparatus and method of the present invention, what has been described herein is merely illustrative of the application of the principles of the present invention. For example, the colors used can vary from white to yellow or another color. The lines can define regular sine-wave shaped lines or lines that alternate between “fat” and “thin”. The wavelength and amplitude of the lines can vary. The longitudinal wavelength and lateral amplitude can be varied greater and lesser depending on the prevailing travel speed of the underlying road. The thermoplastic material composition can vary and line colors can vary. An embossing device can be used to create surface textures of various and diverse patterns upon the upper surface of the applied traffic line to increase reflectivity. This pattern can include a diamond pattern or another regular symmetric pattern. The movement of the applicator can be guided by a control process that includes GPS (Global Positioning System) for precise application. Accordingly, this description is meant to be taken only by way of example, and not to otherwise limit the scope of this invention.

Summary:
A sinusoidal traffic line that has scalloped edges to form a sine wave that increases visibility under conditions of reduced visibility is formed of a pre-cut ribbon or applied traffic line material (e.g., sprayed thermoplastic material). The traffic lines have a wavy left edge and a wavy right edge. The edges are formed in a regular pattern, having a regular amplitude and wavelength relative to a directional vector along the axis of the traffic line. In another embodiment, the patterns of the outer edges are arranged in an opposite arrangement such that they converge and diverge. The upper surface of the traffic line can be embossed by an embossed device so as to create a regular pattern and increase reflectivity.