to determine an optimal texel of the sample ptm texture and assigning ptm coefficients of the optimal texel to the texel from the random ptm matrix application_number US 92147601 A description the present invention is related to a system and method for synthesizing a parametric texture mapping ptm texture ptm is a computer algorithm for rendering objects using a two dimensional representation of light ptm is desirable because it produces quite realistic images based on material properties while employing reasonable computational complexity additionally it shall be appreciated that the ptm algorithm is capable of producing appreciably greater realism for graphical images than many graphical rendering techniques in ptm a texture may be represented as a matrix of discrete components called u201c texels u201d texels may be understood as being analogous to pixels however texels are not defined to equal a static value or color instead texels are more complex data structures which contain lighting information the lighting information is used to reconstruct the surface color under varying light conditions by encoding lighting information in this manner ptm textures permit perception of surface deformations additionally ptm textures permit perception of self shadowing and interreflections ptm textures may also simulate other optical effects such as anisotropic and frensel shading models in ptm each texel is defined by a biquadric function with six.