Boundary element color interpolation

Web enabled color smoothing schemes, employed in applications such as VRML, cooperative design tools and online 3D game rendering engines, rely on constant color triangulation. This artifact is unsuitable for high quality medical and microelectronic images. For convex polygonal image-subsets Wachspress’ rational polynomial shape functions provide the best continuous coloring. It is available only via symbolic computer algebra. A numerical finite difference or boundary element code, which can simulate potentials in anisotropic media, furnishes an efficient alternative. This chromatic anisotropy emerges from projective geometry and perspective transformations between changing images for which the analogous kinematics can best be modeled by boundary elements. Color mixing depends on the RGB, HSB and CMYK representations, moreover there is no unique notion of a ‘linear color distribution’ along the boundary. In monitoring medical images or controlling remote experiments, the algorithm to determine the dynamic anisotropic factor can be codified and then compiled for any web browser, which can launch a boundary element code (e.g., BEASY), to display time series data in color.