Texture Generation on Irregular Regions
NAVAL COMMAND CONTROL AND OCEAN SURVEILLANCE CENTER RDT AND E DIV SAN DIEGO CA
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This paper describes a technique for the solution of systems of symmetric parabolic partial differential equations that are associated with the generation of biologic texture generating equations on the highly irregular regions associated with complex image geometries. This technique, when used with an automatic grid generation program allows for the direct and efficient generation of textures on complex surfaces. Since there is a one to one correspondence between the generated texture in the transformed domain and the original surface there is no need to map the generated texture pattern back to the surface of interest. This technique can be applied to large systems of reaction diffusion equations, thus expanding the set of patterns that can be produced using models based upon reaction-diffusion equations. In addition, textures based upon variable diffusion constants can be generated including a wide range of anisotropic textures. Irregular geometries, Parabolic equations, Iterative methods, Reaction-diffusion, Mathematical modeling, Texture.
- Printing and Graphic Arts