Abstract

abstractModular bivariate quadratic functions (quadratic functions of two variables over the integers modulo q) can be used to procedurally generate grey-scale and colour textures that resemble ornamentation, skin, scales, feathers, textiles, and optical illusions. The latter appear to include distorted perspective, false 3D, and Fechner colours, the combination of which is disturbing to some viewers. This technique is particularly suited to parallel execution using a pixel shader since each pixel is computed independently by performing a small number of arithmetic operations on the pixel coordinates. A prototype browser-based procedural texture generator with an interface suitable for use by non-mathematicians such as designers and artists is described.

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