Orbit trap rendering methods for generating colorful symmetric images in three-dimensional space. (English) Zbl 1331.68255
Summary: Automatic generation of colorful symmetric images is considered by using orbit trap rendering methods. Orbit traps with appropriate symmetries are constructed to determine the density functions for the creation of colorful images. Furthermore, complete proofs of the orbit trap methods compatible with equivariant functions with respect to the tetrahedral and cubic symmetries are given.
MSC:
| 68U05 | Computer graphics; computational geometry (digital and algorithmic aspects) |
| 28A80 | Fractals |
| 37C25 | Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
Software:
CUDAReferences:
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