E. S. Panduranga

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This paper shows that by a simple (one way) mapping from quaternions to complex numbers, the problem of generating a 4D Mandelbrot set by iteration of a quadratic function in quaternions can be reduced to iteration of the same function in the complex domain, and thus, the function values in 4D can be obtained by a simple table lookup. The computations are(More)
Reflections in curved surfaces add an additional dimension to the visualization of computer generated scenes. Conventionally, they are generated by either <i>texture mapping</i> or <i>ray tracing</i>. However, these methods have serious drawbacks restricting their use in many applications. In this paper, current methods in rendering reflections in curved(More)
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