Iterative Methods for Visualization of Implicit Surfaces On GPU

Rodrigo de Toledo, Bruno Levy, Jean-Claude
Tecgraf – PUC-Rio, Brazil
Advances in Visual Computing, Lecture Notes in Computer Science, 2007, Volume 4841/2007, 598-609


   title={Iterative methods for visualization of implicit surfaces on gpu},

   author={De Toledo, R. and Levy, B. and Paul, J.C.},

   journal={Advances in Visual Computing},





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The ray-casting of implicit surfaces on GPU has been explored in the last few years. However, until recently, they were restricted to second degree (quadrics). We present an iterative solution to ray cast cubics and quartics on GPU. Our solution targets efficient implementation, obtaining interactive rendering for thousands of surfaces per frame. We have given special attention to torus rendering since it is a useful shape for multiple CAD models. We have tested four different iterative methods, including a novel one, comparing them with classical tessellation solution.
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