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Fast Ray Tracing of Implicit Surfaces
Author(s) -
Sherstyuk Andrei
Publication year - 1999
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/1467-8659.00364
Subject(s) - rendering (computer graphics) , computer science , ray tracing (physics) , bounded function , computer graphics (images) , convolution (computer science) , tracing , algorithm , mathematics , artificial intelligence , mathematical analysis , programming language , physics , optics , artificial neural network
A ray‐tracing algorithm is described for rendering implicit surfaces formed with C 1 ‐continuous bounded functions f ( x , y , z ). This class of functions includes such popular implicit models as blobby molecules, metaballs, soft objects and convolution surfaces. The algorithm employs analytical methods only, which makes it fast, robust, and numerically stable. An earlier version of this work was presented at the 3rd International Workshop on Implicit Surfaces held in Seattle in 1998.