Authors:
Oleg Fryazinov
;
Alexander Pasko
and
Peter Comninos
Affiliation:
Bournemouth University, United Kingdom
Keyword(s):
Ray tracing, Implicit surfaces, Function representation, Revised Affine Arithmetic.
Related
Ontology
Subjects/Areas/Topics:
Computer Vision, Visualization and Computer Graphics
;
Geometric Computing
;
Geometry and Modeling
;
Real-Time Rendering
;
Rendering
;
Rendering Algorithms
Abstract:
Fast and reliable rendering of implicit surfaces is an important research area in the field of implicit modelling. Direct rendering, namely ray-tracing, is shown to be a suitable technique for obtaining good-quality visualisations of implicit surfaces. We present a technique for reliable ray-tracing of arbitrary procedurally defined implicit surfaces by using a modification of Affine Arithmetic called Revised Affine Arithmetic. A wide range of procedurally defined implicit objects can be rendered using this technique including polynomial surfaces, constructive solids, pseudo-random objects, procedurally defined microstructures, and others. We compare our technique with other reliable techniques based on Interval and Affine Arithmetic to show that our technique provides the fastest, while still reliable, ray-surface intersections and ray-tracing. We also suggest possible modifications for the GPU implementation of this technique for real-time rendering of relatively simple implicit mo
dels and for near real-time rendering of complex implicit models.
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