Image rendering by adaptive refinement
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Polygonization of implicit surfaces
Computer Aided Geometric Design
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Algorithms for solid noise synthesis
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Antialiased ray tracing by adaptive progressive refinement
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Guaranteed ray intersections with implicit surfaces
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Robust ray intersection with interval arithmetic
Proceedings on Graphics interface '90
Hierarchical splatting: a progressive refinement algorithm for volume rendering
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Interval arithmetic recursive subdivision for implicit functions and constructive solid geometry
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Using particles to sample and control implicit surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
A cellular texture basis function
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Progressive radiance evaluation using directional coherence maps
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
An improved illumination model for shaded display
Communications of the ACM
A progressive refinement approach to fast radiosity image generation
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Modelling with implicit surfaces that interpolate
ACM Transactions on Graphics (TOG)
Simple and efficient polygonization of implicit surfaces
Journal of Graphics Tools
Ray tracing algebraic surfaces
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Using Particles to Sample and Control More Complex Implicit Surfaces
SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
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The visualisation of implicit surfaces can be an inefficient task when such surfaces are complex and highly detailed. Visualising a surface by first converting it to a polygon mesh may lead to an excessive polygon count. Visualising a surface by direct ray casting is often a slow procedure. In this paper we present a progressive refinement renderer for implicit surfaces that are Lipschitz continuous. The renderer first displays a low resolution estimate of what the final image is going to be and, as the computation progresses, increases the quality of this estimate at an interactive frame rate. This renderer provides a quick previewing facility that significantly reduces the design cycle of a new and complex implicit surface. The renderer is also capable of completing an image faster than a conventional implicit surface rendering algorithm based on ray casting.