Generalized scanning technique for display of parametrically defined surfaces
IEEE Computer Graphics and Applications
Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
New computer methods for global optimization
New computer methods for global optimization
Polygonization of implicit surfaces
Computer Aided Geometric Design
Scan line display of algebraic surfaces
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Computer graphics: principles and practice (2nd ed.)
Computer graphics: principles and practice (2nd ed.)
Graphics gems IV
Cutting cubes—visualizing implicit surfaces by adaptive polygonization
The Visual Computer: International Journal of Computer Graphics
Using particles to sample and control implicit surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Surfels: surface elements as rendering primitives
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
QSplat: a multiresolution point rendering system for large meshes
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
The randomized z-buffer algorithm: interactive rendering of highly complex scenes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Efficient high quality rendering of point sampled geometry
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
Rasterizing Algebraic Curves and Surfaces
IEEE Computer Graphics and Applications
Ray tracing algebraic surfaces
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Rendering the Intersections of Implicit Surfaces
IEEE Computer Graphics and Applications
Iso-Splatting: A Point-Based Alternative to Isosurface Visualization
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Point based rendering of non-manifold surfaces with contours
Proceedings of the 2nd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Perspective accurate splatting
GI '04 Proceedings of the 2004 Graphics Interface Conference
Adaptive Polygonisation of Non-Manifold Implicit Surfaces
CGIV '05 Proceedings of the International Conference on Computer Graphics, Imaging and Visualization
Arbitrary 3d resolution discrete ray tracing of implicit surfaces
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
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We are concerned with producing high quality images of implicit surfaces, in particular those with non-manifold features. In this work we present a point based technique that improves the rendering of non-manifold implicit surfaces by using point and gradient information to prune plotting nodes resulting from using octree spatial subdivision based on the natural interval extension of the surface's function. The use of intervals guarantees that no parts of the surfaces are missed in the view volume and the combination of point and gradient sampling preserves this feature while greatly enhacing the quality of point based rendering of implicit surfaces. We also sucessfully render non-manifold features of implicit surfaces such as rays and thin sections. We illustrate the technique with a number of example surfaces.