Point-based rendering of non-manifold surfaces

Publication Type:
Journal Article
Computer Graphics Forum, 2008, 27 (1), pp. 63 - 72
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We are concerned with producing high-quality images of parametric and implicit surfaces, in particular those with non-manifold features. We present a point-based technique for rendering implicit surfaces that uses octree spatial subdivision with a natural interval exclusion test that guarantees that no parts of the surface are missed. This allows us to render non-manifold implicit surfaces at speeds comparable to parametric surfaces. We also derive criteria that guarantee complete pixel coverage of the surface. The point-based method allows for hidden surface elimination using a z-buffer, and shadow casting using a shadow buffer. We illustrate the technique with a number of surfaces, and discuss its advantages and disadvantages. © 2007 The Eurographics Association and Blackwell Publishing Ltd.
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