Adaptive polygonisation of non-manifold implicit surfaces

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Conference Proceeding
Computer Graphics, Imaging And Vision: New Trends, 2005, pp. 257 - 263
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We discuss the polygonisation and rendering of non-manifold implicit surfaces using adaptive octree subdivision and interval arithmetic for surface exclusion in octree nodes. We present a new algorithm that polygonises some surfaces that self intersect, or have other non-manifold features such as separate sections that meet at points. Gradient information is used to resolve ambiguous polygonisations in plotting nodes. A line-stitching algorithm is discussed that allows for multiple polygons to be in a plotting node. We illustrate the algorithm with a number of surfaces that demonstrate its capabilities and limitations.
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