Topological Considerations in Isosurface Generation Extended Abstract Jane Wilhelms and Allen Van Gelde r University of California, Santa Cru z 1 Introductio n An emerging technique for extracting isosurfaces fro m sampled data is to consider cells with sample points a s corners and approximate the isosurface in each cell b y polygons whose vertices lie between sample points wit h values on opposite sides of the threshold . When a cell face has an intersection point in each of its four edges, the correc t connection among intersection points becomes ambiguous . An incorrect connection can lead to erroneous topology i n the rendered surface, and possible discontinuities . This paper studies the problems of disambiguation , reports on some solutions, and presents some statistics o n the occurrence of ambiguities . We show that disambiguation methods, to be at all accurate, need to consider sampl e values in the neighborhood outside the cell . We introduc e two gradient-consistency heuristics that disambiguate a t reasonable computational cost and give correct topology o n several examples that caused problems for other method s we examined . The full version of this extended abstract i s available as
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Topological considerations in isosurface generation extended abstract
Wilhelms, Jane; Van Gelder, Allen
Follow ACM SIGGRAPH Computer Graphics
, Volume 24 (5)
Association for Computing Machinery – Nov 1, 1990
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