Fast and Memory Efficient Polygonal Simplification

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Fast and Memory Efficient Polygonal Simplification (1998)

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by Peter Lindstrom , Greg Turk

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157 - 7 self

BibTeX

@MISC{Lindstrom98fastand,
    author = {Peter Lindstrom and Greg Turk},
    title = {Fast and Memory Efficient Polygonal Simplification},
    year = {1998}
}

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Abstract

Conventional wisdom says that in order to produce high-quality simplified polygonal models, one must retain and use information about the original model during the simplification process. We demonstrate that excellent simplified models can be produced without the need to compare against information from the original geometry while performing local changes to the model. We use edge collapses to perform simplification, as do a number of other methods. We select the position of the new vertex so that the original volume of the model is maintained and we minimize the per-triangle change in volume of the tetrahedra swept out by those triangles that are moved. We also maintain surface area near boundaries and minimize the per-triangle area changes. Calculating the edge collapse priorities and the positions of the new vertices requires only the face connectivity and the the vertex locations in the intermediate model. This approach is memory efficient, allowing the simplification of very large polygonal models, and it is also fast. Moreover, simplified models created using this technique compare favorably to a number of other published simplification methods in terms of mean geometric error.

Keyphrases

memory efficient polygonal simplification new vertex face connectivity original volume high-quality simplified polygonal model surface area edge collapse original model per-triangle change original geometry simplification method intermediate model per-triangle area change simplification process conventional wisdom mean geometric error large polygonal model local change edge collapse priority vertex location technique compare

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