Multi-level Partition of Unity Implicits

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Multi-level Partition of Unity Implicits (2003)

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by Yutaka Ohtake , Alexander Belyaev , Marc Alexa , Greg Turk , Hans-Peter Seidel

Venue:	ACM TRANSACTIONS ON GRAPHICS
Citations:	217 - 7 self

BibTeX

@ARTICLE{Ohtake03multi-levelpartition,
    author = {Yutaka Ohtake and Alexander Belyaev and Marc Alexa and Greg Turk and Hans-Peter Seidel},
    title = {Multi-level Partition of Unity Implicits},
    journal = {ACM TRANSACTIONS ON GRAPHICS},
    year = {2003},
    volume = {22},
    pages = {463--470}
}

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Abstract

We present a shape representation, the multi-level partition of unity implicit surface, that allows us to construct surface models from very large sets of points. There are three key ingredients to our approach: 1) piecewise quadratic functions that capture the local shape of the surface, 2) weighting functions (the partitions of unity) that blend together these local shape functions, and 3) an octree subdivision method that adapts to variations in the complexity of the local shape. Our approach

Keyphrases

multi-level partition unity implicits local shape shape representation octree subdivision method key ingredient local shape function unity implicit surface large set surface model piecewise quadratic function weighting function

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