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Mesh Optimization (1993)

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by Hugues Hoppe, et al.
Citations:392 - 8 self
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BibTeX

@MISC{Hoppe93meshoptimization,
    author = {Hugues Hoppe and et al.},
    title = {Mesh Optimization},
    year = {1993}
}

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Abstract

We present a method for solving the following problem: Given a set of data points scattered in three dimensions and an initial triangular mesh wH, produce a mesh w, of the same topological type as wH, that fits the data well and has a small number of vertices. Our approach is to minimize an energy function that explicitly models the competing desires of conciseness of representation and fidelity to the data. We show that mesh optimization can be effectively used in at least two applications: surface reconstruction from unorganized points, and mesh simplification (the reduction of the number of vertices in an initially dense mesh of triangles).

Keyphrases

data point    energy function    initial triangular mesh wh    topological type    surface reconstruction    data well    mesh simplification    dense mesh    mesh optimization    small number    unorganized point   

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