“Mesh optimization” by Hoppe, DeRose, Duchamp, McDonald Jr. and Stuetzle

  • ©Hugues Hoppe, Tony DeRose, Tom Duchamp, John McDonald Jr., and Werner Stuetzle




    Mesh optimization



    We present a method for solving the following problem: Given a set
    of data points scattered in three dimensions and an initial triangular
    mesh M0, produce a mesh M, of the same topological type as M0,
    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).


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