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Dual Marching Cubes: Primal Contouring of Dual Grids
Authors:Scott Schaefer  Joe Warren
Affiliation:Rice University, 6100 Main St., Houston, TX 77005, U.S.A. ,
Abstract:We present a method for contouring an implicit function using a grid topologically dual to structured grids such as octrees. By aligning the vertices of the dual grid with the features of the implicit function, we are able to reproduce thin features of the extracted surface without excessive subdivision required by methods such as Marching Cubes or Dual Contouring. Dual Marching Cubes produces a crack‐free, adaptive polygonalization of the surface that reproduces sharp features. Our approach maintains the advantage of using structured grids for operations such as CSG while being able to conform to the relevant features of the implicit function yielding much sparser polygonalizations than has been possible using structured grids.
Keywords:implicit functions  contouring  marching cubes  octree  CSG  QEF  I  3  5 Computer Graphics: Curve  surface  solid  and object representations
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