Dual Marching Cubes: Primal Contouring of Dual Grids

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Date
2005
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Volume Title
Publisher
The Eurographics Association and Blackwell Publishing Ltd.
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.
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@article{
10.1111:j.1467-8659.2005.00843.x
, journal = {Computer Graphics Forum}, title = {{
Dual Marching Cubes: Primal Contouring of Dual Grids
}}, author = {
Schaefer, Scott
 and
Warren, Joe
}, year = {
2005
}, publisher = {
The Eurographics Association and Blackwell Publishing Ltd.
}, ISSN = {
1467-8659
}, DOI = {
10.1111/j.1467-8659.2005.00843.x
} }
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