Volume Refinement Fairing Isosurfaces
VIS '04 Proceedings of the conference on Visualization '04
VIS '04 Proceedings of the conference on Visualization '04
Lifting curve parameterization methods to isosurfaces
Computer Aided Geometric Design - Special issue: Geometric modeling and processing 2004
Fairing Scalar Fields by Variational Modeling of Contours
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Constraint-based fairing of surface meshes
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Construction of Simplified Boundary Surfaces from Serial-sectioned Metal Micrographs
IEEE Transactions on Visualization and Computer Graphics
Spherical parameterization of marching cubes IsoSurfaces based upon nearest neighbor coordinates
Journal of Computer Science and Technology
Parameterizing marching cubes isosurfaces with natural neighbor coordinates
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Non-manifold mesh extraction from time-varying segmented volumes used for modeling a human heart
EUROVIS'05 Proceedings of the Seventh Joint Eurographics / IEEE VGTC conference on Visualization
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We describe new techniques for computing a smooth triangular mesh surface that surrounds an enumerated volume consisting of a collection of points from a 3D rectilinear grid. The surface has the topology of an isosurface computed by a marching cubes method applied to a field function that has the value one at the points in the volume and zero for points not in the volume. The vertices are confined to the edges of the grid that penetrate this separating surface and the precise positions are computed so as to optimize a certain energy functional applied to the surface. We use efficient iterative methods to compute the optimal separating surfaces. We lift the concept of energy functionals for planar curves to isosurfaces by means of the 4*-network which is a unique collection of orthogonal planar polygons lying on the isosurface. The general strategy that we describe here leads to methods that are simple, efficient, and effective.