Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Interactive techniques for implicit modeling
I3D '90 Proceedings of the 1990 symposium on Interactive 3D graphics
Boundary extraction of discrete objects
Computer Vision and Image Understanding
Skin: a constructive approach to modeling free-form shapes
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Shape Description By Medial Surface Construction
IEEE Transactions on Visualization and Computer Graphics
Resolution adaptive volume sculpting
Graphical Models - Volume modeling
Interactive Shape Design with Convolution Surfaces
SMI '99 Proceedings of the International Conference on Shape Modeling and Applications
Skeleton extraction of vertex sets lying on arbitrary triangulated 3d meshes
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
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In this paper, we present a method to generate a first approximation surface from a volumic voxel-based skeleton. This approach preserves the topology described by the discrete skeleton in a 3D grid considering the 26-adjacency: if a cycle is sketched, then there is a hole in the resulting surface, and if a closed hull is designed, then the output has a cavity. We verify the same properties for connected components. This surrounding basic polyhedron is computed with simple geometrical rules, and can be a good starting point for 3D shape design from a discrete voxel skeleton. As an example application, we use this rough mesh as the control polyhedron of a subdivision surface in order to model multiresolution objects.