Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Guaranteeing the topology of an implicit surface polygonization for interactive modeling
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Re: additional reference to "marching cubes"
ACM SIGGRAPH Computer Graphics
Feature sensitive surface extraction from volume data
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Dual contouring of hermite data
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
The asymptotic decider: resolving the ambiguity in marching cubes
VIS '91 Proceedings of the 2nd conference on Visualization '91
Isotopic implicit surface meshing
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
Topology preserving surface extraction using adaptive subdivision
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
IEEE Transactions on Visualization and Computer Graphics
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We study the topology inconsistency between the interested object boundary and the isosurface extracted with Marching Cubes, and present a new method preserving the topology of object boundary. Different from the MC-like algorithms, the new method is not restricted to the Marching Cubes' partition on the grid vertexes: inner or outer vertexes. We find that a pixel curved out by Marching Cubes algorithm maybe include a part of the interested object and it is even a key part for preserving the boundary topology. So the boundary pixel is defined as a pixel that includes the object boundary and it's pixel value is between those of the inner and outer pixel. This paper shows how to find the boundary pixels and the boundary position in it. Thus we can find the object boundary in a pixel whose value is out of the isovalue, which is regarded as background by Marching Cubes algorithm. Experiments based on CT data also verify the effect of the new method.