Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
Interpolating Subdivision for meshes with arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Wavelets for computer graphics: theory and applications
Wavelets for computer graphics: theory and applications
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Estimating the tensor of curvature of a surface from a polyhedral approximation
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Curve and surface smoothing without shrinkage
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
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The present paper deals with the discretization of microstructure initially represented by a digital image obtained from computer tomography or any other similar scanning device. The boundary voxels in the digital representation are identified and then replaced by a boundary triangulation of the similar resolution as the original digital image. This triangulation is then subjected to recursive subdivision to recover a smooth surface of the microstructure which is then retriangulated according to a user specified resolution. Finally, the interior of the microstructure is discretized. The performance of the proposed approach is shown on an example.