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2010
IEEE

Multiresolution Analysis of 3D Images Based on Discrete Distortion

10 years 19 days ago
Multiresolution Analysis of 3D Images Based on Discrete Distortion
We consider a model of a 3D image obtained by discretizing it into a multiresolution tetrahedral mesh known as a hierarchy of diamonds. This model enables us to extract crack-free approximations of the 3D image at any uniform or variable resolution, thus reducing the size of the data set without reducing the accuracy. A 3D intensity image is a scalar field (the intensity field) defined at the vertices of a 3D regular grid and thus the graph of the image is a hypersurface in R4 . We measure the discrete distortion, a generalization of the notion of curvature, of the transformation which maps the tetrahedralized 3D grid onto its graph in R4 . We evaluate the use of a hierarchy of diamonds to analyze properties of a 3D image, such as its discrete distortion, directly on lower resolution approximations. Our results indicate that distortion-guided extractions focus the resolution of approximated images on the salient features of the intensity image.
Kenneth Weiss, Mohammed Mostefa Mesmoudi, L. De Fl
Added 23 Jun 2010
Updated 23 Jun 2010
Type Conference
Year 2010
Where ICPR
Authors Kenneth Weiss, Mohammed Mostefa Mesmoudi, L. De Floriani
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