Multiresolution analysis of 3D images based on discrete distortion

TitleMultiresolution analysis of 3D images based on discrete distortion
Publication TypeConference Papers
Year of Publication2010
AuthorsWeiss K, De Floriani L, Mesmoudi MM
Conference NameInternational Conference on Pattern Recognition (ICPR)
Date Published2010///

We consider a model of a 3D image obtained bydiscretizing 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.