m-HDAF multiresolution deformable models

I.A. Kakadiaris1, M. Papadakis2, L. Shen1, D. Kouri3, D. Hoffman4
1Department of Computer Science, University of Houston, Houston, TX, USA
2Department of Mathematics, University of Houston, Houston, TX
3Department of Chemistry, University of Houston, Houston, TX, USA
4Department of Chemistry and Ames Laboratory, Iowa State University, Ames, IS, USA

Tóm tắt

In this paper, we construct a new class of deformable models using new orthogonal wavelets, named modified Hermite distributed approximating functional (m-HDAF) wavelets. The scaling functions of this new family are symmetric and the corresponding wavelets optimize their smoothness for a given number of vanishing moments. In addition, we embed these multiresolution deformable models to the physics-based deformable model framework and use them for fitting 2D and 3D data. We have performed a number of experiments with both synthetic and real data with very encouraging results.

Từ khóa

#Deformable models #Shape #Filters #Chemistry #Fitting #Computer science #Mathematics #Physics #Laboratories #Solid modeling

Tài liệu tham khảo

10.1109/TPAMI.2002.1039203 10.1109/34.216727 quevedo, 1999, A new class of approximating wavelets, Proceedings of the 21st Annual International Conference of the Engineering in Medicine and Biology Society 10.1109/34.85659 unser, 2000, Fractional splines and wavelets, SIAM Review, 42, 43, 10.1137/S0036144598349435 10.1145/176579.176583 wei, 2002, On the mathematical properties of distributed approximating functionals, Journal of Mathematical Chemistry 10.1021/j100121a021 10.1137/1.9781611970104 10.1016/S0009-2614(98)00130-4 hoffman, 1991, On an analytic banded approximation for the discretized free propagator, Journal of Physical Chemistry, 95, 10.1021/j100174a052 mallat, 1989, Multiresolution approximations and wavelet orthonormal bases of L2(R), Trans Amer Math Soc, 315, 69 10.1109/ICDSP.2002.1028138 10.1145/964965.808573 10.1109/MCG.1981.1673799 10.1109/34.192463