Local Shape Representation in 3D: from Weighted Spherical Harmonics to Spherical Wavelet
نویسندگان
چکیده
Numerous techniques have been proposed for shape representation, including landmarks [1], medial representation [2], spherical harmonics (SPHARM) [3], weighted SPHARM [4], and spherical wavelets (SW) [5]. Among them, both weighted SPHARM and SW have been used for local shape representation of biological structures. Questions we address in this paper are what is the relationship between them, how to derive SW from weighted SPHARM, how to formulate the derived SW for local shape representation, and which one is better in terms of performance and efficiency for a typical biological problem.
منابع مشابه
Local Shape Representation in 3D: from Weighted Spherical Harmonics to Spherical Wavelets
Both weighted spherical harmonics (SPHARM) and spherical wavelets (SW) have been used for local shape representation of biological structures. In this paper, we shed light on the underlying connections between weighted SPHARM and SW. A novel derivation of SW from weighted SPHARM and a detailed formulation of wavelet transformation for shape representation are presented. Their performances on lo...
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