Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
Distance transforms: properties and machine vision applications
CVGIP: Graphical Models and Image Processing
Distance transformation and skeleton for shape feature analysis
IAPR Proceedings of the international workshop on Visual form: analysis and recognition
Regular Article: Computing Fourier Transforms and Convolutions on the 2-Sphere
Advances in Applied Mathematics
Graphical Models and Image Processing
ACM Transactions on Graphics (TOG)
Linear Time Euclidean Distance Algorithms
IEEE Transactions on Pattern Analysis and Machine Intelligence
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
A Linear Bound on the Complexity of the Delaunay Triangulation of Points on Polyhedral Surfaces
Discrete & Computational Geometry
Shape representations and algorithms for three-dimensional model retrieval
Shape representations and algorithms for three-dimensional model retrieval
On visual similarity based 2D drawing retrieval
Computer-Aided Design
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In this paper, we propose a novel descriptor for shapes. The proposed descriptor is obtained from 3D spherical harmonics. The inadequacy of 2D spherical harmonics is addressed and the method to obtain 3D spherical harmonics is described. 3D spherical harmonics requires construction of a 3D model which implicitly represents rich features of objects. Spherical harmonics are used to obtain descriptors from the 3D models. The performance of the proposed method is compared against the CSS approach which is the MPEG-7 descriptor for shape contour. MPEG-7 dataset of shape contours, namely, CE-1 is used to perform the experiments. It is shown that the proposed method is effective.