Maximal volume enclosed by plates and proof of the chessboard conjecture
Discrete Mathematics
Shape transformation for polyhedral objects
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
3D Symmetry Detection Using The Extended Gaussian Image
IEEE Transactions on Pattern Analysis and Machine Intelligence
Similarity and Symmetry Measures for Convex Shapes Using Minkowski Addition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Minkowski decomposition of convex polygons into their symmetric and asymmetric parts
Pattern Recognition Letters
The Complex EGI: A New Representation for 3-D Pose Determination
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Spherical Representation for Recognition of Free-Form Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Pseudo-Metric for Weighted Point Sets
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part III
A Metric for Distributions with Applications to Image Databases
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Least squares quasi-developable mesh approximation
Computer Aided Geometric Design
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In this paper, some interesting tools to handle convex objects are presented. The approach is based on the representation of convex objects by their extended Gaussian image (EGI). A new approach for 3D convex object metamorphosis is explored. Some measures of similarity based on the EGI representation are also examined.