Principles of multivariate analysis: a user's perspective
Principles of multivariate analysis: a user's perspective
Self-organizing maps
Generic Sign Systems in Medical Imaging
IEEE Computer Graphics and Applications
Parametrized SOMs for Hand Posture Reconstruction
IJCNN '00 Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks (IJCNN'00)-Volume 4 - Volume 4
Fitting a surface to one of its sectional planar curves using adaptive trees in spaces of curves
Proceedings of the 7th international conference on Curves and Surfaces
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We first describe two stochastic algorithms which build trees in high dimensional Euclidean spaces with some adaptation to the geometry of a chosen target subset. The second one produces search trees and is used to approximately identify in real time the pose of a polyhedron from its external contour. A search tree is first grown in a space of shapes of plane curves which are a set of precomputed polygonal outlines of the polyhedron. The tree is then used to find in real time a best match to the outline of the polyhedron in the current pose. Analyzing the deformation of the curves along the tree thus built, shows progressive differentiation from a simple convex root shape to the various possible external contours, and the tree organizes the complex set of shapes into a more comprehensible object.