Modified Hebbian learning for curve and surface fitting
Neural Networks
Detection of piecewise-linear signals by the randomized Hough transform
Pattern Recognition Letters
Principal component neural networks: theory and applications
Principal component neural networks: theory and applications
Statistical Optimization and Geometric Visual Inference
AFPAC '97 Proceedings of the International Workshop on Algebraic Frames for the Perception-Action Cycle
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The least-squares method efficiently solves the model fitting problems, if we assume model equations. However, to the model fitting for a collection of models, the classification of data is required as preprocessing. We show that the randomized Hough transform achieves both the model fitting by the least-squares method and the classification of sample points by permutation simultaneously. Furthermore, we derive a dynamical system for the line detection by the Hough transform, which achieves grouping of sample points as the permutation of data sequence. The theoretical analysis in this paper verifies the reliability of the Hough-transform based template matching for the detection of shapes from a scene.