Parametric subspace modeling of speech transitions
Speech Communication
Learning and Design of Principal Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
A k-segments algorithm for finding principal curves
Pattern Recognition Letters
Adaptive Constraint K-Segment Principal Curves for Intelligent Transportation Systems
IEEE Transactions on Intelligent Transportation Systems
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This paper proposes a new method for finding principal curves from complex distribution dataset. Motivated by solving the problem, which is that existing methods did not perform well on finding principal curve in complex distribution dataset with high curvature, high dispersion and self-intersecting, such as spiral-shaped curves, Firstly, rudimentary principal graph of data set is created based on the thinning algorithm, and then the contiguous vertices are merged. Finally the fitting-and-smoothing step introduced by Kégl is improved to optimize the principal graph, and Kégl's restructuring step is used to rectify imperfections of principal graph. Experimental results indicate the effectiveness of the proposed method on finding principal curves in complex distribution dataset.