Introduction to graph theory
Vector quantization and signal compression
Vector quantization and signal compression
GTM: the generative topographic mapping
Neural Computation
Learning and Design of Principal Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern Recognition and Neural Networks
Pattern Recognition and Neural Networks
Self-Organizing Maps
Think globally, fit locally: unsupervised learning of low dimensional manifolds
The Journal of Machine Learning Research
A robust algorithm for image principal curve detection
Pattern Recognition Letters
Automatic parameter selection for a k-segments algorithm for computing principal curves
Pattern Recognition Letters
A strategy for feature extraction of high dimensional noisy data
MIC'06 Proceedings of the 25th IASTED international conference on Modeling, indentification, and control
A curve tracing algorithm using level set based affine transform
Pattern Recognition Letters
Extraction of curvilinear features from noisy point patterns using principal curves
Pattern Recognition Letters
Efficient locally linear embeddings of imperfect manifolds
MLDM'03 Proceedings of the 3rd international conference on Machine learning and data mining in pattern recognition
Applications of a simple characterization of human gait in surveillance
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on gait analysis
An effective principal curves extraction algorithm for complex distribution dataset
RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
Locally Defined Principal Curves and Surfaces
The Journal of Machine Learning Research
Skeletonization of low-quality characters based on point cloud model
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part IV
Clustering based on principal curve
SCIA'05 Proceedings of the 14th Scandinavian conference on Image Analysis
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We propose an incremental method to find principal curves. Line segments are fitted and connected to form polygonal lines (PLs). New segments are inserted until a performance criterion is met. Experimental results illustrate the performance of the method compared to other existing approaches.