On the Detection of Dominant Points on Digital Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Journal of Mathematical Imaging and Vision
Piecewise Linear Skeletonization Using Principal Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Introduction to the Theory of Computation
Introduction to the Theory of Computation
Shape Matching and Object Recognition Using Shape Contexts
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Soft k-Segments Algorithm for Principal Curves
ICANN '01 Proceedings of the International Conference on Artificial Neural Networks
Muliscale Vessel Enhancement Filtering
MICCAI '98 Proceedings of the First International Conference on Medical Image Computing and Computer-Assisted Intervention
A new point matching algorithm for non-rigid registration
Computer Vision and Image Understanding - Special issue on nonrigid image registration
Statistical Shape Analysis: Clustering, Learning, and Testing
IEEE Transactions on Pattern Analysis and Machine Intelligence
Optimized polygonal approximation by dominant point deletion
Pattern Recognition
Structure-oriented contour representation and matching for engineering shapes
Computer-Aided Design
Extraction of curvilinear features from noisy point patterns using principal curves
Pattern Recognition Letters
Polygonal approximation of digital planar curves through break point suppression
Pattern Recognition
Polygonal approximation of digital planar curves through adaptive optimizations
Pattern Recognition Letters
A discrete geometry approach for dominant point detection
Pattern Recognition
Similarity preserving principal curve: an optimal 1-D feature extractor for data representation
IEEE Transactions on Neural Networks
Sketch recognition by fusion of temporal and image-based features
Pattern Recognition
A line-based representation for matching words in historical manuscripts
Pattern Recognition Letters
Locally Defined Principal Curves and Surfaces
The Journal of Machine Learning Research
A boundary-fragment-model for object detection
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
Robust contour matching via the order-preserving assignment problem
IEEE Transactions on Image Processing
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Extraction and representation of contours are challenging problems and are crucial for many image processing applications. In this study, given a membership function that returns the score of a point belonging to a contour, we propose a method for contour representation based on the principal curve (PC) of this function. The proposed method provides a piecewise linear representation of the contour with fewer points while preserving shape. Varied experiments are conducted, including lung boundary representation in CT images and shape representation in handwritten images. The results show that the technique provides accurate shape representation.