Optimum Uniform Piecewise Linear Approximation of Planar Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern Recognition Letters
Optimum polygonal approximation of digitized curves
Pattern Recognition Letters
An algorithm for polygonal approximation based on iterative point elimination
Pattern Recognition Letters
Techniques for Assessing Polygonal Approximations of Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern Recognition Letters
An efficient algorithm for the optimal polygonal approximation of digitized curves
Pattern Recognition Letters
Trajectory Segmentation Using Dynamic Programming
ICPR '02 Proceedings of the 16 th International Conference on Pattern Recognition (ICPR'02) Volume 1 - Volume 1
Detection of Dominant Points Based on Noise Suppression and Error Minimisation
ICITA '05 Proceedings of the Third International Conference on Information Technology and Applications (ICITA'05) Volume 2 - Volume 02
Online Segmentation of Freehand Stroke by Dynamic Programming
ICDAR '05 Proceedings of the Eighth International Conference on Document Analysis and Recognition
Finite Automata Inspired Model for Dominant Point Detection: A Non-Parametric Approach
ICCTA '07 Proceedings of the International Conference on Computing: Theory and Applications
Detecting Hand-Ball Events in Video Sequences
CRV '08 Proceedings of the 2008 Canadian Conference on Computer and Robot Vision
Some experiments in image vectorization
IBM Journal of Research and Development
Dominant point detection: A new proposal
Image and Vision Computing
Data reduction of large vector graphics
Pattern Recognition
Corner detection and curve segmentation by multiresolution chain-code linking
Pattern Recognition
Polygonal approximation of digital planar curves through adaptive optimizations
Pattern Recognition Letters
A new measurement for assessing polygonal approximation of curves
Pattern Recognition
Approximation of a polyline with a sequence of geometric primitives
ICIAR'06 Proceedings of the Third international conference on Image Analysis and Recognition - Volume Part II
Segmentation and multi-model approximation of digital curves
Pattern Recognition Letters
ISE-bounded polygonal approximation of digital curves
Pattern Recognition Letters
Determining the number of clusters with rate-distortion curve modeling
ICIAR'12 Proceedings of the 9th international conference on Image Analysis and Recognition - Volume Part I
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This paper considers the problem of unsupervised segmentation and approximation of digital curves and trajectories with a set of geometrical primitives (model functions). An algorithm is proposed based on a parameterized model of the Rate-Distortion curve. The multiplicative cost function is then derived from the model. By analyzing the minimum of the cost function, a solution is defined that produces the best possible balance between the number of segments and the approximation error. The proposed algorithm was tested for polygonal approximation and multi-model approximation (circular arcs and line segments for digital curves, and polynomials for trajectory). The algorithm demonstrated its efficiency in comparisons with known methods with a heuristic cost function. The proposed method can additionally be used for segmentation and approximation of signals and time series.