On the Detection of Dominant Points on Digital Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
An Adaptive Reduction Procedure for the Piecewise Linear Approximation of Digitized Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Trinocular Stereo Vision for Robotics
IEEE Transactions on Pattern Analysis and Machine Intelligence
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Polygonal approximations that minimize the number of inflections
SODA '93 Proceedings of the fourth annual ACM-SIAM Symposium on Discrete algorithms
Faster Plots by Fan Data Compression
IEEE Computer Graphics and Applications
Using Simple Decomposition for Smoothing and Feature Point Detection of Noisy Digital Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Nonparametric Segmentation of Curves into Various Representations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Video segmentation based on 2D image analysis
Pattern Recognition Letters - Special issue: Sibgrapi 2001
Stable and Robust Vectorization: How to Make the Right Choices
GREC '99 Selected Papers from the Third International Workshop on Graphics Recognition, Recent Advances
``Seeing'' Objects in Spatial Datasets
IDA '99 Proceedings of the Third International Symposium on Advances in Intelligent Data Analysis
The Envelope of a Digital Curve Based on Dominant Points
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
Approximation of digital curves with line segments and circular arcs using genetic algorithms
Pattern Recognition Letters
Dimensionality reduction of multidimensional temporal data through regression
Pattern Recognition Letters
Information-Theoretic Active Polygons for Unsupervised Texture Segmentation
International Journal of Computer Vision
Using expressive rendering for remote visualization of large city models
Proceedings of the eleventh international conference on 3D web technology
Polygonal approximation of closed discrete curves
Pattern Recognition
A novel approach to polygonal approximation of digital curves
Journal of Visual Communication and Image Representation
Distortion-constrained compression of vector maps
Proceedings of the 2007 ACM symposium on Applied computing
Optimized polygonal approximation by dominant point deletion
Pattern Recognition
Compact representation of contours using directional grid chain code
Image Communication
Dominant point detection by reverse polygonization of digital curves
Image and Vision Computing
Journal of Visual Communication and Image Representation
Fast and quality-guaranteed data streaming in resource-constrained sensor networks
Proceedings of the 9th ACM international symposium on Mobile ad hoc networking and computing
Local invariant feature detectors: a survey
Foundations and Trends® in Computer Graphics and Vision
A Unified Curvature Definition for Regular, Polygonal, and Digital Planar Curves
International Journal of Computer Vision
A Mutation-Particle Swarm Algorithm for Error-Bounded Polygonal Approximation of Digital Curves
ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Theoretical and Methodological Issues
A PSO-Based Method for Min-ε Approximation of Closed Contour Curves
ISNN '08 Proceedings of the 5th international symposium on Neural Networks: Advances in Neural Networks
Journal of Visual Communication and Image Representation
Data reduction of large vector graphics
Pattern Recognition
Polygonal approximation of closed contours
SCIA'03 Proceedings of the 13th Scandinavian conference on Image analysis
Piecewise approximation of contours through scale-space selection of dominant points
IEEE Transactions on Image Processing
Linear regression for dimensionality reduction and classification of multi dimensional data
PReMI'05 Proceedings of the First international conference on Pattern Recognition and Machine Intelligence
Recognition of gesture sequences in real-time flow, context of virtual theater
GW'09 Proceedings of the 8th international conference on Gesture in Embodied Communication and Human-Computer Interaction
Optimal encoding of vector data with polygonal approximation and vertex quantization
SCIA'05 Proceedings of the 14th Scandinavian conference on Image Analysis
A system to support the integrated management of diagnostic medical images
ICIAP'05 Proceedings of the 13th international conference on Image Analysis and Processing
Fast polynomial segmentation of digitized curves
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Segmentation and multi-model approximation of digital curves
Pattern Recognition Letters
ISE-bounded polygonal approximation of digital curves
Pattern Recognition Letters
Piecewise linear approximation of n-dimensional parametric curves using particle swarms
ANTS'12 Proceedings of the 8th international conference on Swarm Intelligence
Hi-index | 0.14 |
Two-dimensional digital curves are often uniformly approximated by polygons or piecewise linear curves. Several algorithms have been proposed in the literature to find such curves. We present an algorithm that finds a piecewise linear curve with the minimal number of segments required to approximate a curve within a uniform error with fixed initial and final points. We compare our optimal algorithm to several suboptimal algorithms with respect to the number of linear segments required in the approximation and the execution time of the algorithm.