Computational geometry: an introduction
Computational geometry: an introduction
On-line construction of the convex hull of a simple polyline
Information Processing Letters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Optimum polygonal approximation of digitized curves
Pattern Recognition Letters
Techniques for Assessing Polygonal Approximations of Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Recursive, O(N) Partitioning of a Digitized Curve into Digital Straight Segments
IEEE Transactions on Pattern Analysis and Machine Intelligence
FOCS '02 Proceedings of the 43rd Symposium on Foundations of Computer Science
Reduced-search dynamic programming for approximation of polygonal curves
Pattern Recognition Letters
Digital straightness: a review
Discrete Applied Mathematics - The 2001 international workshop on combinatorial image analysis (IWCIA 2001)
Fast Polygonal Approximation of Digital Curves
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 1 - Volume 01
An elementary algorithm for digital line recognition in the general case
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
Optimal blurred segments decomposition in linear time
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
On the digital tangent bundle and some extensions
ACC'08 Proceedings of the WSEAS International Conference on Applied Computing Conference
Curvature and Torsion Estimators for 3D Curves
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Comparison of Discrete Curvature Estimators and Application to Corner Detection
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Discrete Contour Extraction from Reference Curvature Function
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing, Part II
Comparison and improvement of tangent estimators on digital curves
Pattern Recognition
Blurred Segments in Gray Level Images for Interactive Line Extraction
IWCIA '09 Proceedings of the 13th International Workshop on Combinatorial Image Analysis
Multi-scale Analysis of Discrete Contours for Unsupervised Noise Detection
IWCIA '09 Proceedings of the 13th International Workshop on Combinatorial Image Analysis
Adaptive Pixel Resizing for Multiscale Recognition and Reconstruction
IWCIA '09 Proceedings of the 13th International Workshop on Combinatorial Image Analysis
Curvature estimation in noisy curves
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
Geometric feature estimators for noisy discrete surfaces
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Robust estimation of curvature along digital contours with global optimization
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Experimental comparison of continuous and discrete tangent estimators along digital curves
IWCIA'08 Proceedings of the 12th international conference on Combinatorial image analysis
Fast and robust dominant points detection on digital curves
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
A discrete geometry approach for dominant point detection
Pattern Recognition
Unsupervised, fast and precise recognition of digital arcs in noisy images
ICCVG'10 Proceedings of the 2010 international conference on Computer vision and graphics: Part I
Circular arc reconstruction of digital contours with chosen Hausdorff error
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Maximal planes and multiscale tangential cover of 3D digital objects
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
Unsupervised polygonal reconstruction of noisy contours by a discrete irregular approach
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
Decomposition of a curve into arcs and line segments based on dominant point detection
SCIA'11 Proceedings of the 17th Scandinavian conference on Image analysis
Arc segmentation in linear time
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I
Ellipse detection through decomposition of circular arcs and line segments
ICIAP'11 Proceedings of the 16th international conference on Image analysis and processing: Part I
Recognition of blurred pieces of discrete planes
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
A combined multi-scale/irregular algorithm for the vectorization of noisy digital contours
Computer Vision and Image Understanding
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
Knot segmentation in noisy 3d images of wood
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
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Blurred segments were introduced by Debled-Rennesson et al. [Segmentation of discrete curves into fuzzy segments. In: 9th IWCIA, Electronic notes in discrete mathematics, vol. 12; 2003; Segmentation of discrete curves into fuzzy segments, extended version. Technical Report, INRIA Report RR-4989, http://www.inria.fr/rrrt/rr-4989.html; 2003] as an extension of the arithmetical approach of Reveilles [Geometrie discrete, calculs en nombres entiers et algorithmique. These d'Etat, Universite Louis Pasteur; 1991] on discrete lines, to take into account noise in digital images. A subclass of blurred discrete segments was introduced in [Debled-Rennesson I, Feschet F, Rouyer J. Optimal blurred segments decomposition in linear time. In: Andres E, Damiand G, Lienhardt P, editors, 12th International conference DGCI. Lecture notes in computer science, vol. 3429. Berlin: Springer; 2005. p. 371-82] with an optimal linear time algorithm for the recognition of blurred segment in this class. This paper extends the previous algorithm to deal with very noisy curves and to propose a decomposition somewhat preserving the intuitive notion of corners.