On the digital tangent bundle and some extensions
ACC'08 Proceedings of the WSEAS International Conference on Applied Computing Conference
Optimal blurred segments decomposition of noisy shapes in linear time
Computers and Graphics
Approximation of digital circles by regular polygons
ICAPR'05 Proceedings of the Third international conference on Advances in Pattern Recognition - Volume Part I
Topological and geometrical reconstruction of complex objects on irregular isothetic grids
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
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In this paper, we have extended the approach defined in [Segmentation of Discrete Curves into Fuzzy Segments, Segmentation of Discrete Curvesinto Fuzzy Segments, extented version] to a multiorder analysis. The approach is based on the arithmetical definition of discrete lines [Géométrie discrète, calculs en nombre entiers et algorithmique] with variable thickness. We provide a framework to analyse a digital curve at different levels of thickness. The extremities points of a segment provided at a high resolution are tracked at lower resolution in order to refine their locations. The high resolution level is automatically defined from the stability of the number of segments between two consecutive levels. The method is threshold-free and automatically provides a partitioning of a digital curve into its meaningful parts.