Titlebook: Discrete Geometry for Computer Imagery; 16th IAPR Internatio Isabelle Debled-Rennesson,Eric Domenjoud,Philippe Conference proceedings 2011

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https://doi.org/10.1007/978-3-319-46155-7 in many detection problems (alignments, smooth curves, edges, etc.). The common framework of these detection problems is that they can all be translated into the question of knowing whether a given group of pixels is meaningful or not. This is a joint work with Lionel Moisan and Jean-Michel Morel.

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A Unified Topological Framework for Digital Imagingof its corresponding image in ., thus proving the topological correctness of the proposed approach. From these results, it becomes possible to establish links between topology-oriented methods developed either in classical digital spaces (.) or cubical complexes (.).

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Sparse Object Representations by Digital Distance Functionsd prove that the representations are reversible, when this is the case. The methods are defined for weighted distances based on neighborhood sequences, which includes for example the well known cityblock and chessboard distances.

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