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Titlebook: Combinatorial Image Analysis; 13th International W Petra Wiederhold,Reneta P. Barneva Conference proceedings 2009 Springer-Verlag Berlin He

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Hierarchical Discrete Medial Axis for Sphere-Tree Constructionierarchical Discrete Medial Axis, based on a pyramidal representation of the object, in order to efficiently create a sphere-tree, which has many applications in collision detection or image synthesis.
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Quasi-Affine Transformation in 3-D: Theory and Algorithms In this article, we present a theoretical analysis of affine transformations in dimension 3. More precisely, we investigate the arithmetical paving induced by the transformation to design fast algorithms.
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Farey Sequences and the Planar Euclidean Medial Axis Test Mask not exceed .. We establish a link between .(r) and the well-known Farey sequences, which allows us to propose two new algorithms. The first one computes .(r) in time . and space .. The second one computes for any vector . the smallest . for which .(r), in time . and constant space.
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Hinge Angles for 3D Discrete Rotationsf-grid and the rotation plane. From this intersection, we define 3D hinge angles which determine a transit of a grid point from a voxel to its adjacent voxel during the rotation. Then, we give a method to sort all 3D hinge angles with integer computations. The study of 3D hinge angles allows us to design a 3D discrete rotation.
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Surface Thinning in 3D Cubical Complexesprovide a thin result. Then, we propose two variants of a surface-preserving thinning scheme, based on this parallel directional thinning algorithm. Finally, we propose a methodology to produce filtered surface skeletons, based on the above thinning methods and the recently introduced discrete .-medial axis.
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An Order–Independent Sequential Thinning Algorithmtual one if it is not designated a skeletal point. They may produce various skeletons for different visiting orders. In this paper, we present a new 2-dimensional sequential thinning algorithm, which produces the same result for arbitrary visiting orders and it is capable of extracting maximally thinned skeletons.
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https://doi.org/10.1007/978-3-031-31531-2 are related with many theoretical challenges in the digital space and have diverse applications in image processing, pattern recognition, and computer graphics. These digital-geometric properties are helpful in today’s context of digital revolution to eliminate the inherent discrepancies and limita
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https://doi.org/10.1007/978-3-031-31531-2lar arcs. Two of the bounds are tight bounds—in terms of arc length and in terms of the width of the region and the radii of the circles, respectively. Moreover, an upper bound is given in terms of a new notion of “set oblongness.” The results complement the well-known .(..) bound [2] which applies
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