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Digital Convexity, Straightness, and Convex Polygons
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1982New schemes for digitizing regions and arcs are introduced. It is then shown that under these schemes, Sklansky's definition of digital convexity is equivalent to other definitions. Digital convex polygons of n vertices are defined and characterized in terms of geometric properties of digital line segments.
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2010
The history of convexity History of convexity is rather astonishing, even paradoxical, and we explain why. On the one hand, the notion of convexity Convexity is extremely natural, so much so that we find it, for example, in works on artArt and anatomyAnatomy without it being defined.
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The history of convexity History of convexity is rather astonishing, even paradoxical, and we explain why. On the one hand, the notion of convexity Convexity is extremely natural, so much so that we find it, for example, in works on artArt and anatomyAnatomy without it being defined.
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Finding Convex Sets in Convex Position
Combinatorica, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Convex Non-Convex Segmentation over Surfaces
2017The paper addresses the segmentation of real-valued functions having values on a complete, connected, 2-manifold embedded in \({{\mathbb {R}}}^3\). We present a three-stage segmentation algorithm that first computes a piecewise smooth multi-phase partition function, then applies clusterization on its values, and finally tracks the boundary curves to ...
HUSKA, MARTIN +3 more
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Convex Functionals on Convex Sets and Convex Analysis
1985Over the last 20 years, parallel to the theory of monotone operators, a calculus for the investigation of convex functionals designated by convex analysis has emerged, which allows one to solve a number of problems in a simple way. To this calculus belong: (α) The subgradient ∂F (a generalization of the classical concept of derivative).
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Convexity with convex combinations
Antarctica Journal of Mathematics, 2013The paper refers to convexity in the space using the vector algebra supported with the geometrical images. The work relies on the properties of the basic convex sets in the plane and space, polygons and polyhedra. The well-known results are presented by using the convex and affine combinations.
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Bulletin of the London Mathematical Society, 1969
Grünbaum, Branko, Shephard, Geoffrey C.
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Grünbaum, Branko, Shephard, Geoffrey C.
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