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Finding Convex Sets in Convex Position

Combinatorica, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Convex Non-Convex Segmentation over Surfaces

2017
The 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

1985
Over 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, 2013
The 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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Generalized Convexity

SIAM Journal on Mathematical Analysis, 1980
Gudder, S., Schroeck, F.
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Convex Polytopes

Bulletin of the London Mathematical Society, 1969
Grünbaum, Branko, Shephard, Geoffrey C.
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CONVEX OPERATORS

Russian Mathematical Surveys, 1979
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Convexity

2008
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