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SIAMJO
2000
113views more  SIAMJO 2000»
13 years 7 months ago
Cones of Matrices and Successive Convex Relaxations of Nonconvex Sets
Let F be a compact subset of the n-dimensional Euclidean space Rn represented by (finitely or infinitely many) quadratic inequalities. We propose two methods, one based on successi...
Masakazu Kojima, Levent Tunçel
ICRA
2009
IEEE
81views Robotics» more  ICRA 2009»
14 years 2 months ago
Representing sets of orientations as convex cones
— In a wide range of applications the orientation of a rigid body does not need to be restricted to one given orientation, but can be given as a continuous set of frames. We addr...
Pål Johan From, Jan Tommy Gravdahl
TCS
2008
13 years 7 months ago
Reconstruction of convex lattice sets from tomographic projections in quartic time
Filling operations are procedures which are used in Discrete Tomography for the reconstruction of lattice sets having some convexity constraints. Many algorithms have been publish...
Sara Brunetti, Alain Daurat
DGCI
2006
Springer
13 years 9 months ago
Fast Filling Operations Used in the Reconstruction of Convex Lattice Sets
Filling operations are procedures which are used in Discrete Tomography for the reconstruction of lattice sets having some convexity constraints. In [1], an algorithm which perform...
Sara Brunetti, Alain Daurat, Attila Kuba
ORDER
2011
13 years 2 months ago
Order Types of Convex Bodies
We prove a Hadwiger transversal type result, characterizing convex position on a family of non-crossing convex bodies in the plane. This theorem suggests a definition for the ord...
Alfredo Hubard, Luis Montejano, Emiliano Mora, And...