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» A Method for Classification of Convex Polygons
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SIAMREV
2010
114views more  SIAMREV 2010»
13 years 2 months ago
From Random Polygon to Ellipse: An Eigenanalysis
Suppose x and y are unit 2-norm n-vectors whose components sum to zero. Let P(x, y) be the polygon obtained by connecting (x1, y1), . . . , (xn, yn), (x1, y1) in order. We say that...
Adam N. Elmachtoub, Charles F. Van Loan
CGF
2008
126views more  CGF 2008»
13 years 7 months ago
Maximum Entropy Coordinates for Arbitrary Polytopes
Barycentric coordinates can be used to express any point inside a triangle as a unique convex combination of the triangle's vertices, and they provide a convenient way to lin...
K. Hormann, N. Sukumar
JMIV
2008
94views more  JMIV 2008»
13 years 7 months ago
Measuring Elongation from Shape Boundary
Abstract Shape elongation is one of the basic shape descriptors that has a very clear intuitive meaning. That is the reason for its applicability in many shape classification tasks...
Milos Stojmenovic, Jovisa D. Zunic
SIAMJO
2010
130views more  SIAMJO 2010»
13 years 2 months ago
A Randomized Cutting Plane Method with Probabilistic Geometric Convergence
Abstract. We propose a randomized method for general convex optimization problems; namely, the minimization of a linear function over a convex body. The idea is to generate N rando...
Fabrizio Dabbene, P. S. Shcherbakov, Boris T. Poly...
DCG
2006
163views more  DCG 2006»
13 years 7 months ago
Isometry-Invariant Valuations on Hyperbolic Space
Abstract. Hyperbolic area is characterized as the unique continuous isometry invariant simple valuation on convex polygons in H2 . We then show that continuous isometry invariant s...
Daniel A. Klain