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» On the variance of random polygons
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SIAMREV
2010
114views more  SIAMREV 2010»
14 years 4 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
CORR
2007
Springer
87views Education» more  CORR 2007»
14 years 9 months ago
Detection of Gauss-Markov Random Fields with Nearest-Neighbor Dependency
Abstract—The problem of hypothesis testing against independence for a Gauss–Markov random field (GMRF) is analyzed. Assuming an acyclic dependency graph, an expression for the...
Animashree Anandkumar, Lang Tong, Ananthram Swami
69
Voted
ESA
2008
Springer
92views Algorithms» more  ESA 2008»
14 years 11 months ago
How Reliable Are Practical Point-in-Polygon Strategies?
We experimentally study the reliability of geometric software for point location in simple polygons. As expected, the code we tested works very well for random query points. Howeve...
Stefan Schirra
ISAAC
2007
Springer
93views Algorithms» more  ISAAC 2007»
15 years 3 months ago
Dilation-Optimal Edge Deletion in Polygonal Cycles
Abstract. Let C be a polygonal cycle on n vertices in the plane. A randomized algorithm is presented which computes in O(n log3 n) expected time, the edge of C whose removal result...
Hee-Kap Ahn, Mohammad Farshi, Christian Knauer, Mi...
ICIP
2001
IEEE
15 years 11 months ago
Coding theoretic approach to image segmentation
This paper introduces multi-scale tree-based approaches to image segmentation, using Rissanen's coding theoretic minimum description length (MDL) principle to penalize overly...
Mário A. T. Figueiredo, Robert D. Nowak, Un...