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JCDCG
2000
Springer
13 years 11 months ago
Sequentially Divisible Dissections of Simple Polygons
A k-dissection D of a polygon P, is a partition of P into a set of subpolygons {Q1, . . . , Qm} with disjoint interiors such that these can be reassembled to form k polygons P1, ....
Jin Akiyama, Toshinori Sakai, Jorge Urrutia
COCOON
2006
Springer
13 years 11 months ago
A PTAS for Cutting Out Polygons with Lines
We present a simple O(m+n6 / 12 ) time (1+ )-approximation algorithm for the problem of cutting a convex n-gon out of a convex m-gon with line cuts of minimum total cutting length....
Sergey Bereg, Ovidiu Daescu, Minghui Jiang
ISCAS
1993
IEEE
71views Hardware» more  ISCAS 1993»
13 years 11 months ago
Geometric characterization of series-parallel variable resistor networks
Abstract—The range of operating conditions for a seriesparallelnetworkofvariablelinearresistors, voltagesources, and current sources can be represented as a convex polygon in a T...
Randal E. Bryant, J. D. Tygar, Lawrence P. Huang
ISAAC
2009
Springer
168views Algorithms» more  ISAAC 2009»
14 years 2 months ago
On the Camera Placement Problem
We introduce a new probing problem: what is the minimum number of cameras at fixed positions necessary and sufficient to reconstruct any strictly convex polygon contained in a dis...
Rudolf Fleischer, Yihui Wang
FOCS
2009
IEEE
14 years 2 months ago
Decomposing Coverings and the Planar Sensor Cover Problem
We show that a k-fold covering using translates of an arbitrary convex polygon can be decomposed into Omega(k) covers (using an efficient algorithm). We generalize this result to ...
Matt Gibson, Kasturi R. Varadarajan