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JCDCG
2000
Springer
13 years 8 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 8 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 8 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»
13 years 11 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
13 years 11 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