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» Axiomatizing geometric constructions
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AAECC
2004
Springer
83views Algorithms» more  AAECC 2004»
15 years 4 months ago
Bounding the Trellis State Complexity of Algebraic Geometric Codes
Abstract. Let C be an algebraic geometric code of dimension k and length n constructed on a curve X over Fq. Let s(C) be the state complexity of C and set w(C) := min{k, n-k}, the ...
Carlos Munuera, Fernando Torres
168
Voted
ICPR
2004
IEEE
16 years 6 months ago
Coordinate Systems Reconstruction for Graphical Documents by Hough-feature Clustering and Geometric Analysis
Two-dimensional and three-dimensional coordinate systems are the basic graphics symbols in many graphical documents. A robust coordinate system detection scheme is needed in order...
Chew Lim Tan, Yan Ping Zhou
120
Voted
FUN
2007
Springer
78views Algorithms» more  FUN 2007»
15 years 11 months ago
Wooden Geometric Puzzles: Design and Hardness Proofs
We discuss some new geometric puzzles and the complexity of their extension to arbitrary sizes. For gate puzzles and two-layer puzzles we prove NP-completeness of solving them. No...
Helmut Alt, Hans L. Bodlaender, Marc J. van Krevel...
165
Voted
STACS
2007
Springer
15 years 11 months ago
Light Orthogonal Networks with Constant Geometric Dilation
An orthogonal spanner network for a given set of n points in the plane is a plane straight line graph with axis-aligned edges that connects all input points. We show that for any ...
Adrian Dumitrescu, Csaba D. Tóth
142
Voted
ESA
2005
Springer
89views Algorithms» more  ESA 2005»
15 years 10 months ago
Experimental Study of Geometric t-Spanners
Abstract. The construction of t-spanners of a given point set has received a lot of attention, especially from a theoretical perspective. In this paper we perform the first extens...
Mohammad Farshi, Joachim Gudmundsson