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ISAAC
2003
Springer
96views Algorithms» more  ISAAC 2003»
15 years 9 months ago
On the Geometric Dilation of Finite Point Sets
Let G be an embedded planar graph whose edges may be curves. For two arbitrary points of G, we can compare the length of the shortest path in G connecting them against their Euclid...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...
DLT
2008
15 years 5 months ago
The Average State Complexity of the Star of a Finite Set of Words Is Linear
We prove that, for the uniform distribution over all sets X of m (that is a fixed integer) non-empty words whose sum of lengths is n, DX , one of the usual deterministic automata r...
Frédérique Bassino, Laura Giambruno,...
DM
2011
238views Education» more  DM 2011»
14 years 11 months ago
A combinatorial approach to height sequences in finite partially ordered sets
Fix an element x of a finite partially ordered set P on n elements. Then let hi(x) be the number of linear extensions of P in which x is in position i, counting from the bottom. T...
Csaba Biró, William T. Trotter
DAGM
2007
Springer
15 years 10 months ago
Curvature Guided Level Set Registration Using Adaptive Finite Elements
Abstract. We consider the problem of non-rigid, point-to-point registration of two 3D surfaces. To avoid restrictions on the topology, we represent the surfaces as a level-set of t...
Andreas Dedner, Marcel Lüthi, Thomas Albrecht...