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DCG
2002
62views more  DCG 2002»
13 years 7 months ago
Degrees of Real Wronski Maps
We study the map which sends vectors of polynomials into their Wronski determinants. This defines a projection map of a Grassmann variety which we call a Wronski map. Our main res...
A. Eremenko, Andrei Gabrielov
JSC
2011
110views more  JSC 2011»
13 years 2 months ago
Computing symmetric rank for symmetric tensors
We consider the problem of determining the symmetric tensor rank for symmetric tensors with an algebraic geometry approach. We give algorithms for computing the symmetric rank for...
Alessandra Bernardi, Alessandro Gimigliano, Monica...
SMA
2009
ACM
166views Solid Modeling» more  SMA 2009»
14 years 2 months ago
A geometric criterion for smooth interpolation of curve networks
A key problem when interpolating a network of curves occurs at vertices: an algebraic condition called the vertex enclosure constraint must hold wherever an even number of curves ...
T. Hermann, J. Peters, T. Strotman
ESA
2004
Springer
139views Algorithms» more  ESA 2004»
14 years 28 days ago
Comparing Real Algebraic Numbers of Small Degree
We study polynomials of degree up to 4 over the rationals or a computable real subfield. Our motivation comes from the need to evaluate predicates in nonlinear computational geome...
Ioannis Z. Emiris, Elias P. Tsigaridas
SAC
2009
ACM
14 years 2 months ago
Origami fold as algebraic graph rewriting
We formalize paper fold (origami) by graph rewriting. Origami construction is abstractly described by a rewriting sys), where O is the set of abstract origami’s and ary relation...
Tetsuo Ida, Hidekazu Takahashi