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» Visualization of the Genus of Knots
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FOCS
1997
IEEE
13 years 9 months ago
The Computational Complexity of Knot and Link Problems
We consider the problem of deciding whether a polygonal knot in 3dimensional Euclidean space is unknotted, capable of being continuously deformed without self-intersection so that...
Joel Hass, J. C. Lagarias, Nicholas Pippenger
JNS
2007
63views more  JNS 2007»
13 years 4 months ago
Finite-Gap Solutions of the Vortex Filament Equation: Isoperiodic Deformations
We study the topology of quasiperiodic solutions of the vortex filament equation in a neighborhood of multiply covered circles. We construct these solutions by means of a sequence...
A. Calini, T. Ivey
VISUALIZATION
2005
IEEE
13 years 10 months ago
Visualizing the tightening of knots
The study of physical models for knots has recently received much interest in the mathematics community. In this paper, we consider the ropelength model, which considers knots tie...
Jason Cantarella, Michael Piatek, Eric Rawdon
ANTS
2010
Springer
246views Algorithms» more  ANTS 2010»
13 years 8 months ago
Visualizing Elements of Sha[3] in Genus 2 Jacobians
Abstract. Mazur proved that any element ξ of order three in the Shafarevich-Tate group of an elliptic curve E over a number field k can be made visible in an abelian surface A in...
Nils Bruin, Sander R. Dahmen
3DPVT
2002
IEEE
153views Visualization» more  3DPVT 2002»
13 years 9 months ago
Surface Reconstruction from Multiple Views using Rational B-Splines and Knot Insertion
A method for reconstruction of 3D rational B-spline surfaces from multiple views is proposed. Given corresponding features in multiple views, though not necessarily visible in all...
Matheen Siddiqui, Stan Sclaroff