Robert G. Scharein. Interactive Topological Drawing. PhD thesis, Department of Computer Science, The University of British Columbia, 1998. Home/Search Document Not in Database Summary Related Articles Check |
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Motion Planning for Knot Untangling - Ladd, Kavraki (2002) (2 citations) (Correct)
....a non minimizing Reidermeister move must be made, that is to say a crossing must be added before others can be removed. 2.2 Energy Functions Knot energy was originally defined as way of arriving at ideal knot config urations. A good survey of this area can be found in Scharein s thesis [34]. There are several different varieties of energy functions in the literature. Many of the early equations were for the case where the function was a smooth curve and hence the energy was infinite for piecewise linear knots. For further details on energy for smooth curves refer to [9] Due to the ....
....knots. For further details on energy for smooth curves refer to [9] Due to the com putational nature of our work, we restrict ourselves to energy defined over piecewise linear knots and give only two important examples from the liter ature. Other examples of energy functions can be found in [30,11,13,34] and include geometric energy, MSbius energy, spring energy, electrostatic energy and others. Minimum Distance Energy Minimum distance (MD) energy is an approximation of distance integral over all pairs of points. The approximation is for the case of a piecewise linear knot and uses the minimum ....
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R. Scharein. Interactive Topological Drawing. PhD thesis, University of British Columbia, 1988.
The Simplest Hyperbolic Knots - Callahan, DEAN, WEEKS (Correct)
....on the unknotted component of the (2; 3; 4) pretzel link. From this surgery description we found an explicit picture of the corresponding knots. THE SIMPLEST HYPERBOLIC KNOTS 7 Finally, Rob Scharein used his program Knot Plot to produce the marvelous knot illustrations in this paper (see [Sch98] We provided him with braid or Dowker descriptions of the 72 knots in the knot census, and he produced the illustrations. Some of the braid descriptions had a great deal of simpli cation possible. His program achieved this simpli cation to a great extent. 6. Results, Tables, and Examples ....
Robert G. Scharein, Interactive topological drawing, Ph.D. thesis, The University of British Columbia, 1998, see also www.cs.ubc.ca/nest/imager/contributions/ scharein/KnotPlot.html.
Computer Modelling Of Fallen Snow - Paul Fearing University (2000) (Correct)
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Robert G. Scharein. Interactive Topological Drawing. PhD thesis, Department of Computer Science, The University of British Columbia, 1998.
CInDeR: Collision and Interference Detection in Real-time using .. - Knott, Pai (2003) (5 citations) (Correct)
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R. G. Scharein. Interactive Topological Drawing. PhD thesis, University of British Columbia, 1998.
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