Shortest path in a multiply-connected domain having curved ...
Shortest path in a multiply-connected domain having curved ...
Shortest path in a multiply-connected domain having curved ...
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[9] Gershon Elber and Myung-Soo Kim. Geometric constra<strong>in</strong>t solver us<strong>in</strong>g multivariate<br />
rational spl<strong>in</strong>e functions. In Proceed<strong>in</strong>gs of the sixth ACM symposium on Solid model<strong>in</strong>g<br />
and applications, SMA ’01, pages 1–10, New York, NY, USA, 2001. ACM.<br />
[10] P Fabel. ”shortest” arcs <strong>in</strong> closed planar disks vary cont<strong>in</strong>uously with the boundary.<br />
Topology and its Applications, 95:75–83(9), 23 June 1999.<br />
[11] D. T. Lee and F. P. Preparata. Euclidean shortest <strong>path</strong>s <strong>in</strong> the presence of rectil<strong>in</strong>ear<br />
barriers. Networks, 14(3):393–410, 1984.<br />
[12] Haib<strong>in</strong> L<strong>in</strong>g and David W. Jacobs. Shape classification us<strong>in</strong>g the <strong>in</strong>ner-distance. IEEE<br />
Trans. Pattern Anal. Mach. Intell., 29(2):286–299, 2007.<br />
[13] Elefterios A. Melissaratos and Diane L. Souva<strong>in</strong>e. <strong>Shortest</strong> <strong>path</strong>s help solve geometric<br />
optimization problems <strong>in</strong> planar regions. SIAM J. Comput., 21(4):601–638, 1992.<br />
[14] Joseph S. B. Mitchell. <strong>Shortest</strong> <strong>path</strong>s among obstacles <strong>in</strong> the plane. In Proceed<strong>in</strong>gs of<br />
the n<strong>in</strong>th annual symposium on Computational geometry, SCG ’93, pages 308–317, New<br />
York, NY, USA, 1993. ACM.<br />
[15] Les Piegl and Wayne Tiller. The NURBS book (2nd ed.). Spr<strong>in</strong>ger-Verlag New York,<br />
Inc., New York, NY, USA, 1997.<br />
[16] Michel Pocchiola and Gert Vegter. Comput<strong>in</strong>g the visibility graph via pseudotriangulations.<br />
In Proceed<strong>in</strong>gs of the eleventh annual symposium on Computational geometry,<br />
SCG ’95, pages 248–257, New York, NY, USA, 1995. ACM.<br />
[17] H Pottmann, M Hofer, T Ste<strong>in</strong>er, and W Wang. Industrial geometry: recent advances<br />
and applications <strong>in</strong> cad. Computer-Aided Design, 37(7):751–766, 2005.<br />
[18] S. Bharath Ram and M. Ramanathan. The shortest <strong>path</strong> <strong>in</strong> a simply-<strong>connected</strong> doma<strong>in</strong><br />
hav<strong>in</strong>g a <strong>curved</strong> boundary. Computer-Aided Design, 43(8):923–933, 2011.<br />
[19] James A. Storer and John H. Reif. <strong>Shortest</strong> <strong>path</strong>s <strong>in</strong> the plane with polygonal obstacles.<br />
J. ACM, 41:982–1012, September 1994.<br />
[20] Yen-hsi Richard Tsai. Rapid and accurate computation of the distance function us<strong>in</strong>g<br />
grids. J. Comput. Phys., 178(1):175–195, May 2002.<br />
[21] Franz-Erich Wolter. Cut loci <strong>in</strong> bordered and unbordered Riemannian manifolds. PhD<br />
thesis, Technical University of Berl<strong>in</strong>, Department of Mathematics, Germany, December<br />
1985.<br />
[22] H. Zhao. A fast sweep<strong>in</strong>g method for eikonal equations. Mathematics of Computation,<br />
74:603–627, 2005.<br />
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