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An obstacle-avoiding minimum variation B-spline problem
Luleå tekniska universitet, Institutionen för system- och rymdteknik, Datavetenskap.
Luleå tekniska universitet, Institutionen för teknikvetenskap och matematik, Matematiska vetenskaper.ORCID-id: 0000-0003-3811-062X
2003 (engelsk)Inngår i: Proceedings: 2003 International Conference on Geometric Modeling and Graphics, GMAG 2003 ; 16 - 18 July 2003, London, England, Los Alamitos, Calif: IEEE Communications Society, 2003, s. 156-161Konferansepaper, Publicerat paper (Fagfellevurdert)
Abstract [en]

We study the problem of computing a planar curve, restricted to lie between two given polygonal chains, such that the integral of the square of arc-length derivative of curvature along the curve is minimized. We introduce the minimum variation B-spline problem, which is a linearly constrained optimization problem over curves, defined by B-spline functions only. An empirical investigation indicates that this problem has one unique solution among all uniform quartic B-spline functions. Furthermore, we prove that, for any B-spline function, the convexity properties of the problem are preserved subject to a scaling and translation of the knot sequence defining the B-spline.

sted, utgiver, år, opplag, sider
Los Alamitos, Calif: IEEE Communications Society, 2003. s. 156-161
HSV kategori
Forskningsprogram
Teknisk-vetenskapliga beräkningar; Kommunikations- och beräkningssystem
Identifikatorer
URN: urn:nbn:se:ltu:diva-36963DOI: 10.1109/GMAG.2003.1219681ISI: 000184696400024Scopus ID: 2-s2.0-84943595578Lokal ID: ad094930-c7d5-11db-98d9-000ea68e967bISBN: 0-7695-1985-7 (tryckt)OAI: oai:DiVA.org:ltu-36963DiVA, id: diva2:1010462
Konferanse
International Conference on Geometric Modeling and Graphics : 16/07/2003 - 18/07/2003
Merknad
Godkänd; 2003; 20070301 (evan)Tilgjengelig fra: 2016-10-03 Laget: 2016-10-03 Sist oppdatert: 2018-07-10bibliografisk kontrollert

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Berglund, TomasJonsson, HåkanSöderkvist, Inge

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