The continuous non-linear approximation of procedurally defined curves using integral B-splines
dc.contributor.author | Qu, Jun | en_US |
dc.contributor.author | Sarma, Radha | en_US |
dc.date.accessioned | 2006-09-11T17:08:51Z | |
dc.date.available | 2006-09-11T17:08:51Z | |
dc.date.issued | 2004-03 | en_US |
dc.identifier.citation | Qu, Jun; Sarma, Radha; (2004). "The continuous non-linear approximation of procedurally defined curves using integral B-splines." Engineering with Computers 20(1): 22-30. <http://hdl.handle.net/2027.42/45914> | en_US |
dc.identifier.issn | 0177-0667 | en_US |
dc.identifier.issn | 1435-5663 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/45914 | |
dc.description.abstract | This paper outlines an algorithm for the continuous non-linear approximation of procedurally defined curves. Unlike conventional approximation methods using the discrete L_2 form metric with sampling points, this algorithm uses the continuous L_2 form metric based on minimizing the integral of the least square error metric between the original and approximate curves. Expressions for the optimality criteria are derived based on exact B-spline integration. Although numerical integration may be necessary for some complicated curves, the use of numerical integration is minimized by a priori explicit evaluations. Plane or space curves with high curvatures and/or discontinuities can also be handled by means of an adaptive knot placement strategy. It has been found that the proposed scheme is more efficient and accurate compared to currently existing interpolation and approximation methods. | en_US |
dc.format.extent | 422089 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag; Springer-Verlag London Limited | en_US |
dc.subject.other | Approximation | en_US |
dc.subject.other | Interpolation | en_US |
dc.subject.other | CAD | en_US |
dc.subject.other | Engineering | en_US |
dc.subject.other | B-spline | en_US |
dc.subject.other | Continuous | en_US |
dc.subject.other | Reparametrization | en_US |
dc.title | The continuous non-linear approximation of procedurally defined curves using integral B-splines | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Computer Science | en_US |
dc.subject.hlbtoplevel | Engineering | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109, USA | en_US |
dc.contributor.affiliationother | Metals and Ceramics Division, Oak Ridge National Laboratory, P.O. Box 2008, MS 6063 Oak Ridge, TN 37831-6063, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/45914/1/366_2004_Article_275.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/s00366-004-0275-5 | en_US |
dc.identifier.source | Engineering with Computers | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.