Smooth Local Interpolation of Surfaces Using Normal Vectors
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-08-01
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
This paper proposes a simple surface interpolation attaining tangent-plane continuity.
It is a natural extension of the local quadratic C0 interpolator developed by the author (2005) in one of his works, which has already been applied successfully to diverse engineering problems.
The methodology presented in this paper inherits most of the advantages possessed by the C0 scheme.
That is, (i) The algorithm is efficient and completely local requiring only the position vectors and normals given at the nodes of a patch, and hence it is suitable for parallel processing.
(ii) It converges rapidly to the given surface with the increase in the number of nodes.
(iii) Singular points (apexes, sharp edges, etc.) and nonmanifolds can be treated quite easily.
(iv) Because of the minimization criteria assigned to the surface coefficients, it is rather robust and amenable to computational analyses.
Validity and effectiveness of the proposed technique are demonstrated through numerical examples.
American Psychological Association (APA)
Nagata, Takashi. 2010. Smooth Local Interpolation of Surfaces Using Normal Vectors. Journal of Applied Mathematics،Vol. 2010, no. 2010, pp.1-24.
https://search.emarefa.net/detail/BIM-510946
Modern Language Association (MLA)
Nagata, Takashi. Smooth Local Interpolation of Surfaces Using Normal Vectors. Journal of Applied Mathematics No. 2010 (2010), pp.1-24.
https://search.emarefa.net/detail/BIM-510946
American Medical Association (AMA)
Nagata, Takashi. Smooth Local Interpolation of Surfaces Using Normal Vectors. Journal of Applied Mathematics. 2010. Vol. 2010, no. 2010, pp.1-24.
https://search.emarefa.net/detail/BIM-510946
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510946