Inverse-Problem-Based Accuracy Control for Arbitrary-Resolution Fairing of Quasiuniform Cubic B-Spline Curves
Joint Authors
He, Xueming
Yang, Yan
Ji, Xiaogang
Xue, Jie
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-14
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In the process of curves and surfaces fairing with multiresolution analysis, fairing accuracy will be determined by final fairing scale.
On the basis of Dyadic wavelet fairing algorithm (DWFA), arbitrary resolution wavelet fairing algorithm (ARWFA), and corresponding software, accuracy control of multiresolution fairing was studied for the uncertainty of fairing scale.
Firstly, using the idea of inverse problem for reference, linear hypothesis was adopted to predict the corresponding wavelet scale for any given fairing error.
Although linear hypothesis has error, it can be eliminated by multiple iterations.
So faired curves can be determined by a minimum number of control vertexes and have the best faring effect under the requirement of accuracy.
Secondly, in consideration of efficiency loss caused by iterative algorithm, inverse calculation of fairing scale was presented based on the least squares fitting.
With the increase of order of curves, inverse calculation accuracy becomes higher and higher.
Verification results show that inverse calculation scale can meet the accuracy requirement when fitting curve is sextic.
In the whole fairing process, because there is no approximation algorithm such as interpolation and approximation, faired curves can be reconstructed again exactly.
This algorithm meets the idea and essence of wavelet analysis well.
American Psychological Association (APA)
Ji, Xiaogang& Xue, Jie& Yang, Yan& He, Xueming. 2014. Inverse-Problem-Based Accuracy Control for Arbitrary-Resolution Fairing of Quasiuniform Cubic B-Spline Curves. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-507455
Modern Language Association (MLA)
Ji, Xiaogang…[et al.]. Inverse-Problem-Based Accuracy Control for Arbitrary-Resolution Fairing of Quasiuniform Cubic B-Spline Curves. Mathematical Problems in Engineering No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-507455
American Medical Association (AMA)
Ji, Xiaogang& Xue, Jie& Yang, Yan& He, Xueming. Inverse-Problem-Based Accuracy Control for Arbitrary-Resolution Fairing of Quasiuniform Cubic B-Spline Curves. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-507455
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507455