Affiliation:
1. Department of Applied Mathematics Tomsk State University of Architecture and Building 2 Solyanaya, Tomsk, 634003 RUSSIA
Abstract
The article investigates an implicit method of decomposition of the 7th degree non-Hermitian splines into a series of wavelets with two zero moments. The system of linear algebraic equations connecting the coefficients of the spline expansion on the initial scale with the spline coefficients and wavelet coefficients on the embedded scale is obtained. The even-odd splitting of the wavelet decomposition algorithm into a solution of the half-size five-diagonal system of linear equations and some local averaging formulas are substantiated. The results of numerical experiments on accuracy on polynomials and compression of spline-wavelet decomposition are presented.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
Subject
Computer Networks and Communications,Computer Vision and Pattern Recognition,Signal Processing,Software
Reference27 articles.
1. W. Boehler, A. Marbs, 3D Scanning Instruments, Proc. of the CIPA WG6 Int. 2002. Workshop on scanning for cultural heritage recording. http://www.isprs.org/commission5/workshop/
2. H. C. Yun, M. G. Kim, J. S. Lee, Applicability Estimation of Mobile Mapping System for Road Management, Contemporary Engineering Sciences, Vol.7, 2014, pp. 1407-1414.
3. B.M. Shumilov, A.N. Baigulov, A study on modeling of road pavements based on laser scanned data and a novel type of approximating hermite wavelets, WSEAS Transactions on Signal Processing. Vol.11, 2015, pp. 150-156.
4. C. De Boor, A Practical Guide to Splines, Applied Mathematical Sciences, Vol.27, Springer-Verlag, New York, 1978.
5. J. D. Boissonnat, O. Devillers, M. Teillaud, M. Yvinec, Triangulations in CGAL, Proc. 16th Annu. ACM Sympos. Comput. Geom., 2000, pp. 11-18.
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献