Constructing B-spline representation of quadratic Sibson-Thomson splines

被引：4

作者：

Lamnii, A. ^{[1
]}

Lamnii, M. ^{[2
]}

Mraoui, H. ^{[3
]}

机构：

[1] Univ Hassan First, Lab MISI, Settat, Morocco

[2] Super Sch Technol, Berrechid, Morocco

[3] Univ Mohammed First, Fac Sci, Oujda, Morocco

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 2015年 / 33卷

关键词：

Sibson-Thomson split; B-spline; Refinement equation; Blossoming; Marsden's identity; Quasi-interpolation; QUASI-INTERPOLANTS; NORMALIZED BASIS; SURFACES;

D O I：

10.1016/j.cagd.2015.02.001

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper, we show how to construct a normalized B-spline basis for a special C-1 continuous splines of degree 2, defined on Sibson-Thomson refinement. The basis functions have a local support, they are nonnegative, and they form a partition of unity. The dilatation equation can be found by applying the dyadic subdivision scheme directly to the Sibson-Thomson spline basis functions. As an application, a quasi-interpolation method, based on this Sibson-Thomson B-spline representation, is described which can be used for the efficient visualization of gridded surface data. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：66 / 81

页数：16

共 50 条

[1] A quadratic trigonometric B-Spline as an alternate to cubic B-spline
Samreen, Shamaila
Sarfraz, Muhammad
Mohamed, Abullah
ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (12) : 11433 - 11443
[2] SPLINES WITH NONNEGATIVE B-SPLINE COEFFICIENTS
BOOR, CD
DANIEL, JW
MATHEMATICS OF COMPUTATION, 1974, 28 (126) : 565 - 568
[3] Constructing B-spline Solid with Integrating Representation of Materials and Mechanical Performance
Long, Chen
Meng, Wang
Gang, Xu
Yusheng, Liu
2015 ADVANCED DESIGN CONCEPTS AND PRACTICE (ADCP 2015), 2016, : 30 - 41
[4] Comparison of quadratic B-spline interpolators
Lim, T.J., 1600, (31):
[5] Quadratic B-spline curve interpolation
Cheng, FH
Wang, XF
Barsky, BA
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 41 (1-2) : 39 - 50
[6] COMPARISON OF QUADRATIC B-SPLINE INTERPOLATORS
LIM, TJ
MACLEOD, MD
ELECTRONICS LETTERS, 1995, 31 (05) : 339 - 341
[7] A new B-spline representation for cubic splines over Powell-Sabin triangulations
Speleers, Hendrik
COMPUTER AIDED GEOMETRIC DESIGN, 2015, 37 : 42 - 56
[8] A B-spline basis for C1 quadratic splines on triangulations with a 10-split
Groselj, Jan
Knez, Marjeta
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 343 : 413 - 427
[9] Constructing fuzzy controllers with B-spline models
Zhang, JW
Knoll, A
FUZZ-IEEE '96 - PROCEEDINGS OF THE FIFTH IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3, 1996, : 416 - 422
[10] B-SPLINE BASES FOR SPLINES UNDER TENSION, V-SPLINES, AND FRACTIONAL ORDER SPLINES
LEWIS, JW
SIAM REVIEW, 1976, 18 (04) : 815 - 815

← 1 2 3 4 5 →