Bezier and B-spline curves - A study and its application in wavelet decomposition

被引:3
作者
Raja, S. P. [1 ]
机构
[1] Vel Tech Rangarajan Dr Sagunthala R&D Inst Sci &, Dept Comp Sci & Engn, Chennai, Tamil Nadu, India
关键词
Computer graphics; Bezier; B-spline; wavelet decomposition; BLIND WATERMARKING; SCALING FUNCTIONS; TRANSFORM; FILTER; CONVERGENCE; SUBDIVISION;
D O I
10.1142/S0219691320500307
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
The objective of this paper is to give a study on Bezier and B-Spline curves. The paper has divided into three parts. The first studies Bezier curves and their mathematical solutions, while the second describes B-spline curves and their mathematical solutions. Finally, the application of B-spline curves in wavelet decomposition is shown. The PeakSignal-to-Noise Ratio (PSNR) and Structural Similarity Index (SSIM) are considered for evaluation, and it is justified that Bezier and B-spline curves are indispensable in the field of computer graphics.
引用
收藏
页数:38
相关论文
共 50 条
  • [11] Multi-degree B-spline curves
    Institute of Computer Graphics and Image Processing, Zhejiang University, Hangzhou 310027, China
    [J]. Zhejiang Daxue Xuebao (Gongxue Ban), 2009, 5 (789-795): : 789 - 795
  • [12] Multiresolution Analysis of UTAT B-spline Curves
    Lamnii, A.
    Mraoui, H.
    Sbibih, D.
    Zidna, A.
    [J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
  • [13] RECONSTRUCTION OF SYMMETRIC B-SPLINE CURVES AND SURFACES
    ZHU Weidong KE Yinglin College of Mechanical and Energy Engineering
    [J]. Chinese Journal of Mechanical Engineering, 2007, (04) : 112 - 116
  • [14] APPLICATION OF UNIFORM CUBIC B-SPLINE CURVES TO MACHINE-TOOL CONTROL
    ANDRE, P
    HADDAD, MC
    MORLEC, C
    [J]. JOURNAL OF INTELLIGENT & ROBOTIC SYSTEMS, 1991, 4 (04) : 393 - 402
  • [15] WAVELET-BASED FAIRING OF B-SPLINE SURFACES
    孙延奎
    朱心雄
    [J]. Chinese Journal of Aeronautics, 1999, (03) : 50 - 56
  • [16] MULTISCALE B-SPLINE WAVELET FOR EDGE-DETECTION
    WANG, YP
    CAI, YL
    [J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES, 1995, 38 (04): : 499 - 512
  • [17] Exact and approximate computation of B-spline curves on surfaces
    Renner, G
    Weiss, V
    [J]. COMPUTER-AIDED DESIGN, 2004, 36 (04) : 351 - 362
  • [18] A Comparative Study on Cubic Bezier and Beta-Spline Curves
    Hadi, Normi Abdul
    Ibrahim, Arsmah
    Yahya, Fatimah
    Ali, Jamaludin Md
    [J]. MATEMATIKA, 2013, 29 (01) : 55 - 64
  • [19] B-spline based interval field decomposition method
    Hu, Han
    Wu, Yi
    Batou, Anas
    Ouyang, Huajiang
    [J]. COMPUTERS & STRUCTURES, 2022, 272
  • [20] Growing B-spline Model for Efficient Approximation of Complex Curves
    Masood, Asif
    Bukhari, Sundas
    [J]. 15TH INTERNATIONAL CONFERENCE ON INFORMATION VISUALISATION (IV 2011), 2011, : 507 - 512