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

Author:

Raja S. P.1

Affiliation:

1. Department of Computer Science and Engineering, Vel Tech Rangarajan Dr. Sagunthala R&D Institute, of Science and Technology, Avadi, Chennai, Tamilnadu, India

Abstract

The objective of this paper is to give a study on Bézier and B-Spline curves. The paper has divided into three parts. The first studies Bézier 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 Bézier and B-spline curves are indispensable in the field of computer graphics.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

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

1. De Boor Algorithm Based NURBS Subdivision in Terms of Arc Length;Proceedings of the 2023 8th International Conference on Intelligent Information Technology;2023-02-24

2. Riesz and Tight Wavelet Frame Sets in Locally Compact Abelian Groups;KYUNGPOOK MATH J;2021

3. One novel class of Bézier smooth semi-supervised support vector machines for classification;Neural Computing and Applications;2021-03-01

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