Monotonicity preserving representations of curves and surfaces-Reference-Cited by-同舟云学术

Monotonicity preserving representations of curves and surfaces

Published:2016-07-01 Issue:2 Volume:1 Page:517-528
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Delgado Jorge¹,Manuel Peña Juan¹

Affiliation:

1. Departamento de Matemática Aplicada , Universidad de Zaragoza, Escuela Universitaria Politécnica de Teruel , 44003 Teruel , Spain

Abstract

Abstract In this paper we revisit the problem of monotonicity preservation of curves and surfaces and we provide some new proofs and open problems. In particular, we prove a new formula for the derivation of rational Bézier curves. We also deal with the rational monotonicity preservation of rational Bézier surfaces and a related conjecture is presented.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.21042/AMNS.2016.2.00041

Reference12 articles.

1. On efficient algorithms for the evaluation of rational tensor product surfaces in : Mathematical methods for curves and surfaces in Mathematics Nashboro Press Brentwood Are rational Bézier surfaces monotonicity preserving ? No;Delgado;Modern Methods Computer Aided Geometric Design,2005

2. Accurate evaluation of Bézier curves and surfaces and the Bernstein - Fourier algo - rithm;Delgado;Applied Mathematics and Computation,2015

3. Smooth surfaces from bilinear patches : Discrete affine minimal surfaces No;Käferböck;Computer Aided Geometric Design,2013

4. Derivatives of rational Bézier curves No Tensor - product monotonicity preservation Advances in Computational Mathe - matics No;Floater;Computer Aided Geometric Design,1992

5. The bound on derivatives of rational Bézier curves No;Huang;Computer Aided Geometric Design,2006

Cited by 5 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. Optimal Scheduling Algorithms of System Chip Power Density Based on Network on Chip;Russian Physics Journal;2022-01

2. Digital Watermarking Image Compression Method Based on Symmetric Encryption Algorithms;Symmetry;2019-12-11

3. Optimization of Flocculation Settling Parameters of Whole Tailings Based on Spatial Difference Algorithm;Symmetry;2019-11-05

4. Information retrieval algorithm of industrial cluster based on vector space;Open Physics;2019-01-01

5. A long time tracking with BIN-NST and DRN;Journal of Ambient Intelligence and Humanized Computing;2018-09-05