Parametric Rational Cubic Approximation Scheme for Circular Arcs

The research paper presents a numerical method for the G 2 - approximation of circular arcs. The developed technique is worked on a quarter circle and the complete circle is formed using affine transformation. The optimal value of the free parameters is searched by reducing the approximation error t...

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Bibliographic Details
Published inInternational journal of applied and computational mathematics Vol. 10; no. 2
Main Authors Shakeel, Ayesha, Hussain, Maria, Hussain, Malik Zawwar
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.04.2024
Springer Nature B.V
Subjects
Affine transformations
Applications of Mathematics
Approximation
Computational Science and Engineering
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Numerical methods
Operations Research/Decision Theory
Original Paper
Parameters
Theoretical
Absolute radius error
Circular arcs
Parametric rational cubic function
65D05
68U05
constraints
65D07
65D18
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Summary:The research paper presents a numerical method for the G 2 - approximation of circular arcs. The developed technique is worked on a quarter circle and the complete circle is formed using affine transformation. The optimal value of the free parameters is searched by reducing the approximation error to its minimum. Approximation order of the proposed scheme varies from O γ 2 to O γ 4 , depending on the choice of free parameters. The proposed approximation scheme has an improved level of accuracy than the prevailing schemes.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-023-01630-3