Uniform Convergence on Iterations generated by Special Convex Combinations of Parametric Equations

This is an expansion and modification of the paper from [6]. We discuss the convergence of locus in the paper [5], which originated from a practice problem for the Chinese college entrance exam. Next, we extended some results in [6] from 2D to 3D. We are interested in the limit of a recursive sequen...

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Bibliographic Details
Published inThe electronic journal of mathematics & technology Vol. 18; no. 2; pp. 77 - 97
Main Author Yang, Wei-Chi
Format Journal Article
LanguageEnglish
Published Mathematics and Technology, LLC 01.06.2024
Subjects
Analysis
Combinatorial analysis
Convergence (Mathematics)
Convex functions
Iteration (Mathematics)
Iterative methods (Mathematics)
Methods
Parametric equations
United States
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ISSN1933-2823
1933-2823

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Summary:This is an expansion and modification of the paper from [6]. We discuss the convergence of locus in the paper [5], which originated from a practice problem for the Chinese college entrance exam. Next, we extended some results in [6] from 2D to 3D. We are interested in the limit of a recursive sequence of loci that is built on a special convex combination of vectors involving curves or surfaces. We shall see many interesting graphs of uniform convergence of sequences generated by parametric curves and surfaces, which we hope to inspire many applications in computer graphics, and other related disciplines.
ISSN:1933-2823
1933-2823