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- Title
Uniform Convergence on Iterations generated by Special Convex Combinations of Parametric Equations.
- Authors
Wei-Chi YANG
- Abstract
This is an expansion and modiÖcation 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.
- Subjects
COLLEGE entrance examinations; COMPUTER graphics; PARAMETRIC equations; APPLICATION software; RECURSIVE sequences (Mathematics)
- Publication
Electronic Journal of Mathematics & Technology, 2024, Vol 18, Issue 2, p77
- ISSN
1933-2823
- Publication type
Article