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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| Veröffentlicht in: | The electronic journal of mathematics & technology 2024-06, Vol.18 (2), p.77 |
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| description | 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. |
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| subjects | Analysis Combinatorial analysis Convergence (Mathematics) Convex functions Iteration (Mathematics) Iterative methods (Mathematics) Methods Parametric equations |
| title | Uniform Convergence on Iterations generated by Special Convex Combinations of Parametric Equations |
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