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of 10
pro vyhledávání: '"Hyun Chol Lee"'
Publikováno v:
Abstract and Applied Analysis, Vol 2018 (2018)
We show that the geometric and PH-preserving properties of the Enneper surface allow us to find PH interpolants for all regular C1 Hermite data-sets. Each such data-set is satisfied by two scaled Enneper surfaces, and we can obtain four interpolants
Externí odkaz:
https://doaj.org/article/9afcb6b8ba66462ea1f15605d492c2df
Publikováno v:
Abstract and Applied Analysis, Vol 2012 (2012)
We present an algorithm for C1 Hermite interpolation using Möbius transformations of planar polynomial Pythagoreanhodograph (PH) cubics. In general, with PH cubics, we cannot solve C1 Hermite interpolation problems, since their lack of parameters ma
Externí odkaz:
https://doaj.org/article/78033096f8d444d9a9823463936a88f8
Publikováno v:
Abstract and Applied Analysis. 2018:1-10
We show that the geometric and PH-preserving properties of the Enneper surface allow us to find PH interpolants for all regular C1 Hermite data-sets. Each such data-set is satisfied by two scaled Enneper surfaces, and we can obtain four interpolants
Publikováno v:
Korean Society of Hazard Mitigation. 17:247-256
Autor:
Hyun-Chol Lee
Publikováno v:
Journal of Korean Society of Hazard Mitigation. 14:65-71
Publikováno v:
Computer Aided Geometric Design. 31:689-700
We show how to find four generic interpolants to a C 1 Hermite data-set in the complex representation, using Pythagorean-hodograph curves generated as cuts of degree ( 1 , 3 ) of Laurent series. The developed numerical experiments have shown that two
Autor:
Yang-Hee Joe, Hyun-Chol Lee
Publikováno v:
Journal of the Korea institute for structural maintenance and inspection. 18:147-154
The cable damages of the bridge structures induce very important impact on the structural safety, which implies the close monitoring of the cable damage is required to secure sustained safety of the bridges. Most usual available maintenance technique
Publikováno v:
Journal of Computational and Applied Mathematics. 248:47-60
We show how to create a new class of infinitely many PH Hermite interpolants for a given ordinary C^1 Hermite data-set, in a way that ameliorates the rapid shape transitions in PH quintic interpolants that occurs when boundary data has poor geometric
Autor:
Hyun Chol Lee, Sunhong Lee
Publikováno v:
East Asian mathematical journal. 29:53-68
We solve the geometric Hermite interpolation problem withplanar Pythagorean-hodograph cubics. For every Hermite data, we de-termine the exact number of the geometric Hermite interpolants and rep-resent the interpolants explicitly. We also present a s
Autor:
Hyun Chol Lee, Sunhong Lee
Publikováno v:
East Asian mathematical journal. 28:13-23
In this paper, we present the geometric Hermite interpolation for planar Pythagorean-hodograph cubics for some general Hermite data. curve ro(t) = r(t) + dn(t) at a xed distance d from a given polynomial curve r(t), in the direction of its unit norma