논문KCI 등재
GEOMETRIC HERMITE INTERPOLATION FOR PLANAR PYTHAGOREAN-HODOGRAPH CUBICS
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참고문헌
키워드
주제분류수학
초록
We solve the geometric Hermite interpolation problem with planar Pythagorean-hodograph cubics. For every Hermite data, we determine the exact number of the geometric Hermite interpolants and represent the interpolants explicitly. We also present a simple criterion for determining whether the interpolants have a loop or not.
Abstract
We solve the geometric Hermite interpolation problem with planar Pythagorean-hodograph cubics. For every Hermite data, we determine the exact number of the geometric Hermite interpolants and represent the interpolants explicitly. We also present a simple criterion for determining whether the interpolants have a loop or not.
참고문헌 (14)
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관련 논문AI추천
PYTHAGOREAN-HODOGRAPH CUBICS AND GEOMETRIC HERMITE INTERPOLATION이선홍, Hyun Chol Lee영남수학회 · East Asian Mathematical Journal2012 · 제28권 제1호HERMITE INTERPOLATION USING PH CURVES WITH UNDETERMINED JUNCTION POINTS공재훈, 김광일, 정승필대한수학회 · 대한수학회보2012 · 제49권 제1호$C^1$ Hermite interpolation with MPH curves using PH-MPH transitive mappings공재훈, 김광일, 이현철대한수학회 · 대한수학회지2019 · 제56권 제3호RATIONAL CURVES ARE NOT UNIT SPEED IN THE GENERAL EUCLIDEAN SPACE이선홍영남수학회 · East Asian Mathematical Journal2010 · 제26권 제1호Interpolation of surfaces with geodesics윤대원, 이재원, 이현철대한수학회 · 대한수학회지2020 · 제57권 제4호A NEW CLASS OF INTERPOLATORY HERMITE SUBDIVISION SCHEMES REPRODUCING POLYNOMIALS정병선영남수학회 · East Asian Mathematical Journal2022 · 제38권 제3호
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