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GEOMETRIC HERMITE INTERPOLATION FOR PLANAR PYTHAGOREAN-HODOGRAPH CUBICSopen accessGEOMETRIC HERMITE INTERPOLATION FOR PLANAR PYTHAGOREAN-HODOGRAPH CUBICS
- Other Titles
- GEOMETRIC HERMITE INTERPOLATION FOR PLANAR PYTHAGOREAN-HODOGRAPH CUBICS
- Issue Date
- 2013
- Publisher
- 영남수학회
- Keywords
- Pythagorean-hodograph curves; pythagorean-hodograph cubics; geometric Hermite interpolation
- Citation
- East Asian Mathematical Journal, v.29, no.1, pp 53 - 68
- Pages
- 16
- Indexed
- KCI
- Journal Title
- East Asian Mathematical Journal
- Volume
- 29
- Number
- 1
- Start Page
- 53
- End Page
- 68
- ISSN
- 1226-6973
2287-2833
- 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.
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