Spatial quintic Pythagorean-hodograph interpolants to first-order Hermite data and Frenet frames
From MaRDI portal
Publication:2229986
DOI10.1016/j.cagd.2021.102012zbMath1469.65049OpenAlexW3170409207WikidataQ114202290 ScholiaQ114202290MaRDI QIDQ2229986
Publication date: 17 September 2021
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2021.102012
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures
- Pythagorean-hodograph curves. Algebra and geometry inseparable
- Helical polynomial curves and double Pythagorean hodographs II. Enumeration of low-degree curves
- Cubic Pythagorean hodograph spline curves and applications to sweep surface modeling.
- Characterization and construction of helical polynomial space curves.
- Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves
- On the approximation order of a space data-dependent PH quintic Hermite interpolation scheme
- An interpolation scheme for designing rational rotation-minimizing camera motions
- Singular cases of planar and spatial \(C^1\) Hermite interpolation problems based on quintic Pythagorean-hodograph curves
- A new selection scheme for spatial Pythagorean hodograph quintic Hermite interpolants
- New developments in theory, algorithms, and applications for Pythagorean-hodograph curves
- A characterization of quintic helices
- Helical polynomial curves and double Pythagorean hodographs. I: Quaternion and Hopf map representations
- Design of C 2 Spatial Pythagorean-Hodograph Quintic Spline Curves by Control Polygons
- Mathematics of Surfaces XI