An interpolation scheme for designing rational rotation-minimizing camera motions
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Publication:1946487
DOI10.1007/S10444-011-9226-ZzbMath1315.65011OpenAlexW2003407090MaRDI QIDQ1946487
Rida T. Farouki, Carlotta Giannelli, Alessandra Sestini
Publication date: 15 April 2013
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-011-9226-z
interpolationangular velocityquaternionsrotation-minimizing framescamera orientationdirected framesPythagorean curves
Related Items (3)
\(C^1\) interpolation by rational biarcs with rational rotation minimizing directed frames ⋮ Spatial quintic Pythagorean-hodograph interpolants to first-order Hermite data and Frenet frames ⋮ Rational rotation-minimizing frames -- recent advances and open problems
Cites Work
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- Nonexistence of rational rotation-minimizing frames on cubic curves
- Rational rotation-minimizing frames on polynomial space curves of arbitrary degree
- Pythagorean-hodograph curves. Algebra and geometry inseparable
- Clifford algebra, spin representation, and rational parameterization of curves and surfaces
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- Quaternion and Hopf map characterizations for the existence of rational rotation-minimizing frames on quintic space curves
- Construction of Rational Curves with Rational Rotation-Minimizing Frames via Möbius Transformations
- Design of rational rotation–minimizing rigid body motions by Hermite interpolation
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