THB-splines: The truncated basis for hierarchical splines
- Carlotta Giannelli, B. Jüttler, H. Speleers
- Computer ScienceComputer Aided Geometric Design
- 1 October 2012
A hierarchical approach to adaptive local refinement in isogeometric analysis
- Anh-Vu Vuong, Carlotta Giannelli, B. Jüttler, B. Simeon
- Computer Science, Mathematics
- 1 December 2011
Adaptive isogeometric analysis by local h-refinement with T-splines
- M. R. Dörfel, B. Jüttler, B. Simeon
- Computer Science
- 2010
Computation of rotation minimizing frames
- Wenping Wang, B. Jüttler, Dayue Zheng, Yang Liu
- Computer ScienceTOGS
- 1 March 2008
This work presents a novel simple and efficient method for accurate and stable computation of RMF of a curve in 3D, which uses two reflections to compute each frame from its preceding one to yield a sequence of frames to approximate an exact RMF.
THB-splines: An effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis
- Carlotta Giannelli, B. Jüttler, Stefan K. Kleiss, Angelos Mantzaflaris, B. Simeon, Jaka Speh
- Computer Science
- 1 February 2016
Strongly stable bases for adaptively refined multilevel spline spaces
- Carlotta Giannelli, B. Jüttler, H. Speleers
- Computer ScienceAdvances in Computational Mathematics
- 1 April 2014
The problem of constructing a normalized hierarchical basis for adaptively refined spline spaces is addressed and the theory is applied to hierarchically refined tensor-productspline spaces, under certain reasonable assumptions on the given knot configuration.
An algebraic approach to curves and surfaces on the sphere and on other quadrics
- R. Dietz, J. Hoschek, B. Jüttler
- MathematicsComputer Aided Geometric Design
- 1 August 1993
Computing roots of polynomials by quadratic clipping
- M. Barton, B. Jüttler
- Mathematics, Computer ScienceComputer Aided Geometric Design
- 1 April 2007
Computer-Aided Design With Spatial Rational B-Spline Motions
- B. Jüttler, M. G. Wagner
- Computer Science
- 1 June 1996
The basic theory of rational motions is summarized and a linear control structure for piecewise rational motions suitable for geometry processing is introduced and algorithms for the calculation of the surface which is swept out by a moving polyhedron are provided.
The dual basis functions for the Bernstein polynomials
- B. Jüttler
- MathematicsAdvances in Computational Mathematics
- 1998
An explicit formula for the dual basis functions of the Bernstein basis is derived and they are expressed as linear combinations of Bernstein polynomials.
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