THB-splines: The truncated basis for hierarchical splines
A hierarchical approach to adaptive local refinement in isogeometric analysis
Adaptive isogeometric analysis by local h-refinement with T-splines
Computation of rotation minimizing frames
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
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
Computing roots of polynomials by quadratic clipping
Computer-Aided Design With Spatial Rational B-Spline Motions
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
An explicit formula for the dual basis functions of the Bernstein basis is derived and they are expressed as linear combinations of Bernstein polynomials.