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- Bert Jüttler, Alf Felis
- Adv. Comput. Math.
- 2002

- Wenping Wang, Bert Jüttler, Dayue Zheng, Yang Liu
- ACM Trans. Graph.
- 2008

Due to its minimal twist, the rotation minimizing frame (RMF) is widely used in computer graphics, including sweep or blending surface modeling, motion design and control in computer animation and robotics, streamline visualization, and tool path planning in CAD/CAM. We present a novel simple and efficient method for accurate and stable computation of RMF… (More)

- Michael R. Dörfel, Bert Jüttler, Bernd Simeon
- 2007

Isogeometric analysis based on NURBS (Non-Uniform Rational B-Splines) as basis functions preserves the exact geometry but suffers from the drawback of a rectangular grid of control points in the parameter space, which renders a purely local refinement impossible. This paper demonstrates how this difficulty can be overcome by using T-splines instead.… (More)

- Bert Jüttler
- Adv. Comput. Math.
- 1998

- Martin Aigner, Christoph Heinrich, Bert Jüttler, Elisabeth Pilgerstorfer, Bernd Simeon, Anh-Vu Vuong
- IMA Conference on the Mathematics of Surfaces
- 2009

Isogeometric Analysis uses NURBS representations of the domain for performing numerical simulations. The first part of this paper presents a variational framework for generating NURBS parameteriza-tions of swept volumes. The class of these volumes covers a number of interesting free-form shapes, such as blades of turbines and propellers, ship hulls or wings… (More)

- Giovanni Della Vecchia, Bert Jüttler, Myung-Soo Kim
- Computer Aided Geometric Design
- 2008

Given a closed triangular mesh, we construct a smooth free–form surface which is described as a collection of rational tensor–product and triangular surface patches. The surface is obtained by a special manifold surface construction, which proceeds by blending together geometry functions for each vertex. The transition functions between the charts, which… (More)

- Roland Dietz, Josef Hoschek, Bert Jüttler
- Computer Aided Geometric Design
- 1993

- Carlotta Giannelli, Bert Jüttler, Hendrik Speleers
- Computer Aided Geometric Design
- 2012

The construction of classical hierarchical B–splines can be suitably modified in order to define locally supported basis functions that form a partition of unity. We will show that this property can be obtained by reducing the support of basis functions defined on coarse grids, according to finer levels in the hierarchy of splines. This truncation not only… (More)

- Carlotta Giannelli, Bert Jüttler
- J. Computational Applied Mathematics
- 2013

We prove that the dimension of bivariate tensor–product spline spaces of bi– degree (d, d) with maximum order of smoothness on a multi–cell domain (more precisely, on a set of cells from a tensor–product grid) is equal to the number of tensor–product B–spline basis functions, defined by only single knots in both directions, acting on the considered domain.… (More)

- Zbynek Sír, Robert Feichtinger, Bert Jüttler
- Computer-Aided Design
- 2006

This paper compares two techniques for the approximation of the offsets to a given planar curve. The two methods are based on approximate conversion of the planar curve into circular splines and Pythagorean hodograph (PH) splines, respectively. The circular splines are obtained using a novel variant of biarc interpolation, while the PH splines are… (More)