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- 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)

- 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)

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

- 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 parameterizations 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)

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

- Michael Barton, Bert Jüttler
- Computer Aided Geometric Design
- 2007

We present an algorithm which is able to compute all roots of a given univariate polynomial within a given interval. In each step, we use degree reduction to generate a strip bounded by two quadratic polynomials which encloses the graph of the polynomial within the interval of interest. The new interval(s) containing the root(s) is (are) obtained by… (More)

- 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)

- Bert Jüttler
- Computers & Graphics
- 1994

- 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)

- Martin Aigner, Bert Jüttler, Laureano González-Vega, Josef Schicho
- J. Symb. Comput.
- 2009

We discuss rational parameterizations of surfaces whose support functions are rational functions of the coordinates specifying the normal vector and of a given non-degenerate quadratic form. The class of these surfaces is closed under offsetting. It comprises surfaces with rational support functions and non-developable quadric surfaces, and it is a subset… (More)