of Planar Curves by Piecewise Rational Approximation (2008)
M. Shalaby, B. Jüttler, J. Schicho
Abstract We present an approximate implicitization method for planar curves. The computed implicit representation is a piecewise rational approximation of the distance function to the given...
2001), Hermite interpolation by Pythagorean hodograph curves of degree seven (2008)
Abstract. Polynomial Pythagorean hodograph (PH) curves form a remarkable subclass of polynomial parametric curves; they are distinguished by having a polynomial arc length function and rational...
Approximate implicitization via curve fitting (2008)
L. Kobbelt, P. Schröder, E. Wurm, B. Jüttler
We discuss methods for fitting implicitly defined (e.g. piecewise algebraic) curves to scattered data, which may contain problematic regions, such as edges, cusps or vertices. As the main idea, we...
The Visual Computer manuscript No. (will be inserted by the editor) (2008)
Huaiping Yang, Bert Jüttler, H. Yang, B. Jüttler
Abstract We propose a new method for 3D shape metamorphosis, where the in-between objects are constructed by using T-spline scalar functions. The use of T-spline level sets offers several advantages:...
O. Aichholzer, F. Aurenhammer, T. Hackl, B. Jüttler, M. Oberneder, Z. ˇ Sír, ...
Boundary approximation of planar shapes by circular arcs has quantitive and qualitative advantages compared to using straight-line segments. We demonstrate this by way of three basic and frequent...
R. Feichtinger, M. Fuchs, B. Jüttler, O. Scherzer, H. Yang, Robert Feichtinger, ...
Abstract. By simultaneously considering evolution processes for parametric spline curves and implicitly defined curves, we formulate the framework of dual evolution. This allows us to combine the...
INDUSTRIAL GEOMETRY Computer Aided Geometric Design Computer Vision (2006)
H. Yang, B. Jüttler, Huaiping Yang, Bert Jüttler
An evolution–based approach for the approximate parameterization of implicitly defined curves by polynomial parametric spline curves
M. Aigner, B. Jüttler, Martin Aigner, Bert Jüttler
www.ag.jku.at We consider a parameterized family of closed planar curves and introduce an evolution process for identifying a member of the family that approximates a given unorganized point cloud...
H. Yang, M. Fuchs, B. Jüttler, O. Scherzer, Huaiping Yang, Matthias Fuchs, ...
We study the evolution of T-spline level sets (i.e, implicitly defined T-spline curves and surfaces). The use of T-splines leads to a sparse representation of the geometry and allows for an...
Spline Implicitization of Planar Curves (2003)
Communicated Olga Caprotti, B. Jüttler, J. Schicho, M. Shalaby
of posters that were accepted and presented at the conference. The best poster award committee, consisting of
Forschungsschwerpunkt S, F. Aurenhammer, B. Jüttler, Franz Aurenhammer, Bert Jüttler
We utilize support functions to transform the problem of constructing the convex hull of a finite set of spherical objects into the problem of computing the upper envelope of piecewise linear...
Forschungsschwerpunkt S, R. Feichtinger, H. Yang, B. Jüttler, Robert Feichtinger, Huaiping Yang, ...
In this paper we consider an evolution process for implicitly defined surfaces, which are represented as the zero–levels of Tspline functions. We present two novel contributions. First, we will use...