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- Mario Kapl, Vito Vitrih, Bert Jüttler, Katharina Birner
- Computers & Mathematics with Applications
- 2015

We study the linear space of C-smooth isogeometric functions defined on a multi-patch domain Ω ⊂ R. We show that the construction of these functions is closely related to the concept of geometric… (More)

- M. Rossgatterer, Bert Jüttler, Mario Kapl, Giovanni Della Vecchia
- Computers & Graphics
- 2012

We present a method for constructing blades of hydroelectric turbines and ship propellers based on design parameters that possess a clear hydraulic meaning. The design process corresponds to the… (More)

- Mario Kapl, Bert Jüttler
- J. Computational Applied Mathematics
- 2009

We construct biorthogonal spline wavelets for periodic splines which extend the notion of “lazy” wavelets for linear functions (where the wavelets are simply a subset of the scaling functions) to… (More)

- Mario Kapl, Marek Byrtus, Bert Jüttler
- Computer-Aided Design
- 2011

We present a new method for generating a [Formula: see text]-surface from a triangular network of compatible surface strips. The compatible surface strips are given by a network of polynomial curves… (More)

- Mario Kapl, Vito Vitrih
- Computers & Mathematics with Applications
- 2017

The space of C-smooth geometrically continuous isogeometric functions on bilinearly parameterized two-patch domains is considered. The investigation of the dimension of the spaces of biquintic and… (More)

We present a new type of Voronoi diagram in R that respects the anisotropy exerted on the plane by a given distance graph. It is based on a metric obtained by smoothly and injectively embedding of R… (More)

- Mario Kapl, Giancarlo Sangalli, Thomas Takacs
- Computer Aided Geometric Design
- 2017

We present a new class of metrics on R, which we call the scaled embedding-generated (SEG) metric. These metrics are defined with the help of a smooth one-to-one embedding of R into R and an… (More)

A metric on a set A is a symmetric function which defines a nonnegative distance between any two points of A, such that the triangle inequality is fulfilled. Given a set of points, called sites, the… (More)

- Mario Kapl, Vito Vitrih
- J. Computational Applied Mathematics
- 2018

A particular class of planar two-patch geometries, called bilinear-like G two-patch geometries, is introduced. This class includes the subclass of all bilinear two-patch parameterizations and… (More)