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- Ágoston Róth, Imre Juhász, Josef Schicho, Miklós Hoffmann
- Computer Aided Geometric Design
- 2009

a r t i c l e i n f o a b s t r a c t We define a cyclic basis for the vectorspace of truncated Fourier series. The basis has several nice properties, such as positivity, summing to 1, that are often required in computer aided design, and that are used by designers in order to control curves by manipulating control points. Our curves have cyclic symmetry,… (More)

- Ágoston Róth, Imre Juhász
- Computer Aided Geometric Design
- 2010

a r t i c l e i n f o a b s t r a c t Based on cyclic curves/surfaces introduced in Róth et al. (2009), we specify control point configurations that result an exact description of those closed curves and surfaces the coordinate functions of which are (separable) trigonometric polynomials of finite degree. This class of curves/surfaces comprises several… (More)

- Imre Juhász, Ágoston Róth
- Computer Aided Geometric Design
- 2013

- Imre Juhász, Ágoston Róth
- Computer Aided Geometric Design
- 2008

We provide control point based necessary and sufficient conditions for (n, m) Bézier surfaces to have linear isoparametric lines.

- Ágoston Róth
- J. Computational Applied Mathematics
- 2015

- Imre Juhász, Ágoston Róth
- J. Computational Applied Mathematics
- 2014

- Ágoston Róth, Imre Juhász, Alexandru Kristály
- ArXiv
- 2013

We construct a constrained trivariate extension of the univariate normalized B-basis of the vector space of trigonometric polynomials of arbitrary (finite) order n ∈ N defined on any compact interval [0, α], where α ∈ (0, π). Our triangular extension is a normalized linearly independent constrained trivariate trigonometric function system of dimension δ n =… (More)

- Imre Juhász, Ágoston Róth
- J. Computational Applied Mathematics
- 2010

The aim of this paper is to consider Busemann-type inequalities on Finsler manifolds. We actually formulate a rigidity conjecture: any Finsler manifold which is a Busemann NPC space is Berwaldian. This statement is supported by some theoretical results and numerical examples. The presented examples are obtained by using evolutionary techniques (genetic… (More)

- Ágoston Róth
- ArXiv
- 2014

Using the normalized B-bases of vector spaces of trigonometric and hyperbolic polynomials of finite order, we specify control point configurations for the exact description of higher dimensional (rational) curves and (hybrid) multivariate surfaces determined by coordinate functions that are exclusively given either by traditional trigonometric or hyperbolic… (More)