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Università della Svizzera italiana

New shape control tools for rational Bézier curve design

Ramanantoanina, Andriamahenina ; Hormann, Kai

In: Computer aided geometric design, 2021, vol. 88, p. 11

Bézier curves are indispensable for geometric modelling and computer graphics. They have numerous favourable properties and provide the user with intuitive tools for editing the shape of a parametric polynomial curve. Even more control and flexibility can be achieved by associating a shape parameter with each control point and considering rational Bézier curves, which comes with the...

Università della Svizzera italiana

Using linear algebra in decomposition of Farkas interpolants

Blicha, Martin ; Hyvärinen, Antti E. J. ; Kofroň, Jan ; Sharygina, Natasha

In: International journal on software tools for technology transfer, 2021, p. 15

The use of propositional logic and systems of linear inequalities over reals is a common means to model software for formal verification. Craig interpolants constitute a central building block in this setting for over-approximating reachable states, e.g. as candidates for inductive loop invariants. Interpolants for a linear system can be efficiently computed from a Simplex refutation by ...

Consortium of Swiss Academic Libraries

Non-rationality of some fibrations associated to Klein surfaces

Blanc, Jérémy

In: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2015, vol. 56, no. 1, p. 351-371

Consortium of Swiss Academic Libraries

Comparison of approximate shape gradients

Hiptmair, R. ; Paganini, A. ; Sargheini, S.

In: BIT Numerical Mathematics, 2015, vol. 55, no. 2, p. 459-485

Consortium of Swiss Academic Libraries

Exponential Decay of Correlations Implies Area Law

Brandão, Fernando ; Horodecki, Michał

In: Communications in Mathematical Physics, 2015, vol. 333, no. 2, p. 761-798

Consortium of Swiss Academic Libraries

Optimal A Priori Discretization Error Bounds for Geodesic Finite Elements

Grohs, Philipp ; Hardering, Hanne ; Sander, Oliver

In: Foundations of Computational Mathematics, 2015, vol. 15, no. 6, p. 1357-1411