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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...

Consortium of Swiss Academic Libraries

The Euler characteristics of generalized Kummer schemes

Shen, Junliang

In: Mathematische Zeitschrift, 2015, vol. 281, no. 3-4, p. 1183-1189

Università della Svizzera italiana

Voronoi-like diagrams : towards linear-time algorithms for tree-like abstract Voronoi diagrams

Junginger, Kolja ; Papadopoulou, Evanthia (Dir.)

Thèse de doctorat : Università della Svizzera italiana, 2020 ; 2020INFO013.

Computational Geometry is a subfield of Algorithm Design and Analysis with a focus on the design and analysis of algorithms related to discrete geometric objects. The Voronoi diagram is one of the most important structures in Computational Geometry providing proximity information, which is applicable to many different fields of science. For a given set of points in the plane – called sites...

Université de Fribourg

Modularity of the neck in birds (Aves)

Terray, Léa ; Plateau, Olivia ; Abourachid, Anick ; Böhmer, Christine ; Delapré, Arnaud ; la Bernardie, Xavier de ; Cornette, Raphaël

In: Evolutionary Biology, 2020, p. -

The neck connects the head and the trunk and is the key structure allowing all movements of the head. The neck morphology of birds is the most variable among living tetrapods, including significant differences in the number and shape of the cervical vertebrae. Despite these differences, according to the literature, three morphofunctional regions (i.e., modules) have been identified along the...

Università della Svizzera italiana

Advances in barycentric rational interpolation of a function and its derivatives

Cirillo, Emiliano ; Hormann, Kai (Dir.)

Thèse de doctorat : Università della Svizzera italiana, 2019 ; 2019INFO007.

Linear barycentric rational interpolants are a particular kind of rational interpolants, defined by weights that are independent of the function f. Such interpolants have recently proved to be a viable alternative to more classical interpolation methods, such as global polynomial interpolants and splines, especially in the equispaced setting. Other kinds of interpolants might indeed suffer...

Université de Fribourg

Pressure, surface tension, and curvature in active systems: A touch of equilibrium

Wittmann, René ; Smallenburg, Frank ; Brader, Joseph M.

In: The Journal of Chemical Physics, 2019, vol. 150, no. 17, p. 174908

We explore the pressure of active particles on curved surfaces and its relation to other interfacial properties. We use both direct simulations of the active systems as well as simulations of an equilibrium system with effective (pair) interactions designed to capture the effects of activity. Comparing the active and effective passive systems in terms of their bulk pressure, we elaborate that...

Consortium of Swiss Academic Libraries

Parabolic Molecules

Grohs, Philipp ; Kutyniok, Gitta

In: Foundations of Computational Mathematics, 2014, vol. 14, no. 2, p. 299-337

Consortium of Swiss Academic Libraries

Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below

Gigli, Nicola ; Mondino, Andrea ; Rajala, Tapio

In: Journal für die reine und angewandte Mathematik (Crelles Journal), 2015, vol. 2015, no. 705, p. 233-244