11 citations · 29 across the 12 of their papers we have counts for
14 papers
A sampling method based on highest density regions: Applications to surrogate models
Jocelyn Minini, Micha Wasem
This paper introduces a practical, one-shot design-of-experiments strategy for training surrogate models in the context of uncertainty quantification. Instead of drawing the experi…
Poncelet Curves
Norbert Hungerbühler, Micha Wasem
We examine pairs of closed plane curves that have the same closing property as two conic sections in Poncelet's porism. We show how the vertex curve can be computed for a given env…
Application of a Fourier-Type Series Approach based on Triangles of Constant Width to Letterforms
Micha Wasem, Florence Yerly
In this work, we present a novel approach to type design by using Fourier-type series to generate letterforms. We construct a Fourier-type series for functions in $L^2(S^1,\mathbb…
Counting Nodes in Smolyak Grids
Jocelyn Minini, Micha Wasem
Using generating functions, we are proposing a unified approach to produce explicit formulas, which count the number of nodes in Smolyak grids based on various univariate quadratur…
Polyfunctions over Commutative Rings
Ernst Specker, Norbert Hungerbühler, Micha Wasem
A function , where is a commutative ring with unit element, is called polyfunction if it admits a polynomial representative . Based on this notion we intro…
The Ring of Polyfunctions over
Ernst Specker, Norbert Hungerbühler, Micha Wasem
We study the ring of polyfunctions over . The ring of polyfunctions over a commutative ring with unit element is the ring of functions which ad…
On Absolute and Relative Change
Silvan Brauen, Philipp Erpf, Micha Wasem
Based on an axiomatic approach we propose two related novel one-parameter families of indicators of change which put in a relation classical indicators of change such as absolute c…
Equilibria of plane convex bodies
Jonas Allemann, Norbert Hungerbühler, Micha Wasem
We obtain a formula for the number of horizontal equilibria of a planar convex body with respect to a center of mass in terms of the winding number of the evolute of $\part…
An integral that counts the zeros of a function
Norbert Hungerbühler, Micha Wasem
Given a real function on an interval satisfying mild regularity conditions, we determine the number of zeros of by evaluating a certain integral. The integrand depe…
Non-integer valued winding numbers and a generalized Residue Theorem
Norbert Hungerbühler, Micha Wasem
We define a generalization of the winding number of a piecewise cycle in the complex plane which has a geometric meaning also for points which lie on the cycle. The computati…
-Principle for Curves with Prescribed Curvature
Micha Wasem
We prove that every immersed -curve in , with curvature can be -approximated by immersed -curves having prescribed curvature $k…
Convex Integration and Legendrian Approximation of Curves
Norbert Hungerbühler, Thomas Mettler, Micha Wasem
Using convex integration we give a constructive proof of the well-known fact that every continuous curve in a contact -manifold can be approximated by a Legendrian curve.
Equidimensional Isometric Extensions
Micha Wasem
Let be a hypersurface in an -dimensional Riemannian manifold , . We study the isometric extension problem for isometric immersions , wher…
The One-Sided Isometric Extension Problem
Norbert Hungerbühler, Micha Wasem
Let be a codimension one submanifold of an -dimensional Riemannian manifold , . We give a necessary condition for an isometric immersion of into $\mathb…