4 papers
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…
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…
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…