Michael Jimenez (ESR12)

2016 — present: PhD in Mathematics focusing on applied Geometry, at the Technische Universität Wien, Vienna, Austria.
2012 — 2015: MSc in Mathematics focusing on differential Geometry, at Universität Bonn, Bonn, Germany.
2008 — 2012: AB in Mathematics focusing on differential Geometry, at Princeton University, Princeton, NJ, USA.

Project: Interactive geometric design under constraints imposed by function and fabrication

Supervisor: Helmut Pottmann

Institution: TU Wien, Vienna, Austria

The goal of this research is to develop methodology for an integrated interactive design approach which takes constraints arising from function and fabrication already in the geometric design phase into account. Starting from our interactive form-finding tool for polyhedral surfaces, we will aim at deeper insight into the extent to which the method of simplifying the constraint variety through sparse quadratic constraints is applicable to other scenarios. As a practically important example, we will develop a prototypical system for interactive control-point based design and approximation with models composed of developable rational B-spline surfaces, with capabilities of handling as-isometric-as-possible deformations of developable NURBS models, designing curved-folded objects, and incorporating constraints on the bending behaviour of the underlying material.

The project will take place at the Institute of Discrete Mathematics and Geometry at TU Wien.

Secondments are planned at U. Strathclyde (Glasgow, UK) and at industrial partner Missler (France).