Topic Title

Transformations and Base Shape Analysis

Topic Description

Principal aim is to develop the mathematical foundation for a more intuitive yet procedural approach to the computational design of free-form shapes. In particular, a novel approach to the base shape analysis of a given shape will be investigated, that is, to a decomposition of the shape into geometrically meaningful "base shapes" that provides geometric insight and hence lends itself to an intuitive refinement of a design while preserving geometric structure.


Qualification Profile

A suitable background in mathematics, in particular, in differential geometry, earned through a pertinent academic degree programme is required. An interest in art or design will be advantageous.



This topic is supervised by a team of 3 supervisors. Lead supervisor is Christian Müller (Institute of Discrete Mathematics and Geometry). Additional supervisors are Udo Hertrich-Jeromin (Institute of Discrete Mathematics and Geometry) and Florian Rist (Institute of Art and Design).