Source Themes

Motivated by analogies to classical differential geometry, we propose a theory of smoothness of polyhedral surfaces including suitable notions of normal vectors, tangent planes, asymptotic directions, and parabolic curves that are invariant under projective transformations.

In this paper we study pleated structures generated by folding paper along curved creases. We discuss their properties and the special case of principal pleated structures.

Checkerboard patterns with black rectangles can be derived from quad meshes with orthogonal diagonals.

In this paper, we introduce an effective way of limit analysis on the bearing capacity of given trusses.

We present a novel isotropic surface remeshing algorithm that automatically aligns the mesh edges with an underlying directional field.

We study the design and optimization of polygonal meshes with concave planar faces.

In this paper we study pleated structures generated by folding paper along curved creases. We discuss their properties and the special case of principal pleated structures.

This study contributes to the discrete differential geometry of triangle meshes, in combination with discrete line congruences associated with such meshes.

We use concepts from discrete differential geometry (star-shaped Gauss images) to express fairness, and we also demonstrate how fairness can be incorporated into interactive geometric design of triangulated freeform skins.

We study the design and optimization of polyhedral patterns, which are patterns of planar polygonal faces on freeform surfaces.