Source Themes

Architectural freeform surfaces designed for cost-effective paneling through mold re-use

In this paper we draw the attention to a new way of computing such constrained quad meshes. The new methodology is based on the diagonal meshes of a quad mesh and the checkerboard pattern of parallelograms one obtains by subdividing a quad mesh at its edge midpoints.

Computational Design and Optimization of Quad Meshes Based on Diagonal Meshes

In this paper we draw the attention to a new way of computing such constrained quad meshes. The new methodology is based on the diagonal meshes of a quad mesh and the checkerboard pattern of parallelograms one obtains by subdividing a quad mesh at its edge midpoints.

Quad-Mesh Based Isometric Mappings and Developable Surfaces

We discretize isometric mappings between surfaces as correspondences between checkerboard patterns derived from quad meshes.

Smooth Polyhedral Surfaces

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.

Curve-pleated Structures

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

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

Ultimate Force Boundary of Trusses

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

Field-Aligned Isotropic Surface Remeshing

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

Polyhedral meshes with concave faces

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

Design and Volume Optimization of Space Structures

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.