Source Themes

GSO-Net: Grid Surface Optimization via Learning Geometric Constraints

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

Observation of a Higher-Order End Topological Insulator in a Real Projective Lattice

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

Forward and inverse D-Form modelling based on optimisation

In this paper, we study how to computationally and intuitively model D-Forms. We present an optimisation-based framework that can efficiently generates D-Form shapes.Our framework can model D-Forms with two approaches based on two different user inputs, including the forward modelling from two given planar domains and, more importantly, the inverse modelling from a given space curve where the planar domains are no longer needed.

Architectural Structures from Quad Meshes with Planar Parameter Lines

We address the computational design of architectural structures which are based on a grid of intersecting beams that are aligned with the parameter lines of a quad mesh.

Planar panels and planar supporting beams in architectural structures

In this paper we investigate geometric properties and modeling capabilities of quad meshes with planar faces whose mesh polylines enjoy the additional property of being contained in a single plane.

Shape-morphing Mechanical Metamaterials

We here present an affirmative solution to a fundamental geometric question, namely the targeted programming of a shape morph.

Computational Design of Lightweight Trusses

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.

Using Isometries for Computational Design and Fabrication

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

Freeform Quad-based Kirigami

Kirigami, the traditional Japanese art of paper cutting and folding generalizes origami and has initiated new research in material science as well as graphics.

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.