Geometry Processing and Digital Fabrication

Our research focuses on concepts and practical algorithms for the creation and manipulation of digital shape representation.We are interested in how geometry processing intersects with artistic modelling and digital fabrication.

Our primary goal is to push the boundaries of current industrial production pipelines by exploiting the theoretical foundations in geometry processing. This includes mesh parametrization, reconstruction, surface abstraction and global optimization applied to the entertainment industry, digital fabrication and architectural geometry.

Mesh Parametrization

Parametrization is commonly defined as a bijective mapping between a two-dimensional domain and a two-manifold surface embedded in R3. “Good” parameterizations are a prerequisite in modelling and rendering techniques, like remeshing, morphing, texture mapping and others.

Robust Field-aligned Global Parametrization present a robust method for computing locally bijective global parametrizations aligned with a given cross-field.

Global Parametrization of Range Image Sets allows to globally parameterize a surface represented by range images. In contrast to other parameterization techniques, we do not start with a manifold mesh. Construction of such global parameterization requires only a way to project surface data onto a set of planes, and can be applied directly to implicit surfaces, nonmanifold surfaces, very large meshes, and collections of range scans.

Simple Quad Domains technique preserves alignment to a cross field in input while obtaining a parametric domain made of few coarse axis-aligned rectangular patches,which form an abstract base complex without T-junctions.

Fabrication

Elastic Textures are a set of parametric, tileable, printable, cubic patterns achieving a broad range of elastic material properties: the softest pattern is over a thousand times softer than the stiffest, and the Poisson ratios range from below zero to nearly 0.5.

Statics Aware Grid Shells introduces a framework for the generation of polygonal grid-shell architectural structures, whose topology is designed in order to excel in static performances.

Field Aligned Mesh Joinery is an innovative method to produce illustrative shape approximations suitable for fabrication.

Modeling

An interactive quadrangulation method based on a large collection of patterns that are learned from models manually designed by artists.

Feature-aligned T-meshes proposes an approach to constructing patch layouts consisting of small numbers of quadrilateral patches while maintaining good feature alignment. To achieve this, we use quadrilateral T-meshes, for which the intersection of two faces may not be the whole edge or vertex, but a part of an edge

… see some additional result in the publications page.