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Hybrid Booleans
(The Eurographics Association and Blackwell Publishing Ltd, 2010)
In this paper, we present a novel method to compute Boolean operations on polygonal meshes. Given a Boolean expression over an arbitrary number of input meshes we reliably and efficiently compute an output mesh which ...
Simpler Quad Layouts using Relaxed Singularities
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
A common approach to automatic quad layout generation on surfaces is to, in a first stage, decide on the positioning of irregular layout vertices, followed by finding sensible layout edges connecting these vertices and ...
Surface Map Homology Inference
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
A homeomorphism between two surfaces not only defines a (continuous and bijective) geometric correspondence of points but also (by implication) an identification of topological features, i.e. handles and tunnels, and how ...
Quad Layouts via Constrained T-Mesh Quantization
(The Eurographics Association and John Wiley & Sons Ltd., 2021)
We present a robust and fast method for the creation of conforming quad layouts on surfaces. Our algorithm is based on the quantization of a T-mesh, i.e. an assignment of integer lengths to the sides of a non-conforming ...
Exact and Robust (Self-)Intersections for Polygonal Meshes
(The Eurographics Association and Blackwell Publishing Ltd, 2010)
We present a new technique to implement operators that modify the topology of polygonal meshes at intersections and self-intersections. Depending on the modification strategy, this effectively results in operators for ...
Walking On Broken Mesh: Defect-Tolerant Geodesic Distances and Parameterizations
(The Eurographics Association and Blackwell Publishing Ltd., 2011)
Efficient methods to compute intrinsic distances and geodesic paths have been presented for various types of surface representations, most importantly polygon meshes. These meshes are usually assumed to be well-structured ...
Rationalization of Triangle-Based Point-Folding Structures
(The Eurographics Association and John Wiley and Sons Ltd., 2012)
In mechanical engineering and architecture, structural elements with low material consumption and high loadbearing capabilities are essential for light-weight and even self-supporting constructions. This paper deals with ...
Practical Anisotropic Geodesy
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
The computation of intrinsic, geodesic distances and geodesic paths on surfaces is a fundamental low-level building block in countless Computer Graphics and Geometry Processing applications. This demand led to the development ...
Scale-Invariant Directional Alignment of Surface Parametrizations
(The Eurographics Association and John Wiley & Sons Ltd., 2016)
Various applications of global surface parametrization benefit from the alignment of parametrization isolines with principal curvature directions. This is particularly true for recent parametrization-based meshing approaches, ...
TinyAD: Automatic Differentiation in Geometry Processing Made Simple
(The Eurographics Association and John Wiley & Sons Ltd., 2022)
Non-linear optimization is essential to many areas of geometry processing research. However, when experimenting with different problem formulations or when prototyping new algorithms, a major practical obstacle is the need ...