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Computational Analysis of Mesh Simplification Using Global Error

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Symmetry in 3D Geometry: Extraction and Applications

Mark Pauly, Duygu Ceylan

The concept of symmetry has received significant attention in computer graphics and computer vision research in recent years. Numerous methods have been proposed to find, extract, encode and exploit geometric symmetries and high‐level structural informatio ...

2013

Caustic Art

Mark Pauly

The computation of caustics created by reflection or refraction of light is a well-studied problem in computer graphics. This paper investigates the inverse problem: Given a greyscale intensity image, find the shape of a surface that will cast a caustic th ...

2012

A neuron membrane mesh representation for visualization of electrophysiological simulations

Henry Markram, Felix Schürmann, Sean Lewis Hill, Juan Bautista Hernando Vieites, Sébastien Lasserre

We present a process to automatically generate three-dimensional mesh representations of the complex, arborized cell membrane surface of cortical neurons (the principal information processing cells of the brain) from nonuniform morphological measurements. ...

Institute of Electrical and Electronics Engineers2012

Automated Reconstruction of Tree Structures using Path Classifiers and Mixed Integer Programming

Pascal Fua, Engin Türetken, Fethallah Benmansour

Although tracing linear structures in 2D images and 3D image stacks has received much attention over the years, full automation remains elusive. In this paper, we formulate the delineation problem as one of solving a Quadratic Mixed Integer Program (Q-MIP) ...

2012

An Isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces

Luca Dede'

We explore hierarchical refinement of NURBS as a basis for adaptive isogeometric and immersed boundary analysis. We use the principle of B-spline subdivision to derive a local refinement procedure, which combines full analysis suitability of the basis with ...

Elsevier2012

Corporate structure optimisation for multinational companies

In this paper we consider a multinational corporate structuring problem. This problem involves designing a corporate/organisational structure (across different countries) so as to remit profits from a number of subsidiaries to a single parent company, whil ...

2012

Photo-Realistic Real-time Face Rendering

Daniel Chappuis

Face rendering is a really important topic in Computer Graphics because a lot of virtual simulations or video games contain virtual humans. In order to obtain a realistic face, we need to take care of skin rendering. Nowadays, we can use modern 3D scanning ...

2011

Computing correspondences in geometric data sets

Mark Pauly, Hao Li

Shape registration and, more generally speaking, computing correspondence across shapes are fundamental problems in computer graphics and vision. Problems from this area show up in many diff erent variants such as scan registration, deformable shape matchi ...

2011

Some estimates for h-p-k-refinement in isogeometric analysis

Annalisa Buffa

In this paper, we propose a theoretical study of the approximation properties of NURBS spaces, which are used in Isogeometric Analysis. We obtain error estimates that are explicit in terms of the mesh-size h, the degree p and the global regularity, measure ...

2011

Polygon Mesh Processing

Mark Pauly

Geometry processing, or mesh processing, is a fast-growing area of research that uses concepts from applied mathematics, computer science, and engineering to design efficient algorithms for the acquisition, reconstruction, analysis, manipulation, simulatio ...

A K Peters/CRC Press2010