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Polygon Mesh Processing

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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

Shape-Up: Shaping Discrete Geometry with Projections

Mark Pauly, Sofien Bouaziz, Yuliy Gennadievich Schwartzburg, Mario Moacir Deuss

We introduce a uniﬁed optimization framework for geometry processing based on shape constraints. These constraints preserve or prescribe the shape of subsets of the points of a geometric data set, such as polygons, one-ring cells, volume elements, or featu ...

Wiley-Blackwell2012

Implicit Meshes for Effective Silhouette Handling

Pascal Fua, Mathieu Salzmann, Slobodan Ilic

Using silhouettes in uncontrolled environments typically requires handling occlusions as well as changing or cluttered backgrounds, which limits the applicability of most silhouette based methods. For the purpose of 3--D shape modeling, we show that repres ...

Springer Verlag2007

Geometric modeling based on triangle meshes

Mark Pauly

This course is designed to cover the entire geometry processing pipeline based on triangle meshes. We will present the latest concepts for mesh generation and mesh repair, for geometry and topology optimizations like mesh smoothing, decimation, and remeshi ...

2006

Implicit meshes

Slobodan Ilic

This thesis proposes novel ways both to represent the static surfaces, and to parameterize their deformations. This can be used both by automated algorithms for efficient 3–D shape reconstruction, and by graphics designers for editing and animation. Deform ...

EPFL2005

Real-Time Non-Rigid Surface Detection

Pascal Fua, Vincent Lepetit, Julien Pilet

We present a real-time method for detecting deformable surfaces, with no need whatsoever for a priori pose knowledge. Our method starts from a set of wide baseline point matches between an undeformed image of the object and the image in which it is to be d ...

2005

Data Hiding on 3D Polygonal Meshes

Touradj Ebrahimi

This paper presents a high-capacity method to embed information into the geometry of a 3D polygonal mesh. The method extends a previously reported work, to which several improvements have been brought. By construction, the new embedding algorithm is robust ...

ACM2004

Real-time non-rigid surface detection

Pascal Fua, Vincent Lepetit, Julien Pilet

2004

Non-linear subdivision of univariate signals and discrete surfaces

Nicolas Aspert

During the last 20 years, the joint expansion of computing power, computer graphics, networking capabilities and multiresolution analysis have stimulated several research domains, and developed the need for new types of data such as 3D models, i.e. discret ...

EPFL2003

Compression of 3D models with NURBS

Diego Santa Cruz Ducci

With recent progress in computing, algorithmics and telecommunications, 3D models are increasingly used in various multimedia applications. Examples include visualization, gaming, entertainment and virtual reality. In the multimedia domain 3D models have b ...

EPFL2003