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Reparameterizing Discontinuous Integrands for Differentiable Rendering

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State of the Art in Surface Reconstruction from Point Clouds

Andrea Tagliasacchi

The area of surface reconstruction has seen substantial progress in the past two decades. The traditional problem addressed by surface reconstruction is to recover the digital representation of a physical shape that has been scanned, where the scanned data ...

The Eurographics Association2014

High-contrast Computational Caustic Design

Mark Pauly, Andrea Tagliasacchi, Yuliy Gennadievich Schwartzburg, Romain Pierre Testuz

We present a new algorithm for computational caustic design. Our algorithm solves for the shape of a transparent object such that the refracted light paints a desired caustic image on a receiver screen. We introduce an optimal transport formulation to esta ...

ACM2014

Controlling caustics

Mark Pauly

Caustics are captivating light patterns created by materials focusing or diverting light by refraction or reflection. We know caustics as random side effects, appearing, for example, at the bottom of a swimming pool, or generated by many glass objects, lik ...

2013

Automatic Generation of Constructable Brick Sculptures

Mark Pauly, Yuliy Gennadievich Schwartzburg, Romain Pierre Testuz

Fabrication of LEGO models in large scale requires careful pre-planning to produce constructable and stable models. We propose a system that, starting with a voxelization of a 3D mesh, merges voxels to form larger bricks, and then analyzes and repairs stru ...

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

Effects of an Asymmetric Chamber on the Beam Coupling Impedance

Carlo Zannini, Giovanni Rumolo

The wake function of an accelerator device appears to have a constant term if the geometry of the device is asymmetric or when the beam passes off axis in a symmetric geometry. Its contribution can be significant and has to be taken into account. In this p ...

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

Representing complex urban geometries in mesoscale modeling

Darren Robinson, Alain Clappier, Adil Rasheed

Real cities are comprised of a diverse, random arrangement of building positions, shapes, and sizes. Yet most of the urban parameterisations thus far developed share the assumption that a city is made up of either a regular array of parallelepipeds or infi ...

2011

Drawing with Nanostencils on Flexible Substrates

Jürgen Brugger, Andreea Veronica Savu, Oliver Peric

Nanostencils are used in dynamic mode to pattern on top of flexible substrates. As the stencil is moving during the material evaporation, the obtained structures are the convolution between the stencil trajectory and the apertures’ geometry. Variable-thick ...

2011

Sensor array optimization for sources separation and detection in the at-worst determined case

Hervé Lissek, Xavier Falourd, Patrick Marmaroli

Most of the number of sources estimation techniques use the well-known signal-subspace approach in which the number of dominant sources is deduced regarding the multiplicity of the lowest eigenvalues of the correlation matrix. In the at-worst determined ca ...

2011