Search Results - I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling-Geometric algorithms~

Stable Topological Signatures for Points on 3D Shapes by Carrière, Mathieu, Oudot, Steve Y., Ovsjanikov, Maks

“… However, the vast majority of these descriptors concentrate on the local geometry of the shape around the point, and thus are insensitive to its connectivity structure…”
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Quad-Mesh Generation and Processing: A Survey by Bommes, David, Lévy, Bruno, Pietroni, Nico, Puppo, Enrico, Silva, Claudio, Tarini, Marco, Zorin, Denis

“…Triangle meshes have been nearly ubiquitous in computer graphics, and a large body of data structures and geometry processing algorithms based on them has been developed in the literature…”
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Sparse Iterative Closest Point by Bouaziz, Sofien, Tagliasacchi, Andrea, Pauly, Mark

“… Most commonly, variants of the Iterative Closest Point (ICP) algorithm are employed for this task…”
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gProximity: Hierarchical GPU-based Operations for Collision and Distance Queries by Lauterbach, C., Mo, Q., Manocha, D.

“…We present novel parallel algorithms for collision detection and separation distance computation for rigid and deformable models that exploit the computational capabilities of many‐core GPUs…”
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Guided Mesh Normal Filtering by Zhang, Wangyu, Deng, Bailin, Zhang, Juyong, Bouaziz, Sofien, Liu, Ligang

“…The joint bilateral filter is a variant of the standard bilateral filter, where the range kernel is evaluated using a guidance signal instead of the original…”
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A Multiscale Approach to Optimal Transport by Merigot, Quentin

“…In this paper, we propose an improvement of an algorithm of Aurenhammer, Hoffmann and Aronov to find a least square matching between a probability density and finite set of sites with mass constraints…”
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Hierarchical Multiview Rigid Registration by Tang, Yizhi, Feng, Jieqing

“…Registration is a key step in the 3D reconstruction of real‐world objects. In this paper, we propose a hierarchical method for the rigid registration of multiple views…”
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Shape-Up: Shaping Discrete Geometry with Projections by Bouaziz, Sofien, Deuss, Mario, Schwartzburg, Yuliy, Weise, Thibaut, Pauly, Mark

“…We introduce a unified optimization framework for geometry processing based on shape constraints…”
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Freeform Honeycomb Structures by Jiang, Caigui, Wang, Jun, Wallner, Johannes, Pottmann, Helmut

“…Motivated by requirements of freeform architecture, and inspired by the geometry of hexagonal combs in beehives, this paper addresses torsion…”
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Efficient Volumetric PolyCube-Map Construction by Fu, Xiao-Ming, Bai, Chong-Yang, Liu, Yang

“…PolyCubes provide compact representations for closed complex shapes and are essential to many computer graphics applications…”
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Remeshing-assisted Optimization for Locally Injective Mappings by Jin, Y., Huang, J., Tong, R.

“…‐free relaxation enhanced geometry optimization, and then use edge‐flip operations to reduce the residual and keep a reasonable condition number for better convergence…”
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Sets of Globally Optimal Stream Surfaces for Flow Visualization by Schulze, M., Esturo, J. Martinez, Günther, T., Rössl, C., Seidel, H.-P., Weinkauf, T., Theisel, H.

“…Stream surfaces are a well‐studied and widely used tool for the visualization of 3D flow fields. Usually, stream surface seeding is carried out manually in…”
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On Variational and PDE-Based Distance Function Approximations by Belyaev, Alexander G., Fayolle, Pierre-Alain

“…In this paper, we deal with the problem of computing the distance to a surface (a curve in two dimensional) and consider several distance function…”
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Learning 3D Deformation of Animals from 2D Images by Kanazawa, Angjoo, Kovalsky, Shahar, Basri, Ronen, Jacobs, David

“…Understanding how an animal can deform and articulate is essential for a realistic modification of its 3D model. In this paper, we show that such information…”
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An Algorithm for Random Fractal Filling of Space by Shier, John, Bourke, Paul

“…Computational experiments with a simple algorithm show that it is possible to fill any spatial region with a random fractalization of any shape, with a continuous range of pre…”
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Computing Extremal Quasiconformal Maps by Weber, Ofir, Myles, Ashish, Zorin, Denis

“…Conformal maps are widely used in geometry processing applications. They are smooth, preserve angles, and are locally injective by construction…”
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Geosemantic Snapping for Sketch-Based Modeling by Shtof, A., Agathos, A., Gingold, Y., Shamir, A., Cohen-Or, D.

“…Modeling 3D objects from sketches is a process that requires several challenging problems including segmentation, recognition and reconstruction…”
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Polycube Simplification for Coarse Layouts of Surfaces and Volumes by Cherchi, Gianmarco, Livesu, Marco, Scateni, Riccardo

“…Representing digital objects with structured meshes that embed a coarse block decomposition is a relevant problem in applications like computer animation, physically…”
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Mesh Snapping: Robust Interactive Mesh Cutting Using Fast Geodesic Curvature Flow by Zhang, Juyong, Wu, Chunlin, Cai, Jianfei, Zheng, Jianmin, Tai, Xue-cheng

“…This paper considers the problem of interactively finding the cutting contour to extract components from a given mesh. Some existing methods support cuts of…”
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Mesh Statistics for Robust Curvature Estimation by Váša, L., Vaněček, P., Prantl, M., Skorkovská, V., Martínek, P., Kolingerová, I.

“…While it is usually not difficult to compute principal curvatures of a smooth surface of sufficient differentiability, it is a rather difficult task when only…”
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