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

Inverse Procedural Modeling by Automatic Generation of L-systems by Št'ava, O., Beneš, B., Měch, R., Aliaga, D. G., Krištof, P.

“… The algorithm takes as input a 2D vector image that is composed of atomic elements, such as curves and poly‐lines…”
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Design Transformations for Rule‐based Procedural Modeling by Lienhard, Stefan, Lau, Cheryl, Müller, Pascal, Wonka, Peter, Pauly, Mark

“… Second, we propose an algorithm to jointly derive two or more grammars, called grammar co‐derivation…”
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Soft Folding by Zhu, L., Igarashi, T., Mitani, J.

“… This algorithm computes an approximation of 3D developable…”
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Centroidal Voronoi Tessellation of Line Segments and Graphs by Lu, Lin, Lévy, Bruno, Wang, Wenping

“…Centroidal Voronoi Tessellation (CVT) of points has many applications in geometry processing, including re…”
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Generalized Discrete Ricci Flow by Yang, Yong-Liang, Guo, Ren, Luo, Feng, Hu, Shi-Min, Gu, Xianfeng

“… Discrete surface Ricci flow has been broadly applied for surface parameterization, shape analysis, and computational topology…”
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Elmar Langetepe Gabriel Zachmann An enjoyable introduction to computational geometry Geometric data structures for computer graphics 2006 AK Peters Ltd. 1-56881-235-3 369 $ 59.00 by Paoluzzi, Alberto

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Book Review: Helmut Ratschek and Jon Rokne, Geometric Computations with Interval and New Robust Methods. Applications in Computer Graphics, GIS and Computational Geometry by Alefeld, G.

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Fast and Robust Approximation of Smallest Enclosing Balls in Arbitrary Dimensions by Larsson, Thomas, Källberg, Linus

“…In this paper, an algorithm is introduced that computes an arbitrarily fine approximation of the smallest enclosing ball of a point set in any dimension…”
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On the shape of a set of points and lines in the plane by van Kreveld, M., van Lankveld, T., Veltkamp, R. C.

“… In urban scenes, the individual surfaces can be reconstructed and connected to form the scene geometry…”
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Watertight Scenes from Urban LiDAR and Planar Surfaces by van Kreveld, M., van Lankveld, T., Veltkamp, R. C.

“…The demand for large geometric models is increasing, especially of urban environments. This has resulted in production of massive point cloud data from images…”
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Interactive Cover Design Considering Physical Constraints by Igarashi, Yuki, Igarashi, Takeo, Suzuki, Hiromasa

“…‐dimensional (3D) object such as a camera, teapot, or car. The system first computes the convex hull of the input geometry…”
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Poisson-based tools for flow visualization by Martinez Esturo, Janick, Schulze, Maik, Ross, Christian, Theisel, Holger

“… We show how the same gradient-based computational framework can be applied to obtain parametrizations of flow-aligned surfaces…”
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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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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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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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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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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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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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