Search Results - Computational geometry Object modeling Curve surface solid and object representations~

BLENDING AND OFFSETTING SOLID MODELS (CAD/CAM, COMPUTATIONAL GEOMETRY, REPRESENTATIONS, CURVES, SURFACES, APPROXIMATION) by ROSSIGNAC, JAROSLAW ROMAN

“… These systems are called "solid modellers" and carry complete (i.e., unambiguous) representations of the modelled solids, from which the various properties of solids that are important in CAD/CAM can be computed automatically…”
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Taylor Prediction for Mesh Geometry Compression by Courbet, Clément, Hudelot, Céline

“…In this paper, we introduce a new formalism for mesh geometry prediction. We derive a class of smooth linear predictors from a simple approach based on the Taylor expansion of the mesh geometry function…”
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Feature-Preserving Surface Completion Using Four Points by Harary, Gur, Tal, Ayellet, Grinspun, Eitan

“… To overcome this problem, we let the user indicate constraints by providing merely four points per important feature curve on the mesh…”
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Semi-sharp Creases on Subdivision Curves and Surfaces by Kosinka, J., Sabin, M. A., Dodgson, N. A.

“…We explore a method for generalising Pixar semi‐sharp creases from the univariate cubic case to arbitrary degree subdivision curves…”
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Fiber Surfaces: Generalizing Isosurfaces to Bivariate Data by Carr, Hamish, Geng, Zhao, Tierny, Julien, Chattopadhyay, Amit, Knoll, Aaron

“… We report the first general purpose approach for the interactive extraction of geometric separating surfaces in bivariate fields…”
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Quaternion Julia Set Shape Optimization by Kim, Theodore

“…We present the first 3D algorithm capable of answering the question: what would a Mandelbrot‐like set in the shape of a bunny look like? More concretely, can…”
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Wavejets: A Local Frequency Framework for Shape Details Amplification by Béarzi, Yohann, Digne, Julie, Chaine, Raphaëlle

“… To enhance details, one needs an efficient analysis tool to express the local surface dynamics…”
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Scale Space Meshing of Raw Data Point Sets by Digne, Julie, Morel, Jean-Michel, Souzani, Charyar-Mehdi, Lartigue, Claire

“… The gain in visual accuracy is demonstrated on archaeological objects by comparison with several state of the art meshing methods…”
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3D Skeletons: A State-of-the-Art Report by Tagliasacchi, Andrea, Delame, Thomas, Spagnuolo, Michela, Amenta, Nina, Telea, Alexandru

“…Given a shape, a skeleton is a thin centered structure which jointly describes the topology and the geometry of the shape…”
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Semi-regular Quadrilateral-only Remeshing from Simplified Base Domains by Daniels II, Joel, Silva, Claudio T., Cohen, Elaine

“…Semi‐regular meshes describe surface models that exhibit a structural regularity that facilitates many geometric processing algorithms…”
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Localized Quadrilateral Coarsening by Daniels II, Joel, Silva, Claudio T., Cohen, Elaine

“… We describe a novel weighting scheme for automatic deletion selection that considers surface attributes, as well as localized queue updates that allow for improved data structures and computational…”
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Smoothing of Partition of Unity Implicit Surfaces for Noise Robust Surface Reconstruction by Nagai, Yukie, Ohtake, Yutaka, Suzuki, Hiromasa

“…We propose a novel method for smoothing partition of unity (PU) implicit surfaces consisting of sets of non…”
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Pseudo-Spline Subdivision Surfaces by Deng, Chongyang, Hormann, Kai

“…Pseudo‐splines provide a rich family of subdivision schemes with a wide range of choices that meet various demands for balancing the approximation power, the…”
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Coupled quasi-harmonic bases by Kovnatsky, A., Bronstein, M. M., Bronstein, A. M., Glashoff, K., Kimmel, R.

“…The use of Laplacian eigenbases has been shown to be fruitful in many computer graphics applications. Today, state‐of‐the‐art approaches to shape analysis,…”
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Semi-Regular Triangle Remeshing: A Comprehensive Study by Payan, F., Roudet, C., Sauvage, B.

“…Semi‐regular triangle remeshing algorithms convert irregular surface meshes into semi…”
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Planar Shape Detection and Regularization in Tandem by Oesau, Sven, Lafarge, Florent, Alliez, Pierre

“… The geometric modelling and processing of man‐made environments from measurement data often relies upon robust detection of planar primitive shapes…”
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Approximate Symmetry Detection in Partial 3D Meshes by Sipiran, Ivan, Gregor, Robert, Schreck, Tobias

“…Symmetry is a common characteristic in natural and man‐made objects. Its ubiquitous nature can be exploited to facilitate the analysis and processing of computational representations of real objects…”
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SSD: Smooth Signed Distance Surface Reconstruction by Calakli, F., Taubin, G.

“…We introduce a new variational formulation for the problem of reconstructing a watertight surface defined by an implicit equation, from a finite set of oriented points…”
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CubeCover- Parameterization of 3D Volumes by Nieser, M., Reitebuch, U., Polthier, K.

“…Despite the success of quad‐based 2D surface parameterization methods, effective parameterization algorithms for 3D volumes with cubes, i.e…”
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Isosurfaces Over Simplicial Partitions of Multiresolution Grids by Manson, Josiah, Schaefer, Scott

“…‐free from a function over an arbitrary octree. Our method samples the function dual to minimal edges, faces, and cells, and we show how to position those samples to reconstruct sharp and thin features of the surface…”
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