A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing

@inproceedings{CohenOr2015ASO,
  title={A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing},
  author={Daniel Cohen-Or and Chen Greif and Tao Ju and Niloy Jyoti Mitra and Hao Zhang},
  year={2015}
}
A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing shows how to use a collection of mathematical techniques to solve important problems in applied mathematics and computer science areas. The book discusses fundamental tools in analytical geometry and linear algebra. It covers a wide range of topics, from matrix decomposition to curvature analysis and principal component analysis to dimensionality reduction. Written by a team of highly respected… 
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12 Citations
Highly Influential Citations
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Background Citations
5
Methods Citations
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12 Citations

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  • Computer Science
    Lecture Notes on Data Engineering and Communications Technologies
  • 2021
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The accuracy of the detection algorithm provides a basis for the application of pattern recognition and the artificial neural network has the highest recognition rate, the data has the best performance when the data is 500.
Symmetries of discrete curves and point clouds via trigonometric interpolation
Neighbor Reweighted Local Centroid for Geometric Feature Identification.
TLDR
This paper proposes a novel neighbor reweighted local centroid (NRLC) computational algorithm to identify geometric features for point cloud models and introduces a pair of feature operators, including assimilation and dissimilation, to further strengthen the identified geometric features.
Approach to Analysis the Surface Geometry Change in Cultural Heritage Objects
TLDR
The main goal of this work is to develop analysis, and visualization methods for CH object to assess local change in their surface geometry to support conservation processes documentation.
Assisted color acquisition for 3D models
Centerline-based surface modeling of blood-vessel trees in cerebral 3D MRA
TLDR
Algorithms for modeling the vessel tree surface discontinuities in places where the vessels do not feature the assumed elongated shape, e.g. at bifurcations and intensity artefacts are proposed.
Synthesizing the Roughness of Textured Surfaces for an Encountered-Type Haptic Display Using Spatiotemporal Encoding
TLDR
A novel texture synthesizing method for an encountered-type haptic display using spatial and temporal encoding of roughness, which provides both active and passive touch sensation requiring no complicated tactile actuation.
ARPilot: designing and investigating AR shooting interfaces on mobile devices for drone videography
TLDR
ARPilot is presented, a direct-manipulation interface that lets users plan an aerial video by physically moving their mobile devices around a miniature 3D model of the scene, shown via Augmented Reality (AR).
Monocular 3D reconstruction of sail flying shape using passive markers
TLDR
This work presents a method to recover the 3D flying shape of a sail using passive markers, and presents feedback from domain experts who evaluated the results and confirmed the usefulness and quality of the reconstructed shape.
Tooth segmentation and gingival tissue deformation framework for 3D orthodontic treatment planning and evaluating
TLDR
The proposed tooth segmentation and gingival tissue deformation simulation framework is shown to be effective and has good practicability, but accurate quantitative analysis based on clinical results is still an open problem in this study.
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