Mixed Precision HODLR Matrices: Mixed precision HODLR matrices

Authors: Erin Carson, Xinye Chen, Xiaobo Liu

Contributors: Chen, Xinye

Source: SIAM Journal on Scientific Computing. 47:A1408-A1435

Subject Terms: hierarchical matrices, Hierarchical matrices, 65D18, Roundoff error, mixed precision computing, Analysis of algorithms and problem complexity, 65G50, 65F55, 68Q25, 65D18, 68Q25, Numerical methods for low-rank matrix approximation, matrix compression, matrix computations AMS subject classifications. 65G50, Numerical Analysis (math.NA), [INFO] Computer Science [cs], Hierarchical matrices mixed precision computing matrix computations AMS subject classifications. 65G50 65F55 68Q25 65D18, Numerical aspects of computer graphics, image analysis, and computational geometry, FOS: Mathematics, Mathematics - Numerical Analysis, matrix computations, 65F55

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Access URL: http://arxiv.org/abs/2407.21637
https://hal.science/hal-05066310v1
https://doi.org/10.1137/24m1683925
https://hal.science/hal-05066310v1/document

An Efficient Algorithm for the Riemannian Logarithm on the Stiefel Manifold for a Family of Riemannian Metrics: An efficient algorithm for the Riemannian logarithm on the Stiefel manifold for a family of Riemannian metrics

Authors: Simon Mataigne, Ralf Zimmermann, Nina Miolane

Contributors: UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique

Source: SIAM Journal on Matrix Analysis and Applications, Vol. 46, no.2, p. 879-905 (2025)

Subject Terms: Mathematics - Differential Geometry, Numerical optimization and variational techniques, Stiefel manifold, Methods of global Riemannian geometry, including PDE methods, curvature restrictions, Numerical Analysis (math.NA), Geodesics in global differential geometry, Riemannian logarithm, Differential Geometry (math.DG), Riemannian metric, Numerical aspects of computer graphics, image analysis, and computational geometry, Computer graphics, computational geometry (digital and algorithmic aspects), FOS: Mathematics, Mathematics - Numerical Analysis, Differential geometric aspects of statistical manifolds and information geometry, 15B10, 15B57, 53Z50, 65B99, 15A16, geodesic distance

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Access URL: http://arxiv.org/abs/2403.11730
https://hdl.handle.net/2078.1/300362
https://portal.findresearcher.sdu.dk/da/publications/5b3a47d2-29da-4b02-9e3e-17d86cbedbbe
https://doi.org/10.1137/24M1647801

A Preconditioned Version of a Nested Primal-Dual Algorithm for Image Deblurring: A preconditioned version of a nested primal-dual algorithm for image deblurring

Authors: Stefano Aleotti, Marco Donatelli, Rolf Krause, Giuseppe Scarlato

Source: Journal of Scientific Computing. 103

Subject Terms: ill-posed problems, Numerical optimization and variational techniques, convex optimization, Ill-posedness and regularization problems in numerical linear algebra, preconditioning, Numerical aspects of computer graphics, image analysis, and computational geometry, FOS: Mathematics, 65F22 (Primary) 65K10 (Secondary), Mathematics - Numerical Analysis, Numerical Analysis (math.NA), image deblurring

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Access URL: http://arxiv.org/abs/2409.13454

A symmetric ADMM-type algorithm for robust tensor completion problems using a regularized SCAD-Schatten-p model with application in color image and video recovery

Authors: Zhang, Zhechen, Liu, Sanyang, Liu, Lixia, Lin, Zhiping

Source: Journal of Computational and Applied Mathematics. 466:116604

Subject Terms: Numerical optimization and variational techniques, symmetric ADMM, Schatten-p norm, SCAD function, Numerical aspects of computer graphics, image analysis, and computational geometry, Multilinear algebra, tensor calculus, Numerical methods for low-rank matrix approximation, matrix compression, Nonconvex programming, global optimization, robust tensor completion, total variation regularization

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Access URL: https://zbmath.org/8031355
https://doi.org/10.1016/j.cam.2025.116604

Conjugate Gradient Normal Residual Method for Solving Quaternion Toeplitz-Type Linear Systems with Application to Color Image Processing: Conjugate gradient normal residual method for solving quaternion Toeplitz-type linear systems with application to color image processing

Authors: Baohua Huang, Zhigang Jia, Wen Li

Source: Journal of Scientific Computing. 103

Subject Terms: Iterative numerical methods for linear systems, quaternion Toeplitz-type linear systems, preconditioner, quaternion discrete Fourier transform, Toeplitz, Cauchy, and related matrices, Numerical aspects of computer graphics, image analysis, and computational geometry, quaternion conjugate gradient normal residual method

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Access URL: https://zbmath.org/8018365
https://doi.org/10.1007/s10915-025-02826-z

TRIPs-Py: Techniques for Regularization of Inverse Problems in Python: TRIPs-Py: techniques for regularization of inverse problems in Python

Authors: Pasha M., Gazzola S., Sanderford C., Ugwu U. O.

Contributors: Massachusetts Institute of Technology. Laboratory for Information and Decision Systems

Source: Numerical Algorithms. 99:285-322

Subject Terms: deblurring, software, sparsity, dynamic inverse problem, Krylov methods, edge-preserving, Numerical methods for integral equations, 01 natural sciences, regularization, Numerical aspects of computer graphics, image analysis, and computational geometry, inverse problem, computerized tomography, Mathematics - Numerical Analysis, 0101 mathematics, Computerized tomography, Deblurring, Dynamic inverse problem, Edge-preserving, Inverse problem, Python, Regularization, Software, Sparsity

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Access URL: http://arxiv.org/abs/2402.17603

Hemispheroidal parameterization and harmonic decomposition of simply connected open surfaces

Authors: Gary P.T. Choi, Mahmoud Shaqfa

Source: Journal of Computational and Applied Mathematics. 461:116455

Subject Terms: Computational Geometry (cs.CG), FOS: Computer and information sciences, simply connected open surfaces, Numerical Analysis (math.NA), shape representation, Graphics (cs.GR), Schwarz-Christoffel-type mappings, hemispheroidal parameterization, Computer Science - Graphics, Numerical aspects of computer graphics, image analysis, and computational geometry, FOS: Mathematics, Computer Science - Computational Geometry, harmonic decomposition, Mathematics - Numerical Analysis, hemispheroidal harmonics

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Access URL: http://arxiv.org/abs/2407.15417

Subspace diffusion posterior sampling for travel-time tomography

Authors: Xiang Cao, Xiaoqun Zhang

Source: Inverse Problems. 41:055010

Subject Terms: Finite difference methods for boundary value problems involving PDEs, nonlinear PDE-based inverse problems, Numerical solutions of ill-posed problems in abstract spaces, regularization, adjoint-state method, travel-time tomography, Numerical Analysis (math.NA), subspace diffusion generative models, score-based diffusion models, Mathematics - Analysis of PDEs, Numerical aspects of computer graphics, image analysis, and computational geometry, diffusion posterior sampling, FOS: Mathematics, Mathematics - Numerical Analysis, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2408.17333
https://zbmath.org/8036754
https://doi.org/10.1088/1361-6420/adcae2

A comparison of techniques to improve pulmonary EIT image resolution using a database of simulated EIT images

Authors: Kyler Howard, Chris Rocheleau, Trevor Overton, Joel Barraza Nava, Mason Faldet, Kristina Moen, Summer Soller, Tyler Stephens, Esther van de Lagemaat, Natalie Wijesinghe, Kaylee Wong Dolloff, Nilton Barbosa da Rosa, Jennifer L. Mueller

Source: Journal of Computational and Applied Mathematics. 460:116415

Subject Terms: Biomedical imaging and signal processing, inverse problems, Numerical aspects of computer graphics, image analysis, and computational geometry, deep learning, pulmonary imaging, electrical impedance tomography

File Description: application/xml

A General Non-Lipschitz Infimal Convolution Regularized Model: Lower Bound Theory and Algorithm: A general non-Lipschitz infimal convolution regularized model: Lower bound theory and algorithm

Authors: Chunlin Wu, Xueyan Guo, Yiming Gao, Yunhua Xue

Source: SIAM Journal on Imaging Sciences. 15:1499-1538

Subject Terms: non-Lipschitz regularization, image decomposition, lower bound theory, Methods involving semicontinuity and convergence, relaxation, support shrinking, 02 engineering and technology, Computing methodologies for image processing, Nonconvex programming, global optimization, 01 natural sciences, Numerical aspects of computer graphics, image analysis, and computational geometry, retinex, 0202 electrical engineering, electronic engineering, information engineering, infimal convolution, cartoon-texture decomposition, Image processing (compression, reconstruction, etc.) in information and communication theory, 0101 mathematics

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Access URL: https://zbmath.org/7596931
https://doi.org/10.1137/20m1356634

Solving the acousto-electric tomography by the adaptive Nesterov method of Kaczmarz type

Authors: Kai Zhu, Min Zhong

Source: Inverse Problems. 41:035007

Subject Terms: Biomedical imaging and signal processing, Numerical aspects of computer graphics, image analysis, and computational geometry, non-smooth penalty, iterative regularization, Numerical solution to inverse problems in abstract spaces, acousto-electric tomography

File Description: application/xml

Access URL: https://zbmath.org/7988277
https://doi.org/10.1088/1361-6420/adb3c4

Diffeomorphic Shape Matching by Operator Splitting in 3D Cardiology Imaging: Diffeomorphic shape matching by operator splitting in 3D cardiology imaging

Authors: Peng Zhang, Andreas Mang, Jiwen He, Robert Azencott, K. Carlos El-Tallawi, William A. Zoghbi

Source: Journal of Optimization Theory and Applications. 188:143-168

Subject Terms: Numerical optimization and variational techniques, Biomedical imaging and signal processing, 65K10 49M29 34H05 76D55, diffeomorphic matching, Numerical methods involving duality, 3. Good health, computational anatomy, Optimization and Control (math.OC), Numerical aspects of computer graphics, image analysis, and computational geometry, FOS: Mathematics, nonlinear control, Mathematics - Optimization and Control, operator splitting, variational calculus, Control problems involving ordinary differential equations

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Access URL: http://arxiv.org/pdf/2011.10165
http://arxiv.org/abs/2011.10165
https://zbmath.org/7350182
https://doi.org/10.1007/s10957-020-01789-5
https://www.scilit.net/article/d61cbd89f6fc1d230cf042d426e72b98?action=show-references
https://link.springer.com/article/10.1007/s10957-020-01789-5
https://dblp.uni-trier.de/db/journals/jota/jota188.html#ZhangMHAEZ21
https://scholars.houstonmethodist.org/en/publications/diffeomorphic-shape-matching-by-operator-splitting-in-3d-cardiolo

BrepMFR: Enhancing machining feature recognition in B-rep models through deep learning and domain adaptation: BrepMFR: enhancing machining feature recognition in B-rep models through deep learning and domain adaptation

Authors: Shuming Zhang, Zhidong Guan, Hao Jiang, Xiaodong Wang, Pingan Tan

Source: Computer Aided Geometric Design. 111:102318

Subject Terms: boundary representation, domain adaptation, Numerical aspects of computer graphics, image analysis, and computational geometry, deep learning, graph neural network, machining feature recognition, Artificial neural networks and deep learning

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Representing implicit surfaces satisfying Lipschitz conditions by 4-dimensional point sets

Authors: Ke Yan, Ho-Lun Cheng, Jing Huang

Source: Applied Mathematics and Computation. 354:42-57

Subject Terms: Computer-aided design (modeling of curves and surfaces), weighted point, surface reconstruction, Numerical aspects of computer graphics, image analysis, and computational geometry, Computer graphics, computational geometry (digital and algorithmic aspects), alpha shape, 0202 electrical engineering, electronic engineering, information engineering, 0102 computer and information sciences, 02 engineering and technology, 01 natural sciences, point cloud

File Description: application/xml

Access URL: https://dblp.uni-trier.de/db/journals/amc/amc354.html#YanCH19
https://www.sciencedirect.com/science/article/abs/pii/S0096300319301298
https://ideas.repec.org/a/eee/apmaco/v354y2019icp42-57.html
https://doi.org/10.1016/j.amc.2019.02.025

A fast algorithm for computing irreducible triangulations of closed surfaces in Ed: A fast algorithm for computing irreducible triangulations of closed surfaces in \(\mathbb{E}^d\)

Authors: Suneeta Ramaswami, Marcelo Siqueira

Source: Computational Geometry. 68:327-357

Subject Terms: Computational Geometry (cs.CG), FOS: Computer and information sciences, Geometric Topology (math.GT), 0102 computer and information sciences, 7. Clean energy, 01 natural sciences, Planar graphs, geometric and topological aspects of graph theory, Mathematics - Geometric Topology, 13. Climate action, Numerical aspects of computer graphics, image analysis, and computational geometry, Graph theory (including graph drawing) in computer science, 05C10, 68U05, Computer Science - Data Structures and Algorithms, FOS: Mathematics, irreducible triangulations, Computer Science - Computational Geometry, Data Structures and Algorithms (cs.DS), 0101 mathematics, edge contractions

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Access URL: https://www.sciencedirect.com/science/article/am/pii/S0925772117300408
http://arxiv.org/abs/1409.6015
https://zbmath.org/6840495
https://doi.org/10.1016/j.comgeo.2017.05.007
https://dblp.uni-trier.de/db/journals/corr/corr1409.html#RamaswamiS14
https://www.sciencedirect.com/science/article/pii/S0925772117300408
https://www.researchwithrutgers.com/en/publications/a-fast-algorithm-for-computing-irreducible-triangulations-of-clos
https://ui.adsabs.harvard.edu/abs/2014arXiv1409.6015R/abstract
https://www.researchwithnj.com/en/publications/a-fast-algorithm-for-computing-irreducible-triangulations-of-clos

Constructing local controlled developable H-Bézier surfaces by interpolating characteristic curves

Authors: Gang Hu, Junli Wu, Xiaofeng Wang

Source: Computational and Applied Mathematics. 40

Subject Terms: shape parameter, 0209 industrial biotechnology, line of curvature, 02 engineering and technology, generalized H-Bézier curves, Numerical computation using splines, Computer science aspects of computer-aided design, developable surface interpolation, Computer-aided design (modeling of curves and surfaces), Numerical aspects of computer graphics, image analysis, and computational geometry, Computer graphics, computational geometry (digital and algorithmic aspects), Numerical smoothing, curve fitting, 0202 electrical engineering, electronic engineering, information engineering, geodesic

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/s40314-021-01587-3

Accelerating smooth molecular surface calculation

Authors: Ke Yan, Ho-Lun Cheng, Zhiwei Ji, Xin Zhang, Huijuan Lu

Source: Journal of Mathematical Biology. 76:779-793

Subject Terms: Models, Molecular, 0301 basic medicine, quadratic patch, 0303 health sciences, Bézier curve, molecular modeling, Surface Properties, 4. Education, topological disk, Molecular Conformation, Physiological, cellular and medical topics, Computational Biology, Mathematical Concepts, Molecular Dynamics Simulation, Molecular Docking Simulation, Computer-aided design (modeling of curves and surfaces), 03 medical and health sciences, molecular skin surface, Numerical aspects of computer graphics, image analysis, and computational geometry, Drug Design, Computer graphics, computational geometry (digital and algorithmic aspects), Solvents, Algorithms, Geometric methods (including applications of algebraic geometry) applied to coding theory

File Description: application/xml

Access URL: https://pubmed.ncbi.nlm.nih.gov/28689219
https://zbmath.org/6837455
https://doi.org/10.1007/s00285-017-1156-z
https://www.ncbi.nlm.nih.gov/pubmed/28689219
https://rd.springer.com/article/10.1007/s00285-017-1156-z
https://link.springer.com/article/10.1007%2Fs00285-017-1156-z
https://link.springer.com/10.1007/s00285-017-1156-z
https://pubmed.ncbi.nlm.nih.gov/28689219/

Interactive mesh cutting with Laplace coordinates and gradient

Authors: Bin Liu, Xiuping Liu, Weiming Wang, Junjie Cao

Source: Communications in Information and Systems. 17:65-83

Subject Terms: Numerical aspects of computer graphics, image analysis, and computational geometry, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology

File Description: application/xml

Access URL: https://zbmath.org/6918265
https://doi.org/10.4310/cis.2017.v17.n2.a1
https://dblp.uni-trier.de/db/journals/cominfsys/cominfsys17.html#LiuWCL17

AONN-2: An adjoint-oriented neural network method for PDE-constrained shape optimization: AONN-2: an adjoint-oriented neural network method for PDE-constrained shape optimization

Authors: Xili Wang, Pengfei Yin, Bo Zhang, Chao Yang

Source: Journal of Computational Physics. 513:113160

Subject Terms: Numerical optimization and variational techniques, Optimization of shapes other than minimal surfaces, Optimization and Control (math.OC), Numerical aspects of computer graphics, image analysis, and computational geometry, shape optimization, direct-adjoint looping, deep neural network, FOS: Mathematics, PDE-constrained optimization, PDE constrained optimization (numerical aspects), Mathematics - Optimization and Control, mesh-free

File Description: application/xml

Access URL: http://arxiv.org/abs/2309.08388

Algorithm 951: Cayley Analysis of Mechanism Configuration Spaces using CayMos: Software Functionalities and Architecture

Authors: Meera Sitharam, Menghan Wang

Source: ACM Transactions on Mathematical Software. 41:1-8

Subject Terms: Computer-aided design (modeling of curves and surfaces), Numerical aspects of computer graphics, image analysis, and computational geometry, 0202 electrical engineering, electronic engineering, information engineering, Packaged methods for numerical algorithms, motion space, 1-degree-of-freedom linkage, 0102 computer and information sciences, 02 engineering and technology, realization space, 16. Peace & justice, computer-aided design (CAD), 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/6642869
https://doi.org/10.1145/2699462