On the continuity of images by transmission imaging

Keywords

Transmission (telecommunications), Mathematical analysis, Mathematics, Computer science, Telecommunications

References

• Recent Developments in Total Variation Image RestorationTony F. Chan, Selim Esedoḡlu, F. Park — 2004
• Three-Dimensional Electron Microscopy of Macromolecular AssembliesJoachim Frank — 2006
• Mathematical problems in image processing - partial differential equations and the calculus of variationsGilles Aubert, Pierre Kornprobst — 2010
• A review of wavelets in biomedical applicationsMichaël Unser, Akram Aldroubi — 1996
• An optimized locally adaptive non-local means denoising filter for cryo-electron microscopy data.Dai-Yu Wei, Changcheng Yin — 2010
• A New Alternating Minimization Algorithm for Total Variation Image ReconstructionYilun Wang, Junfeng Yang, Wotao Yin — 2008
• A fourth order dual method for staircase reduction in texture extraction and image restoration problemsTony F. Chan, Selim Esedoḡlu, Frederick Park — 2010
• Image Reconstruction From ProjectionsRichard Gordon, Gábor T. Herman, Steven A. Johnson — 1975
• A Nonlinear Primal-Dual Method for Total Variation-Based Image RestorationTony F. Chan, Gene H. Golub, Pep Mulet — 1999
• Higher-Order TV Methods—Enhancement via Bregman IterationMartin Benning, Christoph Brüne, Martin Burger — 2012
• Variational Methods on the Space of Functions of Bounded Hessian for Convexification and DenoisingW. Hinterberger, Otmar Scherzer — 2005
• Total Generalized VariationKristian Bredies, Karl Kunisch, Thomas Pock — 2010
• Affine Invariant Flows in the Beltrami FrameworkNir Sochen — 2004
• A new median formula with applications to PDE based denoisingYingying Li, Yingying Li, Stanley Osher — 2009
• A Note on the Dual Treatment of Higher-Order Regularization FunctionalsGabriele Steidl — 2005
• The discriminative bilateral filter: an enhanced denoising filter for electron microscopy data.Radosav Pantelic, Rosalba Rothnagel, Chang‐Yi Huang — 2006
• Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order ModelsChunlin Wu, Xue‐Cheng Tai — 2010
• Augmented Lagrangian and Operator-Splitting Methods in Nonlinear MechanicsJ. Tinsley Oden, Roland Glowinski, Patrick Le Tallec — 1987
• Principles of computerized tomographic imagingAvinash C. Kak, Malcolm Slaney — 2001
• High-Order Total Variation-Based Image RestorationTony F. Chan, Antonio Marquina, Pep Mulet — 2000

Cited by

• The Continuity of Images by Transmission Imaging RevisitedZhitao Fan, Feng Guan, Chunlin Wu — 2014
• Partial Differential Equation Methods for Image InpaintingCarola‐Bibiane Schönlieb — 2015
• Edge Information Diffusion-Based Reconstruction for Cone Beam Computed LaminographyYunsong Zhao, Jinqiu Xu, Hongwei Li — 2018
• Projection data smoothing through noise-level weighted total variation regularization for low-dose computed tomographyXiaojuan Deng, Yunsong Zhao, H. Li — 2019
• Ring Artifacts Removal Based on Implicit Neural Representation of Sinogram DataLigen Shi, Xu Jiang, Liu, YunZe — 2024
• Ring Artifacts Correction Based on Global–Local Feature Interaction Guidance in the Projection DomainC.C. Su, Yunze Liu, Ping Yang — 2025
• Feature Decoupling Through Random Sampling for High-Fidelity Flow Matching-Based Artifact RemovalMenglei Li, Genwei Ma, Yining Zhu — 2026
• Ring Artifacts Correction Based on Global-Local Features Interaction Guidance in the Projection DomainYunze Liu, C.C. Su, Xing Zhao — 2025
• TGV sinogram inpainting for limited angle tomographyMartin Benning, Christoph Brune, Rien Lagerwerf — 2014

Related papers

• Primärzerlegung in Steinschen AlgebrenOtto Förster — 1964
• Über unirationale Scharen auf algebraischen MannigfaltigkeitenLudwig Reich — 1966
• Algebraic Set Operations, Multifunctions, and Indefinite IntegralsMilan V. Jovanović, Veselin Jungić — 1996
• On Almost α(Λ, sp)-continuous MultifunctionsChawalit Boonpok, Jeeranunt Khampakdee — 2022
• Produkttreue Klassen universeller AlgebrenJürgen Timm — 1969
• Approximation of fixed points of multifunctions in partial metric spacesDaniela Paesano — 2015
• The World of Jagdish N. SrivastavaSubir Ghosh, Sudhir Gupta, Rahul Mukerjee — 2013
• Hardy spaces of analytic multifunctions.Jonas Avelin — 1997
• The equivalence of uninorms induced by the U-partial orderEmel Aşıcı — 2019
• Kennzeichnung derp-adischen und der endlichen algebraischen ZahlkörperJ�rgen Neukirch — 1969