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We present an image recovery approach to improve amplitude and phase reconstruction from single shot digital holograms, using iterative reconstruction with alternating updates. This approach allows the flexibility to apply different priors…

Optics · Physics 2016-10-04 Dennis J. Lee , Charles A. Bouman , Andrew M. Weiner

This paper contains a review of available methods for establishing improved interpolation inequalities on the sphere for subcritical exponents. Pushing further these techniques we also establish some new results, clarify the range of…

Analysis of PDEs · Mathematics 2014-01-30 Jean Dolbeault , Maria J. Esteban , Michal Kowalczyk , Michael Loss

In this paper, a new extrapolation economy cascadic multigrid method is proposed to solve the image restoration model. The new method combines the new extrapolation formula and quadratic interpolation to design a nonlinear prolongation…

Numerical Analysis · Mathematics 2023-11-07 Zhaoteng Chu , Ziqi Yan , Chenliang Li

Inpainting based image compression approaches, especially linear and non-linear diffusion models, are an active research topic for lossy image compression. The major challenge in these compression models is to find a small set of…

Computer Vision and Pattern Recognition · Computer Science 2014-05-12 Yunjin Chen , René Ranftl , Thomas Pock

Deep learning based methods have penetrated many image processing problems and become dominant solutions to these problems. A natural question raised here is "Is there any space for conventional methods on these problems?" In this paper,…

Image and Video Processing · Electrical Eng. & Systems 2020-11-30 Chaobing Zheng , Zhengguo Li , Shiqian Wu

Nonlinear lens distortion rectification is a common first step in image processing applications where the assumption of a linear camera model is essential. For rectifying the lens distortion, forward distortion model needs to be known.…

Computer Vision and Pattern Recognition · Computer Science 2017-07-05 Burak Benligiray , Cihan Topal

In this paper, we introduce a new method for solving variational inequality problems with monotone and Lipschitz-continuous mapping in Hilbert space. The iterative process is based on two well-known projection method and the hybrid (or…

Optimization and Control · Mathematics 2015-01-30 Yu. V. Malitsky , V. V. Semenov

We propose an extrapolation technique that allows accuracy improvement of the discrete dipole approximation computations. The performance of this technique was studied empirically based on extensive simulations for 5 test cases using many…

Optics · Physics 2008-07-29 Maxim A. Yurkin , Valeri P. Maltsev , Alfons G. Hoekstra

There are many methods for image enhancement. Image inpainting is one of them which could be used in reconstruction and restoration of scratch images or editing images by adding or removing objects. According to its application, different…

Image and Video Processing · Electrical Eng. & Systems 2019-11-05 Zahra Nabizadeh , Ghazale Ghorbanzade , Nader Karimi , Shadrokh Samavi

Exposure correction is one of the fundamental tasks in image processing and computational photography. While various methods have been proposed, they either fail to produce visually pleasing results, or only work well for limited types of…

Computer Vision and Pattern Recognition · Computer Science 2019-10-31 Qing Zhang , Yongwei Nie , Wei-Shi Zheng

In this paper, we present an approach to enhance interpolation and approximation error estimates. Based on a previously derived first-order Taylor-like formula, we demonstrate its applicability in improving the $P_1$-interpolation error…

Numerical Analysis · Mathematics 2023-10-31 Joel Chaskalovic , Franck Assous

The objective of this work is to deblur face videos. We propose a method that tackles this problem from two directions: (1) enhancing the blurry frames, and (2) treating the blurry frames as missing values and estimate them by…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Phong Tran , Anh Tran , Thao Nguyen , Minh Hoai

Real-world stereo image super-resolution has a significant influence on enhancing the performance of computer vision systems. Although existing methods for single-image super-resolution can be applied to improve stereo images, these methods…

Image and Video Processing · Electrical Eng. & Systems 2023-12-14 Yuanbo Zhou , Yuyang Xue , Jiang Bi , Wenlin He , Xinlin Zhang , Jiajun Zhang , Wei Deng , Ruofeng Nie , Junlin Lan , Qinquan Gao , Tong Tong

A novel algorithm is proposed for the interpolation step of the Guruswami-Sudan list decoding algorithm. The proposed method is based on the binary exponentiation algorithm, and can be considered as an extension of the Lee-O'Sullivan…

Information Theory · Computer Science 2016-11-18 Peter Trifonov

Iterative projection algorithms are successfully being used as a substitute of lenses to recombine, numerically rather than optically, light scattered by illuminated objects. Images obtained computationally allow aberration-free…

Optics · Physics 2007-05-23 S. Marchesini

We propose new linear combinations of compositions of a basic second-order scheme with appropriately chosen coefficients to construct higher order numerical integrators for differential equations. They can be considered as a generalization…

Numerical Analysis · Mathematics 2024-04-25 Sergio Blanes , Fernando Casas , Luke Shaw

This paper proposes a simple yet effective interpolation-based data augmentation approach termed DoubleMix, to improve the robustness of models in text classification. DoubleMix first leverages a couple of simple augmentation operations to…

Computation and Language · Computer Science 2022-09-13 Hui Chen , Wei Han , Diyi Yang , Soujanya Poria

Video interpolation is an important problem in computer vision, which helps overcome the temporal limitation of camera sensors. Existing video interpolation methods usually assume uniform motion between consecutive frames and use linear…

Computer Vision and Pattern Recognition · Computer Science 2019-11-05 Xiangyu Xu , Li Siyao , Wenxiu Sun , Qian Yin , Ming-Hsuan Yang

Current state-of-the-art discrete optimization methods struggle behind when it comes to challenging contrast-enhancing discrete energies (i.e., favoring different labels for neighboring variables). This work suggests a multiscale approach…

Computer Vision and Pattern Recognition · Computer Science 2012-11-05 Shai Bagon , Meirav Galun

This article presents a class of new relaxation modulus-based iterative methods to process the large and sparse implicit complementarity problem (ICP). Using two positive diagonal matrices, we formulate a fixed-point equation and prove that…

Optimization and Control · Mathematics 2023-06-07 Bharat Kumar , Deepmala , A. K. Das