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A new kind of geometric invariants is proposed in this paper, which is called affine weighted moment invariant (AWMI). By combination of local affine differential invariants and a framework of global integral, they can more effectively…

Computer Vision and Pattern Recognition · Computer Science 2017-06-20 Hanlin Mo , You Hao , Shirui Li , Hua Li

Scattering of light in complex media scrambles optical wavefronts and breaks the principles of conventional imaging methods. For decades, researchers have endeavored to conquer the problem by inventing approaches such as adaptive optics,…

Full waveform inversion (FWI) commonly stands for the state-of-the-art approach for imaging subsurface structures and physical parameters, however, its implementation usually faces great challenges, such as building a good initial model to…

Geophysics · Physics 2023-04-05 Jian Sun , Kristopher Innanen

We propose an automatic video inpainting algorithm which relies on the optimisation of a global, patch-based functional. Our algorithm is able to deal with a variety of challenging situations which naturally arise in video inpainting, such…

Computer Vision and Pattern Recognition · Computer Science 2017-12-08 Alasdair Newson , Andrés Almansa , Matthieu Fradet , Yann Gousseau , Patrick Pérez

Recent deep learning based image inpainting methods which utilize contextual information and two-stage architecture have exhibited remarkable performance. However, the two-stage architecture is time-consuming, the contextual information…

Computer Vision and Pattern Recognition · Computer Science 2019-12-19 Hongyu Liu , Bin Jiang , Wei Huang , Chao Yang

The integral image, an intermediate image representation, has found extensive use in multi-scale local feature detection algorithms, such as Speeded-Up Robust Features (SURF), allowing fast computation of rectangular features at constant…

Computer Vision and Pattern Recognition · Computer Science 2015-10-20 Shoaib Ehsan , Adrian F. Clark , Naveed ur Rehman , Klaus D. McDonald-Maier

Image inpainting, the task of reconstructing missing segments in corrupted images using available data, faces challenges in ensuring consistency and fidelity, especially under information-scarce conditions. Traditional evaluation methods,…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 Tianyi Chen , Jianfu Zhang , Yan Hong , Yiyi Zhang , Liqing Zhang

We consider a class of quasi-variational inequalities (QVIs) for adaptive image restoration, where the adaptivity is described via solution-dependent constraint sets. In previous work we studied both theoretical and numerical issues. While…

Optimization and Control · Mathematics 2014-07-04 Frank Lenzen , Jan Lellmann , Florian Becker , Christoph Schnörr

Hyperspectral images are typically composed of hundreds of narrow and contiguous spectral bands, each containing information about the material composition of the imaged scene. However, these images can be affected by various sources of…

Image and Video Processing · Electrical Eng. & Systems 2023-06-16 Shuo Li , Mehrdad Yaghoobi

In recent years inpainting-based compression methods have been shown to be a viable alternative to classical codecs such as JPEG and JPEG2000. Unlike transform-based codecs, which store coefficients in the transform domain, inpainting-based…

Image and Video Processing · Electrical Eng. & Systems 2024-01-15 Niklas Kämper , Vassillen Chizhov , Joachim Weickert

We propose a bivariate quantile regression method for the bivariate varying coefficient model through a directional approach. The varying coefficients are approximated by the B-spline basis and an $L_{2}$ type penalty is imposed to achieve…

Methodology · Statistics 2015-11-10 Linglong Kong , Haoxu Shu , Giseon Heo , Qianchuan Chad He

3D image processing constitutes nowadays a challenging topic in many scientific fields such as medicine, computational physics and informatics. Therefore, development of suitable tools that guaranty a best treatment is a necessity.…

Numerical Analysis · Computer Science 2018-05-22 Malika Jallouli , Wafa Bel Hadj Khalifa , Anouar Ben Mabrouk , Mohamed Ali Mahjoub

Computational image reconstruction algorithms generally produce a single image without any measure of uncertainty or confidence. Regularized Maximum Likelihood (RML) and feed-forward deep learning approaches for inverse problems typically…

Machine Learning · Computer Science 2020-12-18 He Sun , Katherine L. Bouman

In this paper, we use a straightforward numerical method to solve scattering models in one-dimensional lattices based on a tight-binding band structure. We do this by using the wave packet approach to scattering, which presents a more…

Physics Education · Physics 2022-07-06 M. Staelens , F. Marsiglio

Scattering in complex media scrambles light, thus obscuring images and limiting applications from astronomy to microscopy. Existing computational and wavefront-shaping methods treat scattering as a linear optical-wave inversion problem that…

Quantum Physics · Physics 2026-03-18 Chloé Vernière , Raphaël Guitter , Baptiste Courme , Hugo Defienne

Used in the paper is an overcomplete piecewise-polynomial image model incorporating sparsity. The paper shows that using such a model, the edges in the image can be resolved robustly with respect to noise. Two variants of the proposed…

Optimization and Control · Mathematics 2018-10-16 Michaela Novosadová , Pavel Rajmic

Objective. Limited access to breast cancer diagnosis globally leads to delayed treatment. Ultrasound, an effective yet underutilized method, requires specialized training for sonographers, which hinders its widespread use. Approach. Volume…

Image and Video Processing · Electrical Eng. & Systems 2023-11-21 Donya Khaledyan , Thomas J. Marini , Avice OConnell , Steven Meng , Jonah Kan , Galen Brennan , Yu Zhao , Timothy M. Baran , Kevin J. Parker

The art of recovering an image from damage in an undetectable form is known as inpainting. The manual work of inpainting is most often a very time consuming process. Due to digitalization of this technique, it is automatic and faster. In…

Computer Vision and Pattern Recognition · Computer Science 2013-07-15 S. Padmavathi , N. Archana , K. P. Soman

The Maximum Weight Independent Set of Polygons problem is a fundamental problem in computational geometry. Given a set of weighted polygons in the 2-dimensional plane, the goal is to find a set of pairwise non-overlapping polygons with…

Data Structures and Algorithms · Computer Science 2013-07-17 Anna Adamaszek , Andreas Wiese

Patch-based methods and deep networks have been employed to tackle image inpainting problem, with their own strengths and weaknesses. Patch-based methods are capable of restoring a missing region with high-quality texture through searching…

Computer Vision and Pattern Recognition · Computer Science 2021-11-05 Rui Xu , Minghao Guo , Jiaqi Wang , Xiaoxiao Li , Bolei Zhou , Chen Change Loy