English
Related papers

Related papers: Variational Depth from Focus Reconstruction

200 papers

We propose a new space-variant anisotropic regularisation term for variational image restoration, based on the statistical assumption that the gradients of the target image distribute locally according to a bivariate generalised Gaussian…

Numerical Analysis · Mathematics 2019-04-04 Luca Calatroni , Alessandro Lanza , Monica Pragliola , Fiorella Sgallari

In image processing, Total Variation (TV) regularization models are commonly used to recover blurred images. One of the most efficient and popular methods to solve the convex TV problem is the Alternating Direction Method of Multipliers…

Optimization and Control · Mathematics 2019-10-02 Tao Sun , Roberto Barrio , Marcos Rodriguez , Hao Jiang

We develop a new proximal-gradient method for minimizing the sum of a differentiable, possibly nonconvex, function plus a convex, possibly non differentiable, function. The key features of the proposed method are the definition of a…

Numerical Analysis · Mathematics 2016-05-13 Silvia Bonettini , Ignace Loris , Federica Porta , Marco Prato

We aim at the solution of inverse problems in imaging, by combining a penalized sparse representation of image patches with an unconstrained smooth one. This allows for a straightforward interpretation of the reconstruction. We formulate…

Image and Video Processing · Electrical Eng. & Systems 2025-03-18 Stanislas Ducotterd , Sebastian Neumayer , Michael Unser

The paper surveys variational approaches for image reconstruction in dynamic inverse problems. Emphasis is on methods that rely on parametrised temporal models. These are here encoded as diffeomorphic deformations with time dependent…

Image and Video Processing · Electrical Eng. & Systems 2020-07-21 Andreas Hauptmann , Ozan Öktem , Carola Schönlieb

One of the fundamental problems within the field of machine learning is dimensionality reduction. Dimensionality reduction methods make it possible to combat the so-called curse of dimensionality, visualize high-dimensional data and, in…

Machine Learning · Computer Science 2025-05-12 Sergio García-Heredia , Ángela Fernández , Carlos M. Alaíz

We present an adaptive regularization scheme for optimizing composite energy functionals arising in image analysis problems. The scheme automatically trades off data fidelity and regularization depending on the current data fit during the…

Computer Vision and Pattern Recognition · Computer Science 2017-05-10 Byung-Woo Hong , Ja-Keoung Koo , Martin Burger , Stefano Soatto

We present a novel way of approaching image-based 3D reconstruction based on radiance fields. The problem of volumetric reconstruction is formulated as a non-linear least-squares problem and solved explicitly without the use of neural…

Computer Vision and Pattern Recognition · Computer Science 2021-12-13 Sverker Rasmuson , Erik Sintorn , Ulf Assarsson

This paper develops a mathematical theory of super-resolution. Broadly speaking, super-resolution is the problem of recovering the fine details of an object---the high end of its spectrum---from coarse scale information only---from samples…

Information Theory · Computer Science 2012-11-15 Emmanuel Candes , Carlos Fernandez-Granda

Shape from Polarization (SfP) estimates surface normals using photos captured at different polarizer rotations. Fundamentally, the SfP model assumes that light is reflected either diffusely or specularly. However, this model is not valid…

Computer Vision and Pattern Recognition · Computer Science 2016-06-14 Vage Taamazyan , Achuta Kadambi , Ramesh Raskar

In this paper, we study a general optimization model, which covers a large class of existing models for many applications in imaging sciences. To solve the resulting possibly nonconvex, nonsmooth and non-Lipschitz optimization problem, we…

Optimization and Control · Mathematics 2016-09-30 Lei Yang , Ting Kei Pong , Xiaojun Chen

In this project, we propose a novel approach for estimating depth from RGB images. Traditionally, most work uses a single RGB image to estimate depth, which is inherently difficult and generally results in poor performance, even with…

Computer Vision and Pattern Recognition · Computer Science 2017-05-04 Eric Cristofalo , Zijian Wang

We present a novel approach for the reconstruction of dynamic geometric shapes using a single hand-held consumer-grade RGB-D sensor at real-time rates. Our method does not require a pre-defined shape template to start with and builds up the…

Computer Vision and Pattern Recognition · Computer Science 2016-08-02 Matthias Innmann , Michael Zollhöfer , Matthias Nießner , Christian Theobalt , Marc Stamminger

Detail features of magnetic resonance images play a cru-cial role in accurate medical diagnosis and treatment, as they capture subtle changes that pose challenges for doc-tors when performing precise judgments. However, the widely utilized…

Computer Vision and Pattern Recognition · Computer Science 2024-05-10 Mengxiao Geng , Jiahao Zhu , Xiaolin Zhu , Qiqing Liu , Dong Liang , Qiegen Liu

3D reconstruction aims to recover the dense 3D structure of a scene. It plays an essential role in various applications such as Augmented/Virtual Reality (AR/VR), autonomous driving and robotics. Leveraging multiple views of a scene…

Computer Vision and Pattern Recognition · Computer Science 2026-01-14 Fangjinhua Wang , Qingtian Zhu , Di Chang , Quankai Gao , Junlin Han , Tong Zhang , Richard Hartley , Marc Pollefeys

In the last decades, unsupervised deep learning based methods have caught researchers attention, since in many real applications, such as medical imaging, collecting a great amount of training examples is not always feasible. Moreover, the…

Image and Video Processing · Electrical Eng. & Systems 2022-05-24 Pasquale Cascarano , Andrea Sebastiani , Maria Colomba Comes , Giorgia Franchini , Federica Porta

In this work, we address the limitations of denoising diffusion models (DDMs) in image restoration tasks, particularly the shape and color distortions that can compromise image quality. While DDMs have demonstrated a promising performance…

Computer Vision and Pattern Recognition · Computer Science 2024-12-18 Xinlong Cheng , Tiantian Cao , Guoan Cheng , Bangxuan Huang , Xinghan Tian , Ye Wang , Xiaoyu He , Weixin Li , Tianfan Xue , Xuan Dong

In this paper, we address the issue of hyperspectral pan-sharpening, which consists in fusing a (low spatial resolution) hyperspectral image HX and a (high spatial resolution) panchromatic image P to obtain a high spatial resolution…

Computer Vision and Pattern Recognition · Computer Science 2014-05-13 Alexis Huck , François de Vieilleville , Pierre Weiss , Manuel Grizonnet

Modern mobile burst photography pipelines capture and merge a short sequence of frames to recover an enhanced image, but often disregard the 3D nature of the scene they capture, treating pixel motion between images as a 2D aggregation…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Ilya Chugunov , Yuxuan Zhang , Felix Heide

In this paper, the traditional model based variational method and learning based algorithms are naturally integrated to address mixed noise removal problem. To be different from single type noise (e.g. Gaussian) removal, it is a challenge…

Computer Vision and Pattern Recognition · Computer Science 2018-05-22 Faqiang Wang , Haiyang Huang , Jun Liu