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The paper introduces new sufficient conditions of strict positive definiteness for kernels on d-dimensional spheres which are not radially symmetric but possess specific coefficient structures. The results use the series expansion of the…

Numerical Analysis · Mathematics 2021-05-07 Martin Buhmann , Janin Jäger

Depth completion, which aims to generate high-quality dense depth maps from sparse depth maps, has attracted increasing attention in recent years. Previous work usually employs RGB images as guidance, and introduces iterative spatial…

Computer Vision and Pattern Recognition · Computer Science 2023-08-04 Xinglong Sun , Jean Ponce , Yu-Xiong Wang

Deep learning based methods have recently pushed the state-of-the-art on the problem of Single Image Super-Resolution (SISR). In this work, we revisit the more traditional interpolation-based methods, that were popular before, now with the…

Computer Vision and Pattern Recognition · Computer Science 2017-12-19 Xu Jia , Hong Chang , Tinne Tuytelaars

We present a fast learning-based algorithm for deformable, pairwise 3D medical image registration. Current registration methods optimize an objective function independently for each pair of images, which can be time-consuming for large…

Computer Vision and Pattern Recognition · Computer Science 2019-03-14 Guha Balakrishnan , Amy Zhao , Mert R. Sabuncu , John Guttag , Adrian V. Dalca

Our work expands the use of capsule networks to the task of object segmentation for the first time in the literature. This is made possible via the introduction of locally-constrained routing and transformation matrix sharing, which reduces…

Image and Video Processing · Electrical Eng. & Systems 2020-12-14 Rodney LaLonde , Ziyue Xu , Ismail Irmakci , Sanjay Jain , Ulas Bagci

How to aggregate spatial information plays an essential role in learning-based image restoration. Most existing CNN-based networks adopt static convolutional kernels to encode spatial information, which cannot aggregate spatial information…

Computer Vision and Pattern Recognition · Computer Science 2023-03-07 Yi Zhang , Dasong Li , Xiaoyu Shi , Dailan He , Kangning Song , Xiaogang Wang , Hongwei Qin , Hongsheng Li

We propose a general framework for solving inverse problems in the presence of noise that requires no signal prior, no noise estimate, and no clean training data. We only require that the forward model be available and that the noise be…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Hirofumi Kobayashi , Ahmet Can Solak , Joshua Batson , Loic A. Royer

For the past several decades, it has been popular to reconstruct Fourier imaging data using model-based approaches that can easily incorporate physical constraints and advanced regularization/machine learning priors. The most common…

Signal Processing · Electrical Eng. & Systems 2025-05-12 Chin-Cheng Chan , Justin P. Haldar

Deconvolution is essential for radio interferometric imaging to produce scientific quality data because of finite sampling in the Fourier plane. Most deconvolution algorithms are based on CLEAN which uses a grid of image pixels, or clean…

Instrumentation and Methods for Astrophysics · Physics 2016-11-18 Sarod Yatawatta

It remains a challenge to simultaneously remove geometric distortion and space-time-varying blur in frames captured through a turbulent atmospheric medium. To solve, or at least reduce these effects, we propose a new scheme to recover a…

Computer Vision and Pattern Recognition · Computer Science 2014-01-20 Yuan Xie , Wensheng Zhang , Dacheng Tao , Wenrui Hu , Yanyun Qu , Hanzi Wang

Spatial optimization is often overlooked in many computer vision tasks. Filters should be able to recognize the features of an object regardless of where it is in the image. Similarity search is a crucial task where spatial features decide…

Computer Vision and Pattern Recognition · Computer Science 2024-04-11 Md. Farhadul Islam , Md. Tanzim Reza , Meem Arafat Manab , Mohammad Rakibul Hasan Mahin , Sarah Zabeen , Jannatun Noor

While variational methods have been among the most powerful tools for solving linear inverse problems in imaging, deep (convolutional) neural networks have recently taken the lead in many challenging benchmarks. A remaining drawback of deep…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Tim Meinhardt , Michael Moeller , Caner Hazirbas , Daniel Cremers

In ultrasound tomography, the speed of sound inside an object is estimated based on acoustic measurements carried out by sensors surrounding the object. An accurate forward model is a prominent factor for high-quality image reconstruction,…

Image and Video Processing · Electrical Eng. & Systems 2021-11-24 Janne Koponen , Timo Lähivaara , Jari Kaipio , Marko Vauhkonen

Continual learning is an emerging topic in the field of deep learning, where a model is expected to learn continuously for new upcoming tasks without forgetting previous experiences. This field has witnessed numerous advancements, but few…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Aupendu Kar , Krishnendu Ghosh , Prabir Kumar Biswas

Convolutional neural networks (CNNs) have been tremendously successful in solving imaging inverse problems. To understand their success, an effective strategy is to construct simpler and mathematically more tractable convolutional sparse…

Computer Vision and Pattern Recognition · Computer Science 2022-05-20 Tianlin Liu , Anadi Chaman , David Belius , Ivan Dokmanić

We propose a new variational model for joint image reconstruction and motion estimation in spatiotemporal imaging, which is investigated along a general framework that we present with shape theory. This model consists of two components, one…

Numerical Analysis · Mathematics 2019-11-06 Chong Chen , Barbara Gris , Ozan Öktem

Intraoperative CT imaging serves as a crucial resource for surgical guidance; however, it may not always be readily accessible or practical to implement. In scenarios where CT imaging is not an option, reconstructing CT scans from X-rays…

Image and Video Processing · Electrical Eng. & Systems 2024-08-22 Zhi Qiao , Xuhui Liu , Xiaopeng Wang , Runkun Liu , Xiantong Zhen , Pei Dong , Zhen Qian

The application of convolutional autoencoder deep learning to imaging data for planetary science and astrobiological use is briefly reviewed and explored with a focus on the need to understand algorithmic rationale, process, and results…

Earth and Planetary Astrophysics · Physics 2025-07-16 Caleb Scharf

In order to produce high dynamic range images in radio interferometry, bright extended sources need to be removed with minimal error. However, this is not a trivial task because the Fourier plane is sampled only at a finite number of…

Instrumentation and Methods for Astrophysics · Physics 2011-01-17 Sarod Yatawatta

Many deep neural networks are built by using stacked convolutional layers of fixed and single size (often 3$\times$3) kernels. This paper describes a method for training the size of convolutional kernels to provide varying size kernels in a…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 F. Boray Tek , İlker Çam , Deniz Karlı
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