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The recent statistical theory of neural networks focuses on nonparametric denoising problems that treat randomness as additive noise. Variability in image classification datasets does, however, not originate from additive noise but from…

Statistics Theory · Mathematics 2025-08-19 Juntong Chen , Sophie Langer , Johannes Schmidt-Hieber

Harmonic inpainting with optimised data is very popular for inpainting-based image compression. We improve this approach in three important aspects. Firstly, we replace the standard finite differences discretisation by a finite element…

Image and Video Processing · Electrical Eng. & Systems 2021-08-02 Vassillen Chizhov , Joachim Weickert

Image denoising methods must effectively model, implicitly or explicitly, the vast diversity of patterns and textures that occur in natural images. This is challenging, even for modern methods that leverage deep neural networks trained to…

Computer Vision and Pattern Recognition · Computer Science 2019-12-11 Zhihao Xia , Ayan Chakrabarti

Sparse representation of images under certain transform domain has been playing a fundamental role in image restoration tasks. One such representative method is the widely used wavelet tight frame systems. Instead of adopting fixed filters…

Computer Vision and Pattern Recognition · Computer Science 2016-03-02 Dai-Qiang Chen

Dual-energy computed tomography (DECT) has shown great potential and promising applications in advanced imaging fields for its capabilities of material decomposition. However, image reconstructions and decompositions under sparse views…

Medical Physics · Physics 2016-08-01 Lei Li , Ailong Cai , Linyuan Wang , Bin Yan , Hanming Zhang , Zhizhong Zheng , Wenkun Zhang , Wanli Lu , Guoen Hu

Recently Implicit Neural Representations (INRs) gained attention as a novel and effective representation for various data types. Thus far, prior work mostly focused on optimizing their reconstruction performance. This work investigates INRs…

Image and Video Processing · Electrical Eng. & Systems 2022-08-05 Yannick Strümpler , Janis Postels , Ren Yang , Luc van Gool , Federico Tombari

Fully supervised deep-learning based denoisers are currently the most performing image denoising solutions. However, they require clean reference images. When the target noise is complex, e.g. composed of an unknown mixture of primary…

Image and Video Processing · Electrical Eng. & Systems 2020-08-03 Florian Lemarchand , Erwan Nogues , Maxime Pelcat

Noisy images are a challenge to image compression algorithms due to the inherent difficulty of compressing noise. As noise cannot easily be discerned from image details, such as high-frequency signals, its presence leads to extra bits…

Image and Video Processing · Electrical Eng. & Systems 2024-02-09 Yuxin Xie , Li Yu , Farhad Pakdaman , Moncef Gabbouj

Interpolation and internal painting are one of the basic approaches in image internal painting, which is used to eliminate undesirable parts that occur in digital images or to enhance faulty parts. This study was designed to compare the…

Computer Vision and Pattern Recognition · Computer Science 2021-02-15 Mustafa Zor , Erkan Bostanci , Mehmet Serdar Guzel , Erinc Karatas

This paper deals with impulse noise removal from color images. The proposed noise removal algorithm employs a novel approach with morphological filtering for color image denoising; that is, detection of corrupted pixels and removal of the…

Computer Vision and Pattern Recognition · Computer Science 2017-07-12 Alexey Ruchay , Vitaly Kober

We revisit the classical problem of 3D shape interpolation and propose a novel, physically plausible approach based on Hamiltonian dynamics. While most prior work focuses on synthetic input shapes, our formulation is designed to be…

Computer Vision and Pattern Recognition · Computer Science 2020-04-14 Marvin Eisenberger , Daniel Cremers

This paper proposes an image interpolation algorithm exploiting sparse representation for natural images. It involves three main steps: (a) obtaining an initial estimate of the high resolution image using linear methods like FIR filtering,…

Computer Vision and Pattern Recognition · Computer Science 2013-08-07 H. Lakshman , W. -Q Lim , H. Schwarz , D. Marpe , G. Kutyniok , T. Wiegand

In this paper, we propose a new multimodal image denoising approach to attenuate white Gaussian additive noise in a given image modality under the aid of a guidance image modality. The proposed coupled image denoising approach consists of…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Pingfan Song , Miguel R. D. Rodrigues

Image denoising and image segmentation play essential roles in image processing. Partial differential equations (PDE)-based methods have proven to show reliable results when incorporated in both denoising and segmentation of images. In our…

Numerical Analysis · Mathematics 2025-09-03 Ksenia Slepova , Ivan Etoku Oiye , Martin B. van Gijzen

In the image inpainting task, the ability to repair both high-frequency and low-frequency information in the missing regions has a substantial influence on the quality of the restored image. However, existing inpainting methods usually fail…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Huali Xu , Xiangdong Su , Meng Wang , Xiang Hao , Guanglai Gao

Deep image prior (DIP) serves as a good inductive bias for diverse inverse problems. Among them, denoising is known to be particularly challenging for the DIP due to noise fitting with the requirement of an early stopping. To address the…

Image and Video Processing · Electrical Eng. & Systems 2021-08-31 Yeonsik Jo , Se Young Chun , Jonghyun Choi

Image denoising aims to remove noise while preserving structural details and perceptual realism, yet distortion-driven methods often produce over-smoothed reconstructions, especially under strong noise and distribution shift. This paper…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Nam Nguyen , Thinh Nguyen , Bella Bose

Finding optimal data for inpainting is a key problem in the context of partial differential equation based image compression. The data that yields the most accurate reconstruction is real-valued. Thus, quantisation models are mandatory to…

Computer Vision and Pattern Recognition · Computer Science 2017-06-21 Laurent Hoeltgen , Pascal Peter , Michael Breuß

Guided upsampling is an effective approach for accelerating high-resolution image processing. In this paper, we propose a simple yet effective guided upsampling method. Each pixel in the high-resolution image is represented as a linear…

Computer Vision and Pattern Recognition · Computer Science 2023-07-20 Shuangbing Song , Fan Zhong , Tianju Wang , Xueying Qin , Changhe Tu

Inpainting-based image compression is emerging as a promising competitor to transform-based compression techniques. Its key idea is to reconstruct image information from only few known regions through inpainting. Specific partial…

Image and Video Processing · Electrical Eng. & Systems 2021-05-05 Sarah Andris , Joachim Weickert , Tobias Alt , Pascal Peter