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In this paper we introduce and study a new feature-preserving nonlinear anisotropic diffusion for denoising signals. The proposed partial differential equation is based on a novel diffusivity coefficient that uses a nonlocal automatically…

Analysis of PDEs · Mathematics 2019-07-23 Giacomo Aletti , Monica Moroni , Giovanni Naldi

We investigate possibilities to speed up iterative algorithms for non-blind image deconvolution. We focus on algorithms in which convolution with the point-spread function to be deconvolved is used in each iteration, and aim at accelerating…

Computer Vision and Pattern Recognition · Computer Science 2013-04-29 Martin Welk , Martin Erler

Diffusion models are an important tool for generative modelling, serving as effective priors in applications such as imaging and protein design. A key challenge in applying diffusion models for downstream tasks is efficiently sampling from…

Machine Learning · Computer Science 2026-02-12 Alexander Denker , Shreyas Padhy , Francisco Vargas , Johannes Hertrich

Cameras and LiDAR are essential sensors for autonomous vehicles. Camera-LiDAR data fusion compensate for deficiencies of stand-alone sensors but relies on precise extrinsic calibration. Many learning-based calibration methods predict…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Ni Ou , Zhuo Chen , Xinru Zhang , Junzheng Wang

Monocular depth estimation is a challenging task that predicts the pixel-wise depth from a single 2D image. Current methods typically model this problem as a regression or classification task. We propose DiffusionDepth, a new approach that…

Computer Vision and Pattern Recognition · Computer Science 2023-08-30 Yiqun Duan , Xianda Guo , Zheng Zhu

In recent years, diffusion models have achieved remarkable success in various domains of artificial intelligence, such as image synthesis, super-resolution, and 3D molecule generation. However, the application of diffusion models in graph…

Machine Learning · Computer Science 2023-06-26 Run Yang , Yuling Yang , Fan Zhou , Qiang Sun

Lensless imagers based on diffusers or encoding masks enable high-dimensional imaging from a single shot measurement and have been applied in various applications. However, to further extract image information such as edge detection,…

Image and Video Processing · Electrical Eng. & Systems 2024-06-10 Ze Zheng , Baolei Liu , Jiaqi Song , Lei Ding , Xiaolan Zhong , David Mcgloin , Fan Wang

Inverse problems generally require a regularizer or prior for a good solution. A recent trend is to train a convolutional net to denoise images, and use this net as a prior when solving the inverse problem. Several proposals depend on a…

Computer Vision and Pattern Recognition · Computer Science 2023-07-12 Kyle Luther , H. Sebastian Seung

Diffusion models are powerful tools for sampling from high-dimensional distributions by progressively transforming pure noise into structured data through a denoising process. When equipped with a guidance mechanism, these models can also…

Machine Learning · Computer Science 2026-05-04 Saeed Mohseni-Sehdeh , Walid Saad , Kei Sakaguchi , Tao Yu

In this work, we propose a new approach for efficient edge-preserving image deconvolution. Our algorithm is based on a novel type of explicit image filter - guided filter. The guided filter can be used as an edge-preserving smoothing…

Computer Vision and Pattern Recognition · Computer Science 2016-09-08 Hang Yang , Ming Zhu , Zhongbo Zhang , Heyan Huang

Query expansion is a popular method to improve the quality of image retrieval with both conventional and CNN representations. It has been so far limited to global image similarity. This work focuses on diffusion, a mechanism that captures…

Computer Vision and Pattern Recognition · Computer Science 2019-07-02 Ahmet Iscen , Giorgos Tolias , Yannis Avrithis , Teddy Furon , Ondrej Chum

Denoising diffusion probabilistic models have recently received much research attention since they outperform alternative approaches, such as GANs, and currently provide state-of-the-art generative performance. The superior performance of…

Computer Vision and Pattern Recognition · Computer Science 2022-03-17 Dmitry Baranchuk , Ivan Rubachev , Andrey Voynov , Valentin Khrulkov , Artem Babenko

Diffusion models, which learn to reverse a signal destruction process to generate new data, typically require the signal at each step to have the same dimension. We argue that, considering the spatial redundancy in image signals, there is…

Machine Learning · Computer Science 2022-11-30 Han Zhang , Ruili Feng , Zhantao Yang , Lianghua Huang , Yu Liu , Yifei Zhang , Yujun Shen , Deli Zhao , Jingren Zhou , Fan Cheng

How do diffusion generative models convert pure noise into meaningful images? In a variety of pretrained diffusion models (including conditional latent space models like Stable Diffusion), we observe that the reverse diffusion process that…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Binxu Wang , John J. Vastola

This paper proposes a new hybrid high-order discretization for the biharmonic problem and the corresponding eigenvalue problem. The discrete ansatz space includes degrees of freedom in $n-2$ dimensional submanifolds (e.g., nodal values in…

Numerical Analysis · Mathematics 2026-04-06 Yizhou Liang , Ngoc Tien Tran

The ability to manipulate objects in a desired configurations is a fundamental requirement for robots to complete various practical applications. While certain goals can be achieved by picking and placing the objects of interest directly,…

Robotics · Computer Science 2023-09-18 Utkarsh A. Mishra , Yongxin Chen

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

This paper introduces the method of anisotropic diffusion oscillation reduction (ADOR) for shock wave computations. The connection is made between digital image processing,in particular, image edge detection, and numerical shock capturing.…

Numerical Analysis · Mathematics 2025-10-20 G. W. Wei

Dataset distillation provides an effective approach to reduce memory and computational costs by optimizing a compact dataset that achieves performance comparable to the full original. However, for large-scale datasets and complex deep…

Computer Vision and Pattern Recognition · Computer Science 2025-11-14 Xinhao Zhong , Shuoyang Sun , Xulin Gu , Zhaoyang Xu , Yaowei Wang , Min Zhang , Bin Chen

Most publicly accessible remote sensing data suffer from low resolution, limiting their practical applications. To address this, we propose a diffusion model guided by neural operators for continuous remote sensing image super-resolution…

Image and Video Processing · Electrical Eng. & Systems 2025-11-06 Zihao Xu , Yuzhi Tang , Bowen Xu , Qingquan Li
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