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The central limit theorem suggests Gaussian convolution as a generic blur model for images. Since Gaussian convolution is equivalent to homogeneous diffusion filtering, one way to deblur such images is to diffuse them backwards in time.…

Image and Video Processing · Electrical Eng. & Systems 2022-07-21 Kristina Schaefer , Joachim Weickert

In this paper we propose a high-order accurate scheme for image segmentation based on the level-set method. In this approach, the curve evolution is described as the 0-level set of a representation function but we modify the velocity that…

Numerical Analysis · Mathematics 2020-01-08 Maurizio Falcone , Giulio Paolucci , Silvia Tozza

Particle Flow Filters perform the measurement update by moving particles to a different location rather than modifying the particles' weight based on the likelihood. Their movement (flow) is dictated by a drift term, which continuously…

Computational Engineering, Finance, and Science · Computer Science 2025-07-04 Simone Servadio

In this paper, we propose a novel coarse-to-fine continuous pose diffusion method to enhance the precision of pick-and-place operations within robotic manipulation tasks. Leveraging the capabilities of diffusion networks, we facilitate the…

Robotics · Computer Science 2025-02-18 Shih-Wei Guo , Tsu-Ching Hsiao , Yu-Lun Liu , Chun-Yi Lee

Urban forests play a key role in enhancing environmental quality and supporting biodiversity in cities. Mapping and monitoring these green spaces are crucial for urban planning and conservation, yet accurately detecting trees is challenging…

Computer Vision and Pattern Recognition · Computer Science 2025-05-22 Alessandro dos Santos Ferreira , Ana Paula Marques Ramos , José Marcato Junior , Wesley Nunes Gonçalves

Infrared imaging is essential for autonomous driving and robotic operations as a supportive modality due to its reliable performance in challenging environments. Despite its popularity, the limitations of infrared cameras, such as low…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Xingyuan Li , Zirui Wang , Yang Zou , Zhixin Chen , Jun Ma , Zhiying Jiang , Long Ma , Jinyuan Liu

The main contribution of this paper is to propose an iterative procedure for tubular structure segmentation of 2D images, which combines tight frame of Curvelet transforms with a SURE technique thresholding which is based on principle…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Nasser Aghazadeh , Ladan Sharafyan Cigaroudy

In this paper, we consider the filtering problem for partially observed diffusions, which are regularly observed at discrete times. We are concerned with the case when one must resort to time-discretization of the diffusion process if the…

Numerical Analysis · Mathematics 2020-04-09 Marco Ballesio , Ajay Jasra , Erik von Schwerin , Raul Tempone

We propose an autofocusing algorithm to obtain, relatively accurately, the 3D position of each particle, particularly its axial location, and particle number of a dense transparent particle solution via its hologram. First, morphological…

Signal Processing · Electrical Eng. & Systems 2025-03-25 Wei-Na Li , Yi Zhou , Jiatai Chen , Hongjie Ou , XiangSheng Xie

We present a high-order radial basis function finite difference (RBF-FD) framework for the solution of advection-diffusion equations on time-varying domains. Our framework is based on a generalization of the recently developed Overlapped…

Numerical Analysis · Mathematics 2021-09-15 Varun Shankar , Grady B. Wright , Aaron L. Fogelson

While recent advances in deep learning have significantly advanced the state of the art for vessel detection in color fundus (CF) images, the success for detecting vessels in fluorescein angiography (FA) has been stymied due to the lack of…

Computer Vision and Pattern Recognition · Computer Science 2020-05-12 Li Ding , Mohammad H. Bawany , Ajay E. Kuriyan , Rajeev S. Ramchandran , Charles C. Wykoff , Gaurav Sharma

Expansion of diffusion MRI (dMRI) both into the realm of strong gradients, and into accessible imaging with portable low-field devices, brings about the challenge of gradient nonlinearities. Spatial variations of the diffusion gradients…

Recent semi-dense image matching methods have achieved remarkable success, but two long-standing issues still impair their performance. At the coarse stage, the over-exclusion issue of their mutual nearest neighbor (MNN) matching layer…

Computer Vision and Pattern Recognition · Computer Science 2026-04-09 Ke Jin , Jiming Chen , Qi Ye

Diffusion Tensor Imaging (DTI) is a non-invasive imaging technique that allows estimation of the location of white matter tracts in-vivo, based on the measurement of water diffusion properties. For each voxel, a second-order tensor can be…

Computer Vision and Pattern Recognition · Computer Science 2013-10-24 Miriam H. A. Bauer , Sebastiano Barbieri , Jan Klein , Jan Egger , Daniela Kuhnt , Bernd Freisleben , Horst K. Hahn , Christopher Nimsky

We develop a curvilinear invariant set of the diffusion tensor which may be applied to Diffusion Tensor Imaging measurements on tissues and porous media. This new set is an alternative to the more common invariants such as fractional…

Biological Physics · Physics 2014-01-03 Robin A. Damion , Aleksandra Radjenovic , Eileen Ingham , Zhongmin Jin , Michael E. Ries

We develop three inverse elastic scattering schemes for locating multiple small, extended and multiscale rigid bodies, respectively. There are some salient and promising features of the proposed methods. The cores of those schemes are…

Analysis of PDEs · Mathematics 2013-10-15 Guanghui Hu , Jingzhi Li , Hongyu Liu , Hongpeng Sun

We present a new finite volume scheme for anisotropic heterogeneous diffusion problems on unstructured irregular grids, which simultaneously gives an approximation of the solution and of its gradient. In the case of simplicial meshes, the…

Numerical Analysis · Mathematics 2016-08-16 Jérôme Droniou , Robert Eymard

Hyperspectral images encode rich structure that can be exploited for material discrimination by machine learning algorithms. This article introduces the Active Diffusion and VCA-Assisted Image Segmentation (ADVIS) for active material…

Computer Vision and Pattern Recognition · Computer Science 2022-04-14 Sam L. Polk , Kangning Cui , Robert J. Plemmons , James M. Murphy

In this paper, we propose a new two-dimensional directional discrete wavelet transform that can decompose an image into 12 multiscale directional edge components. The proposed transform is designed in a fully discrete setting and thus is…

Signal Processing · Electrical Eng. & Systems 2021-12-03 Kensuke Fujinoki , Keita Ashizawa

We extend Regularised Diffusion-Shock (RDS) filtering from Euclidean space $\mathbb{R}^2$ to the space of positions and orientations $\mathbb{M}_2 := \mathbb{R}^2 \times S^1$. This has numerous advantages, e.g. making it possible to enhance…

Differential Geometry · Mathematics 2025-05-26 Finn M. Sherry , Kristina Schaefer , Remco Duits