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This paper presents a neural network approach for solving two-dimensional optical tomography (OT) problems based on the radiative transfer equation. The mathematical problem of OT is to recover the optical properties of an object based on…

Computational Physics · Physics 2019-10-14 Yuwei Fan , Lexing Ying

Optimal Transport (OT) is being widely used in various fields such as machine learning and computer vision, as it is a powerful tool for measuring the similarity between probability distributions and histograms. In previous studies, OT has…

Machine Learning · Statistics 2020-06-17 Yasunori Akagi , Yusuke Tanaka , Tomoharu Iwata , Takeshi Kurashima , Hiroyuki Toda

We scrutinise an important observation plaguing scene-level sketch research -- that a significant portion of scene sketches are "partial". A quick pilot study reveals: (i) a scene sketch does not necessarily contain all objects in the…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Pinaki Nath Chowdhury , Ayan Kumar Bhunia , Viswanatha Reddy Gajjala , Aneeshan Sain , Tao Xiang , Yi-Zhe Song

Optimal transport (OT) provides powerful tools for comparing probability measures in various types. The Wasserstein distance which arises naturally from the idea of OT is widely used in many machine learning applications. Unfortunately,…

Optimization and Control · Mathematics 2021-06-03 Shu Liu , Haodong Sun , Hongyuan Zha

Image blending is an integral part of many multi-image applications such as panorama stitching or remote image acquisition processes. In such scenarios, multiple images are connected at predefined boundaries to form a larger image. A…

Image and Video Processing · Electrical Eng. & Systems 2023-05-11 Paul Bungert , Pascal Peter , Joachim Weickert

We show that the matching problem that underlies optical flow requires multiple strategies, depending on the amount of image motion and other factors. We then study the implications of this observation on training a deep neural network for…

Computer Vision and Pattern Recognition · Computer Science 2017-07-18 Tal Schuster , Lior Wolf , David Gadot

Displacement estimation in optical coherence tomography (OCT) imaging is relevant for several potential applications, e.g. for optical coherence elastography (OCE) for corneal biomechanical characterization. Larger displacements may be…

Image and Video Processing · Electrical Eng. & Systems 2021-03-22 Hossein Khodadadi , Orcun Goksel , Sabine Kling

This paper studies iterative schemes for measure transfer and approximation problems, which are defined through a slicing-and-matching procedure. Similar to the sliced Wasserstein distance, these schemes benefit from the availability of…

Numerical Analysis · Mathematics 2026-03-17 Shiying Li , Caroline Moosmueller , Yongzhe Wang

We introduce a diffusion-based cross-domain image translator in the absence of paired training data. Unlike GAN-based methods, our approach integrates diffusion models to learn the image translation process, allowing for more coverable…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Shilong Zou , Yuhang Huang , Renjiao Yi , Chenyang Zhu , Kai Xu

The graph matching problem seeks to find an alignment between the nodes of two graphs that minimizes the number of adjacency disagreements. Solving the graph matching is increasingly important due to it's applications in operations…

Machine Learning · Statistics 2021-11-11 Ali Saad-Eldin , Benjamin D. Pedigo , Carey E. Priebe , Joshua T. Vogelstein

The optimal transport (OT) map offers the most economical way to transfer one probability measure distribution to another. Classical OT theory does not involve a discussion of preserving topological connections and orientations in…

General Topology · Mathematics 2025-07-03 Yuping Lv , Qi Zhao , Xuebin Chang , Wei Zeng

Image-to-image translation is a topic in computer vision that has a vast range of use cases ranging from medical image translation, such as converting MRI scans to CT scans or to other MRI contrasts, to image colorization, super-resolution,…

Computer Vision and Pattern Recognition · Computer Science 2025-02-06 Omar Zamzam

Domain adaptation of 3D portraits has gained more and more attention. However, the transfer mechanism of existing methods is mainly based on vision or language, which ignores the potential of vision-language combined guidance. In this…

Multimedia · Computer Science 2023-12-12 Xiangwen Deng , Yufeng Wang , Yuanhao Cai , Jingxiang Sun , Yebin Liu , Haoqian Wang

This paper introduces a method to preform optical tomography, using 3D radiative transfer as the forward model. We use an iterative approach predicated on the Spherical Harmonics Discrete Ordinates Method (SHDOM) to solve the optimization…

Atmospheric and Oceanic Physics · Physics 2015-01-27 Aviad Levis , Yoav Y. Schechner , Amit Aides , Anthony B. Davis

3D Multi-Object Tracking (MOT) is an important part of the unmanned vehicle perception module. Most methods optimize object detection and data association independently. These methods make the network structure complicated and limit the…

Computer Vision and Pattern Recognition · Computer Science 2022-03-07 Yueling Shen , Guangming Wang , Hesheng Wang

We introduce COPT, a novel distance metric between graphs defined via an optimization routine, computing a coordinated pair of optimal transport maps simultaneously. This gives an unsupervised way to learn general-purpose graph…

Machine Learning · Computer Science 2021-01-01 Yihe Dong , Will Sawin

Automatic animation line art colorization is a challenging computer vision problem, since the information of the line art is highly sparse and abstracted and there exists a strict requirement for the color and style consistency between…

Computer Vision and Pattern Recognition · Computer Science 2020-11-11 Zhang Qian , Wang Bo , Wen Wei , Li Hai , Liu Jun Hui

Color transfer, which plays a key role in image editing, has attracted noticeable attention recently. It has remained a challenge to date due to various issues such as time-consuming manual adjustments and prior segmentation issues. In this…

Computer Vision and Pattern Recognition · Computer Science 2022-01-07 Chunzhi Gu , Xuequan Lu , Chao Zhang

We present a novel, purely affinity-based natural image matting algorithm. Our method relies on carefully defined pixel-to-pixel connections that enable effective use of information available in the image. We control the information flow…

Computer Vision and Pattern Recognition · Computer Science 2019-04-15 Yağız Aksoy , Tunç Ozan Aydın , Marc Pollefeys

Deep learning models have emerged as a powerful tool for various medical applications. However, their success depends on large, high-quality datasets that are challenging to obtain due to privacy concerns and costly annotation. Generative…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Milad Yazdani , Yasamin Medghalchi , Pooria Ashrafian , Ilker Hacihaliloglu , Dena Shahriari