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In this paper, we study the mathematical imaging problem of diffraction tomography (DT), which is an inverse scattering technique used to find material properties of an object by illuminating it with probing waves and recording the…

Numerical Analysis · Mathematics 2023-05-16 Florian Faucher , Clemens Kirisits , Michael Quellmalz , Otmar Scherzer , Eric Setterqvist

Existing learning-based methods effectively reconstruct HDR images from multi-exposure LDR inputs with extended dynamic range and improved detail, but they rely more on empirical design rather than theoretical foundation, which can impact…

Image and Video Processing · Electrical Eng. & Systems 2025-07-08 Xinyue Li , Zhangkai Ni , Wenhan Yang

Image Super-Resolution (SR) provides a promising technique to enhance the image quality of low-resolution optical sensors, facilitating better-performing target detection and autonomous navigation in a wide range of robotics applications.…

Computer Vision and Pattern Recognition · Computer Science 2020-12-08 Fan Wang , Jiangxin Yang , Yanlong Cao , Yanpeng Cao , Michael Ying Yang

High dynamic range (HDR) imaging is a crucial task in computational photography, which captures details across diverse lighting conditions. Traditional HDR fusion methods face limitations in dynamic scenes with extreme exposure differences,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Shi Guo , Zixuan Chen , Ziran Zhang , Yutian Chen , Gangwei Xu , Tianfan Xue

To solve the range cell migration (RCM) and spectrum spread during the integration time induced by the motion of a target, this paper proposes a new coherent integration method based on Radon non-uniform FRFT (NUFRFT) for random pulse…

Methodology · Statistics 2015-11-11 Jing Tian , Xiang-Gen Xia , Gang Yang , Wei Cui , Si-Liang Wu

Fourier ptychography is a recently explored imaging method for overcoming the diffraction limit of conventional cameras with applications in microscopy and yielding high-resolution images. In order to splice together low-resolution images…

Image and Video Processing · Electrical Eng. & Systems 2020-03-18 Yican Chen , Zhi Luo , Xia Wu , Huidong Yang , Bo Huang

Positron emission tomography (PET) offers powerful functional imaging but involves radiation exposure. Efforts to reduce this exposure by lowering the radiotracer dose or scan time can degrade image quality. While using magnetic resonance…

Computer Vision and Pattern Recognition · Computer Science 2026-02-13 Yingkai Zhang , Shuang Chen , Ye Tian , Yunyi Gao , Jianyong Jiang , Ying Fu

The Radon transform and its adjoint, the back-projection operator, can both be expressed as convolutions in log-polar coordinates. Hence, fast algorithms for the application of the operators can be constructed by using FFT, if data is…

Numerical Analysis · Mathematics 2015-06-02 Fredrik Andersson , Marcus Carlsson , Viktor V. Nikitin

Several novel imaging applications have lead recently to a variety of Radon type transforms, where integration is done over a family of conical surfaces. We call them \emph{cone transforms} (in 2D they are also called \emph{V-line} or…

Functional Analysis · Mathematics 2015-09-24 Fatma Terzioglu

In robotic navigation, maintaining precise pose estimation and navigation in complex and dynamic environments is crucial. However, environmental challenges such as smoke, tunnels, and adverse weather can significantly degrade the…

Robotics · Computer Science 2025-07-25 Chenglong Qian , Yang Xu , Xiufang Shi , Jiming Chen , Liang Li

Exact reconstruction of an image from measurements of its Discrete Fourier Transform (DFT) typically requires all DFT coefficients to be available. However, incorporating the prior assumption that the image contains only integer values…

Numerical Analysis · Mathematics 2026-04-16 Howard W Levinson , Isaac Viviano

Recently, deep learning technology has been successfully introduced into Automatic Modulation Recognition (AMR) tasks. However, the success of deep learning is all attributed to the training on large-scale datasets. Such a large amount of…

Machine Learning · Computer Science 2024-08-07 Dongwei Xu , Jiajun Chen , Yao Lu , Tianhao Xia , Qi Xuan , Wei Wang , Yun Lin , Xiaoniu Yang

Data-driven radio frequency (RF) tomography has demonstrated significant potential for underground target detection, due to the penetrative nature of RF signals through soil. However, it is still challenging to achieve accurate and robust…

Signal Processing · Electrical Eng. & Systems 2025-08-19 Yang Zhao , Tao Wang , Said Elhadi

In optical diffraction tomography (ODT), the three-dimensional scattering potential of a microscopic object rotating around its center is recovered by a series of illuminations with coherent light. Reconstruction algorithms such as the…

Numerical Analysis · Mathematics 2022-09-02 Robert Beinert , Michael Quellmalz

Light scattering imposes a major obstacle for imaging objects seated deeply in turbid media, such as biological tissues and foggy air. Diffuse optical tomography (DOT) tackles scattering by volumetrically recovering the optical absorbance…

The ability to image high-dynamic-range (HDR) scenes is crucial in many computer vision applications. The dynamic range of conventional sensors, however, is fundamentally limited by their well capacity, resulting in saturation of bright…

Image and Video Processing · Electrical Eng. & Systems 2022-04-22 Haley M. So , Julien N. P. Martel , Piotr Dudek , Gordon Wetzstein

We introduce a dual-wavelength Fourier ptychographic topography (FPT) method that extends the lambda/2 height-range limit of single-wavelength FPT. By reconstructing complex fields at two illumination wavelengths and exploiting their phase…

The approximate discrete Radon transform (ADRT) is a hierarchical multiscale approximation of the Radon transform. In this paper, we factor the ADRT into a product of linear transforms that resemble convolutions and derive an explicit…

Numerical Analysis · Mathematics 2026-01-08 Weilin Li , Karl Otness , Kui Ren , Donsub Rim

Reconstructing high dynamic range (HDR) images from low dynamic range (LDR) bursts plays an essential role in the computational photography. Impressive progress has been achieved by learning-based algorithms which require LDR-HDR image…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Wei Jiang , Jiahao Cui , Yizheng Wu , Zhan Peng , Zhiyu Pan , Zhiguo Cao

Recovering a sparse signal from its low-pass projections in the Fourier domain is a problem of broad interest in science and engineering and is commonly referred to as super-resolution. In many cases, however, Fourier domain may not be the…

Information Theory · Computer Science 2019-02-20 Ayush Bhandari , Yonina C. Eldar