Search: ill-posed problem — Academic Articles

Multitask Learning Mechanism for Remote Sensing Image Motion Deblurring

Jie Fang, Xiaoqian Cao, Dianwei Wang, Shengjun Xu • IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing (2021)

As a fundamental preprocessing technique, remote sensing image motion deblurring is important for visual understanding tasks. Most conventional approaches formulate the image motion deblurring task as a kernel estimation. Because the kernel...

DOAJ Open Access (DOAJ) DOI: 10.1109/JSTARS.2020.3047636

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A Truncated-Kernel Mollification Method for the Cauchy Problem of the Modified Helmholtz Equation

Huilin Xu, Fanli Xu, Baoxia Wang • Axioms (2026)

This paper addresses the Cauchy problem for the multi-dimensional modified Helmholtz equation, a classical and severely ill-posed problem. A truncated-kernel mollification method is proposed as an effective regularization approach. Both the...

DOAJ Open Access (DOAJ) DOI: 10.3390/axioms15080593

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Computational Hyperspectral Camera Design Based on Co-Modulation of Diffractive Optical Element and Superposition Fabry-Perot Filter Array

Shiqi Feng, Xuquan Wang, Xiong Dun, Zhanshan Wang et al. • IEEE Photonics Journal (2025)

Encoded computational hyperspectral cameras, propelled by advances in compressed sensing theory, making both miniaturization and real-time hyperspectral imaging feasible. Spectral-encoded or spatial-encoded hyperspectral imaging strategy ha...

DOAJ Open Access (DOAJ) DOI: 10.1109/JPHOT.2025.3624799

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Acoustic Impedance Inversion from Seismic Imaging Profiles Using Self Attention U-Net

Liurong Tao, Haoran Ren, Zhiwei Gu • Remote Sensing (2023)

Seismic impedance inversion is a vital way of geological interpretation and reservoir investigation from a geophysical perspective. However, it is inevitably an ill-posed problem due to the noise or the band-limited characteristic of seismi...

DOAJ Open Access (DOAJ) DOI: 10.3390/rs15040891

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Academic Articles & Research Papers

Multitask Learning Mechanism for Remote Sensing Image Motion Deblurring

A Truncated-Kernel Mollification Method for the Cauchy Problem of the Modified Helmholtz Equation

Computational Hyperspectral Camera Design Based on Co-Modulation of Diffractive Optical Element and Superposition Fabry-Perot Filter Array

Acoustic Impedance Inversion from Seismic Imaging Profiles Using Self Attention U-Net