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Practical Inverse Problems and Their Prospects

Proceedings of PIPTP

  • Conference proceedings
  • © 2023

Overview

Editors:
  1. Takashi TAKIGUCHI

    1. Department of Mathematics, National Defense Academy of Japan, Yokosuka, Japan

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  2. Takashi OHE

    1. Okayama University of Science, Okayama, Japan

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    You can also search for this editor in PubMed   Google Scholar

  3. Jin Cheng

    1. School of Mathematical Sciences, Fudan University, Shanghai, China

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  4. Cheng HUA

    1. Department of Aeronautics and Astronautics, Fudan University, Shanghai, China

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  • Comprises select proceedings of the workshop “Practical inverse problems and their prospect
  • Covers medical imaging, non-destructive and non-invasive inspections, and viscoelastic waves
  • Provides readers with leading-edge information on practical inverse problems

Part of the book series: Mathematics for Industry (MFI, volume 37)

Included in the following conference series:

Conference proceedings info: PIPTP 2022.

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Table of contents (15 papers)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Beyond Conventional Medical Ultrasound Imaging

    • Yoshifumi Saijo, Norma Hermawan, Hayato Ikeda, Ryo Shintate, Shiho Furudate, Takuro Ishii
    Pages 1-13

  3. Denoising with Graphics Processing Units and Deep Learning in Non-invasive Medical Imaging

    • Naoya Oishi
    Pages 15-26

  4. Tomography from Scattered Signals Obeying the Stationary Radiative Transport Equation

    • I-Kun Chen, Hiroshi Fujiwara, Daisuke Kawagoe
    Pages 27-46

  5. The Algebraic Range of the Planar X-Ray Transform of Symmetric Tensors and Applications to Noise Reduction

    • Hiroshi Fujiwara, Kamran Sadiq, Alexandru Tamasan
    Pages 47-68

  6. Radiative Transport Equation in Optical Tomography

    • Manabu Machida
    Pages 69-80

  7. Maintenance of Permeable Asphalt Based on Quantitative Analysis of Deterioration by Non-integer Dimensional Analysis

    • Kenji Hashizume, Takashi Takiguchi
    Pages 81-96

  8. Investigation of Reinforcing Bars in Reinforced Concrete Structures by Ultrasonic Measurements

    • Toshiaki Takabatake, Kenji Hashizume, Takayuki Ochi, Takashi Takiguchi
    Pages 97-109

  9. Recommendation to Teach How to Analyze an Overdetermined System of Linear Equations with No Solution in the Class of Linear Algebra

    • Takayuki Ochi, Kenji Hashizume, Satoshi Ishikawa, Toshiaki Takabatake, Takashi Takiguchi
    Pages 111-126

  10. Visual 3D Reconstruction of a Rotating Object in Space Environment with a Least-Squares Framework

    • Makoto Maruya, Takashi Takiguchi
    Pages 127-144

  11. Uniqueness of Inverse Source Problems for Time-Fractional Diffusion Equations with Singular Functions in Time

    • Yikan Liu, Masahiro Yamamoto
    Pages 145-162

  12. Long-time Asymptotic Estimate and a Related Inverse Source Problem for Time-Fractional Wave Equations

    • Xinchi Huang, Yikan Liu
    Pages 163-179

  13. A Big Data Processing Technique Based on Tikhonov Regularization

    • Yu Chen, Jin Cheng, Jiantang Zhang, Min Zhong
    Pages 181-213

  14. Quantitative Estimation of Crack on or Near Surface Using Laser-Ultrasonic Surface Wave: Numerical Simulation

    • Cheng Hua, Takashi Takiguchi
    Pages 215-228

  15. Enclosure Method for Inverse Problems with the Dirichlet and Neumann Combined Case

    • Mishio Kawashita, Wakako Kawashita
    Pages 229-245

  16. Algebraic Reconstruction of a Dipolar Wave Source from Observations on Several Points

    • Takashi Ohe, Misa Yokoyama
    Pages 247-261
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  1. Practical Inverse Problems and Their Prospects

Keywords

About this book

This book comprises select proceedings of the workshop “Practical inverse problems and their prospects” held online by zoom, from Mar 2nd to Mar. 4th, 2022, supported by Institute of Mathematics for Industry, Kyushu University focusing on cutting-edge research carried out in the areas of practical inverse problems based on industry-academia and interdisciplinary collaborations.


Various themes on practical inverse problems covered in this book are medical imaging, non-destructive and non-invasive inspections, viscoelastic waves, remote sensing, infrared light tomography, maintenance of infrastructure, and so on, and mathematical theories in inverse problems are also handled in these proceedings.



All papers in this book are written by qualified authors in the practical inverse problems area and also the papers are newly announced. Readers can get leading-edge information on practical inverse problems.

Editors and Affiliations

  • Department of Mathematics, National Defense Academy of Japan, Yokosuka, Japan

    Takashi TAKIGUCHI

  • Okayama University of Science, Okayama, Japan

    Takashi OHE

  • School of Mathematical Sciences, Fudan University, Shanghai, China

    Jin Cheng

  • Department of Aeronautics and Astronautics, Fudan University, Shanghai, China

    Cheng HUA

About the editors

Jin Cheng is Professor at Fudan University. He is one of the leading researchers in Inverse problems. He received his Ph.D. in Mathematics from Fudan University. He made many contributions in theoretical and practical inverse problems and is on the editorial baord of the journal "Inverse Problems".

Cheng Hua is a researcher in solid physics, working at Fudan University. He received his Ph.D. in Mechanical Engineering from the University of Tokyo. He made important contributions on the theory of Rayleigh waves. He is now engaged in developing a new non-destructive inspection technology for concrete structures by application of Rayleigh waves.

Takashi Ohe is Professor at Okayama University of Science. He is a researcher in both inverse problems and numerical analysis.
He received his Ph.D. in Engineering from Osaka University. In the research of some inverse problems, his numeraical analyses led theoretical researches, since his numeraical analyses and experiments showed the way theorecical researches should proceed.

Takashi Takiguchi is a researcher in both inverse problems and microlocal analysis, working at National Defense Academy of Japan.
He received his Ph.D. in Mathematical Sciences from the University of Tokyo. For the last decade, he engaged in the researches in practical inverse problems based on industry-academia and interdisciplinary collaborations. He organized an international workshop on practical inverse prblems about once a year and contributed to the promotion of industry-academia and interdisciplinary collaborations.
​

Bibliographic Information

  • Book Title: Practical Inverse Problems and Their Prospects

  • Book Subtitle: Proceedings of PIPTP

  • Editors: Takashi TAKIGUCHI, Takashi OHE, Jin Cheng, Cheng HUA

  • Series Title: Mathematics for Industry

  • DOI: https://doi.org/10.1007/978-981-99-2408-0

  • Publisher: Springer Singapore

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2023

  • Hardcover ISBN: 978-981-99-2407-3Published: 10 September 2023

  • Softcover ISBN: 978-981-99-2471-4Due: 11 October 2023

  • eBook ISBN: 978-981-99-2408-0Published: 09 September 2023

  • Series ISSN: 2198-350X

  • Series E-ISSN: 2198-3518

  • Edition Number: 1

  • Number of Pages: XIV, 261

  • Number of Illustrations: 28 b/w illustrations, 85 illustrations in colour

  • Topics: Biomedical Engineering and Bioengineering, Cancer Research, Materials Science, general, Minimally Invasive Surgery, Engineering Mathematics

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