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Mathematical Methods in Image Processing and Inverse Problems

IPIP 2018, Beijing, China, April 21–24

  • Conference proceedings
  • © 2021

Overview

Editors:
  1. Xue-Cheng Tai

    1. Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong

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  2. Suhua Wei

    1. Institute of Applied Physics and Computational Mathematics, Beijing, China

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    You can also search for this editor in PubMed   Google Scholar

  3. Haiguang Liu

    1. Beijing Computational Science Research Center, Beijing, China

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  • Includes 11 original research papers by invited speakers at IPIP2018 in honor of Professor Raymond Chan
  • Deals with efficient algorithms and advanced mathematical modeling in imaging processing, data science and inverse problems
  • Provides a good reference for researchers working on imaging science, inverse problems, optimization and PDE

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 360)

Included in the following conference series:

Conference proceedings info: IPIP 2018.

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Table of contents (11 papers)

  1. Front Matter

    Pages i-x
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  2. Point Spread Function Engineering for 3D Imaging of Space Debris Using a Continuous Exact \(\ell _0\) Penalty (CEL0) Based Algorithm

    • Chao Wang, Raymond H. Chan, Robert J. Plemmons, Sudhakar Prasad
    Pages 1-12

  3. An Adjoint State Method for An Schrödinger Inverse Problem

    • Siyang Wei, Shingyu Leung
    Pages 13-31

  4. Multi-modality Image Registration Models and Efficient Algorithms

    • Daoping Zhang, Anis Theljani, Ke Chen
    Pages 33-60

  5. Fast Algorithms for Surface Reconstruction from Point Cloud

    • Yuchen He, Martin Huska, Sung Ha Kang, Hao Liu
    Pages 61-80

  6. A Total Variation Regularization Method for Inverse Source Problem with Uniform Noise

    • Huan Pan, You-Wei Wen
    Pages 81-93

  7. Automatic Parameter Selection Based on Residual Whiteness for Convex Non-convex Variational Restoration

    • Alessandro Lanza, Serena Morigi, Fiorella Sgallari
    Pages 95-111

  8. Total Variation Gamma Correction Method for Tone Mapped HDR Images

    • Michael K. Ng, Motong Qiao
    Pages 113-138

  9. On the Optimal Proximal Parameter of an ADMM-like Splitting Method for Separable Convex Programming

    • Bingsheng He, Xiaoming Yuan
    Pages 139-163

  10. A New Initialization Method for Neural Networks with Weight Sharing

    • Xiaofeng Ding, Hongfei Yang, Raymond H. Chan, Hui Hu, Yaxin Peng, Tieyong Zeng
    Pages 165-179

  11. The Shortest Path AMID 3-D Polyhedral Obstacles

    • Shui-Nee Chow, Jun Lu, Hao-Min Zhou
    Pages 181-196

  12. Multigrid Methods for Image Registration Model Based on Optimal Mass Transport

    • Yangang Chen, Justin W. L. Wan
    Pages 197-221

  13. Back Matter

    Pages 223-223
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  1. Mathematical Methods in Image Processing and Inverse Problems

Keywords

About this book

This book contains eleven original and survey scientific research articles arose from presentations given by invited speakers at International Workshop on Image Processing and Inverse Problems, held in Beijing Computational Science Research Center, Beijing, China, April 21–24, 2018. The book was dedicated to Professor Raymond Chan on the occasion of his 60th birthday.

The contents of the book cover topics including image reconstruction, image segmentation, image registration, inverse problems and so on. Deep learning, PDE, statistical theory based research methods and techniques were discussed. The state-of-the-art developments on mathematical analysis, advanced modeling, efficient algorithm and applications were presented. The collected papers in this book also give new research trends in deep learning and optimization for imaging science. It should be a good reference for researchers working on related problems, as well as for researchers working on computer vision and visualization, inverse problems, image processing and medical imaging.


Editors and Affiliations

  • Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong

    Xue-Cheng Tai

  • Institute of Applied Physics and Computational Mathematics, Beijing, China

    Suhua Wei

  • Beijing Computational Science Research Center, Beijing, China

    Haiguang Liu

Bibliographic Information

  • Book Title: Mathematical Methods in Image Processing and Inverse Problems

  • Book Subtitle: IPIP 2018, Beijing, China, April 21–24

  • Editors: Xue-Cheng Tai, Suhua Wei, Haiguang Liu

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-981-16-2701-9

  • Publisher: Springer Singapore

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Singapore Pte Ltd. 2021

  • Hardcover ISBN: 978-981-16-2700-2Published: 27 September 2021

  • Softcover ISBN: 978-981-16-2703-3Published: 28 September 2022

  • eBook ISBN: 978-981-16-2701-9Published: 25 September 2021

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: X, 223

  • Number of Illustrations: 9 b/w illustrations, 63 illustrations in colour

  • Topics: Applications of Mathematics, Image Processing and Computer Vision, Analysis

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