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   Book Publication List

               

           


  1. Classical and Discrete Differential Geometry

    Xianfeng Gu and Emil Saucan
    Publisher: CRC Press and Posts & Telecom Press, ISBN 978-1-032-39017-8, 2022. (608 Pages)

    DOI: 10.1201/9781003350576

    [BibTex]


  2. Computational Conformal Geometry

    Xianfeng Gu and Shing-Tung Yau
    Series: Advanced Lectures in Mathematics, Vol 3, Publisher: International Press and Higher Education Press, ISBN 978-1-57146-171-1, 2007. (317 Pages)

    https://www.amazon.com/Computational-Conformal-Geometry-softcover-Mathematics/dp/1571463240

    [BibTex]


  3. Variational Principles for Discrete Surfaces

    Feng Luo, Xianfeng Gu and Junfei Dai
    Series: Advanced Lectures in Mathematics, Vol 4, Publisher: International Press and Higher Education Press, ISBN 978-1-57146-172-8, 2007. (164 Pages)

    https://www.amazon.com/Variational-Principles-Discrete-Surfaces-Mathematics/dp/1571461728

    [BibTex]


  4. Ricci Flow for Shape Analysis and Surface Registration - Theories, Algorithms and Applications

    Wei Zeng and Xianfeng Gu
    Series: Springer Briefs in Mathematics, Publisher: Springer, ISBN 978-1-4614-8780-7, 2013. (145 Pages)

    https://www.springer.com/gp/book/9781461487807

    [BibTex]


  5. Conformal Geometry, Computational Algorithms and Engineering Applications

    Miao Jin, Xianfeng Gu, Ying He and Yalin Wang
    Publisher: Springer International Publishing, ISBN 978-3-319-75330-0, 2018. (332 Pages)

    https://www.springer.com/gp/book/9783319753300

    [BibTex]


  6. Parameterization Algorithms for 3D Model: Theory and Realization

    Hui Zhao, Xianfeng Gu and Na Lei
    Publisher: Publishing House of Electronics Industry, ISBN-13: 978-7121316821, 2017. (261 Pages)

    https://item.jd.com/64182319576.html

    [BibTex]


  7. Deformation Algorithms for 3D Model: Theory and Realization

    Hui Zhao, Xianfeng Gu and Na Lei
    Publisher: Publishing House of Electronics Industry, ISBN-13: 978-7121316784, 2017. (300 Pages)

    https://item.jd.com/25567706474.html

    [BibTex]


  8. Computational Conformal Geometry

    Xianfeng Gu and Shing-Tung Yau
    Publisher: International Press and Higher Education Press, 2020. (603 Pages)

    Book link

    [BibTex]


  9. Optimal Transportation Theory and Computation

    Na Lei and Xianfeng Gu
    Publisher: International Press and Higher Education Press, 2021. (450 Pages)

    Book link

    [BibTex]


   Book Chapter Publication List

  1. Recent Development of Computational Conformal Geometry

    Xianfeng Gu, Wei Zeng, Lok Ming Lui, Feng Luo and Shing-Tung Yau
    Selected Expository Works of Shing-Tung Yau with Commentary,
    Series: Advanced Lectures in Mathematics, Volume 29, Number 2, Pages 1069-1120 ,
    Editors: LiZheng Ji, Peter Li, Kefeng Liu and Richard Schoen
    Publisher: International Press of Boston, ISBN-13:978-1571462947, 2014.

    https://www.amazon.com/Selected-Expository-Shing-Tung-Commentary-Mathematics/dp/1571462945

    [BibTex]


  2. Conformal Geometry Applied in Engineering and Medical Imaging

    Xianfeng Gu
    Mathematics and Culture: Applications of Mathematics, Volume 18, Chapter 1, Pages 1-11
    Editors: Shing-Tung Yau, Kefeng Liu, Le Yang and Lizhen Ji,
    Publisher: Higher Education Press, ISBN:9787040428315, 2015.

    https://item.jd.com/11744021.html

    [BibTex]


  3. A Novel Colon Wall Flattening Model for Computed Tomographic Colonoscopy: Method and Validation

    Huafeng Wang, Lihong Li, Hao Han, Yunhong Wang, Weifeng Lv, Xianfeng Gu and Zhengrong Liang
    Bio-Imaging and Visualization for Patient-Customized Simulations
    Series: Lecture Notes in Computational Vision and Biomechanics, Volume 13,
    Publisher: Springer, ISBN:978-3-319-03589-5, 2014.

    https://www.springer.com/gp/book/9783319035895

    [BibTex]


  4. Colon Surface Registration Using Ricci Flow

    Wei Zeng, Rui Shi, Zhengyu Su and Xianfeng Gu
    Abdomen and Thoracic Imaging-An Engineering & Clinical Perspective
    Editors: Ayman S. El-Baz, Luca Saba, Jasjit S. Suri,
    Publisher: Springer, ISBN:978-1-4614-8497-4, Pages 389-419, 2013.

    https://www.springer.com/gp/book/9781461484974

    [BibTex]


  5. Efficient Topological Cleaning for Visual Colon Surface Flattening

    Wei Zeng, Rui Shi, Zhengyu Su and Xianfeng Gu
    Abdomen and Thoracic Imaging-An Engineering & Clinical Perspective
    Editors: Ayman S. El-Baz, Luca Saba, Jasjit S. Suri,
    Publisher: Springer, ISBN:978-1-4614-8497-4, Pages 421-441, 2013.

    https://www.springer.com/gp/book/9781461484974

    [BibTex]


  6. Metric and Heat Kernel

    Xianfeng Gu, Wei Zeng, Jian Sun, Ren Guo and Feng Luo
    Manifold Learning Theory and Applications
    Editors: Yunqian Ma and Yun Fu,
    Publisher: CRC Press, ISBN-13: 978-1439871096, Chapter VII, 2011.

    https://www.crcpress.com/Manifold-Learning-Theory-and-Applications/Ma-Fu/p/book/9781439871096

    [BibTex]


  7. Discrete Ricci Flow for Surface and 3-Manifold

    Xianfeng Gu, Feng Luo, Wei Zeng and Shing-Tung Yau
    Manifold Learning Theory and Applications
    Editors: Yunqian Ma and Yun Fu,
    Publisher: CRC Press, ISBN-13: 978-1439871096, Chapter VIII, 2011.

    https://www.crcpress.com/Manifold-Learning-Theory-and-Applications/Ma-Fu/p/book/9781439871096

    [BibTex]


  8. 3D Surface Representation Using Ricci Flow

    Wei Zeng, Feng Luo, Shing-Tung Yau and Xianfeng Gu
    Computer Vision: From Surfaces to 3D Objects
    Editor: Christopher W. Tyler
    Publisher: Chapman and Hall/CRC, ASIN: B00UV98NJ0, Chapter IV, Pages 65-94, 2011.

    https://www.crcpress.com/Computer-Vision-From-Surfaces-to-3D-Objects/Tyler/p/book/9780367383091

    [BibTex]


  9. Geometric Methods in Engineering Applications

    Xianfeng Gu, Yalin Wang, Hsiao-Bing Cheng, Li-Tien Cheng and Shing-Tung Yau
    Mathematics and Computation, a Contemporary View
    Series: Abel Symposia, Volume 3
    Editors: Hans Munthe-Kaas and Brynjulf Owren
    Publisher: Springer-Verlag, ISBN:978-3-540-68848-8, Pages 1-19, 2009.

    https://www.springer.com/gp/book/9783540688488

    [BibTex]


  10. Yau's Contributions to Engineering Fields

    Xianfeng Gu
    Geometry and Analysis
    Series: Advanced Lectures in Mathematics, Volume 17, Number 1, Pages 119-132,
    Editor: Lizhen Ji,
    Publisher: International Press Boston, ISBN-13: 978-1571462244, 2011.

    https://www.amazon.com/Geometry-Analysis-Advanced-Lectures-Mathematics/dp/1571462244

    [BibTex]


  11. Discrete Ricci Flow for Geometric Routing

    Jie Gao, Xianfeng Gu and Feng Luo
    Encyclopedia of Algorithm 2016
    Editor: Ming-Yang Kao,
    Publisher: Springer-Verlag New York, ISBN:978-1-4939-2863-7, Pages 556-563, 2016.

    https://www.springer.com/gp/book/9781493928637

    [BibTex]


  12. Computational Conformal Geometric Methods for Vision

    Na Lei, Feng Luo, Shing-Tung Yau and Xianfeng Gu
    Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging
    Editor: Ke Chen, Carola-Bibiane Schonlieb, Xue-Cheng Tai and Laurent Younes
    Publisher: Springer-Verlag Nationa 2020.

    [BibTex]


  13. Optimal Transport for Generative Models

    Na Lei, Feng Luo, Shing-Tung Yau and Xianfeng Gu
    Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging
    Editor: Ke Chen, Carola-Bibiane Schonlieb, Xue-Cheng Tai and Laurent Younes
    Publisher: Springer-Verlag Nationa 2020.

    [BibTex]