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Guojun Gordon Liao

Name

[Guojun G Liao]
  • Professor, Mathematics

Biography

Dr. Guojun Liao is a professor of mathematics at the University of Texas, Arlington. He received his B.S. in mathematical mechanics from Peking University and his PhD in mathematics from the University of California, Berkeley. His PhD dissertation is in differential geometry, supervised under Professor Rick Schoen. After one-year appointment as a Postdoc under the supervision of Professor S.T. Yau at UCSD and a three-year appointment as a research instructor at the University of Utah, Dr. Liao joined UT Arlington as an associate professor in 1989. He received tenure in 1992, and was promoted to the full professor rank in 2000. In addition to teaching at the undergraduate and graduate levels, he supervises Masters and PhD students and conducts cutting-edge research in applied and computational mathematics. His research in adaptive grid generation, image registration, and computer vision was partially supported by the National Science Foundation and DARPA. Dr. Liao¬¬ collaborated with Professors Dale Anderson and Frank Lu of the AME Department at UT Arlington. He also collaborated with Professor Stan Osher when he visited UCLA as a visiting associate professor. Dr. Liao was a Principal Investigator on a collaborative research grant from NSF with Professor Max Gunzburger of Florida State University. Recently Dr. Liao proposed innovative techniques for medical image analysis, and is actively seeking funding from the National Institute of Health and other federal funding agencies. He can be contacted at liao@uta.edu

Education

    • 1985 PhD in Mathematics
      Univ of Calif Berkeley, 1985
    • 1983 MA in Mathematics
      Univ of Calif Berkeley, 1983
    • 1968 BS in Mathematical Mechanics
      Peking University, 1968

Publications

      Conference Proceeding 2019
      • Learning rate based on Jacobian determinant and modified U-net for medical brain image segmentation
        BASIC ¥& CLINICAL PHARMACOLOGY ¥& TOXICOLOGY
        [Zhu, Yongpei, Zhou, Zicong, Liao, Guojun, Yang, Qianxi, Yuan, Kehong]. 125, 3--4.

      Other 2019
      • Deformable Registration Using Average Geometric Transformations for Brain MR Images
        [Zhu, Yongpei, Zhou, Zicong, Liao, Guojun, Yuan, Kehong].

      Journal Article 2019
      • Effects of Differential Geometry Parameters on Grid Generation and Segmentation of MRI Brain Image
        [Zhu, Yongpei, Zhou, Zicong, Liao, Guojun, Yang, Qianxi, Yuan, Kehong]. IEEE Access. "IEEE".

      Manuscript 2018
      • Computational Technologies for Brain Morphometry
        [Zhou, Zicong, Hildebrand, Ben, Chen, Xi, Liao, GuojunG]. ArXiv. 2, Ithaca, New York: "Cornell University".
        https://arxiv.org/pdf/1810.04833.pdf
      2018
      • The method of multimodal MRI brain image segmentation based on differential geometric features
        [Zhu, Yongpei, Zhou, Zicong, LIAO, GUOJUNG, Yuen, Kehong, Yang, Qianxi]. ArXiv. 2, Ithaca, New York: "Cornell University".
        http://export.arxiv.org/pdf/1811.04281

      Manuscript 2017
      • A Novel Deformation Method for Higher Order Mesh Generation
        [Zhou, Zicong, Chen, Xi, Liao, GuojunG]. ArXiv. 1, Ithaca, New York: "Cornell University".
        https://arxiv.org/pdf/1710.00291.pdf
      2017
      • Uniqueness of Transformation Based on Jacobian Determinant and Curl Vector
        [Zhou, Zicong, Chen, Xi, Cai, Xianxin, Liao, GuojunG]. ArXiv. 2, Ithaca, New York: "Cornell University".

      Manuscript 2016
      • New method of averaging diffeomorphisms based on Jacobian determinant and curl vector
        [Chen, Xi, Liao, GuojunG]. ArXiv. 1, Ithaca, New York: "Cornell University".
        https://arxiv.org/pdf/1611.03946.pdf

      Manuscript Published
      • A New Method for Triangular Mesh Generation
        [Liao, Guojun G, Chen, Xi, Hildebrand, Ben, Cai, Xianxin, Fleitas, Dion]. ArXiv. 1, Ithaca, New York: "Cornell University".
        https://arxiv.org/pdf/1507.03699.pdf

      Journal Article Accepted
      Manuscript 2015
      • New Variational Method of Grid Generation with Prescribed Jacobian determinant and Prescribed Curl
        [Chen, Xi, Liao, GuojunG]. ArXiv. 1, Ithaca, New York: "Cornell University".
        https://arxiv.org/pdf/1507.03715.pdf

      Journal Article 2012
      • A Note on Geometric Conservation Law
        no
        [Liao, GuojunG, Chen, Xi]. Advances in Computational Mathematics and its Applications. 2(1), 3. Singapore: "World Science Publisher".

Presentations

    • February  2019
      Zhou, Zicong (Author & Presenter), LIAO, GUOJUNG (Author), "Optimal Control Method for Non-rigid image Registration", SIAM, Spokane, WA. (February , 2019).
    • January  2019
      Zhou, Zicong (Author & Presenter), LIAO, GUOJUNG (Author), "Averaging Images by Averaging Diffeomorphisms", AMS AMM, Baltimore, MD. (January , 2019).
    • December  2018
      Zhou, Zicong (Author & Presenter), LIAO, GUOJUNG (Author), "Optimal Control Method for Non-rigid image Registration", IEEE, Springer, International Neural Network Society, Lecture Notes in CS, UT Arlington, Arlington, TX. (December , 2018).
    • July  2018
      Zhou, Zicong (Author & Presenter), LIAO, GUOJUNG (Author), "Uniqueness of Transformation based on Jacobian Determinant and Curl vector", SIAM, Portland, OR. (July , 2018).
    • April  2018
      Zhou, Zicong (Author & Presenter), LIAO, GUOJUNG (Author), "Uniqueness of Transformation based on Jacobian Determinant and Curl vector, 9th Scientific Software Days (SSD), ", University of Texas, Austin TX, Austin, TX. (April , 2018).
    • September  2017
      Zhou, Zicong (Author & Presenter), LIAO, GUOJUNG (Author), "A Novel Higher Order Meshing based on Deformation Method in Mesh generation", AMS Section, Denton, TX. (September , 2017).
    • August  2017
      LIAO, GUOJUNG (Author & Presenter), "New developments in mesh generation and adaptation ", Computational Mathematics Society, China, Hunan, China. (August , 2017).
    • July  2017
      Zhong, Zicong (Author & Presenter), LIAO, GUOJUNG (Author), "A Novel Higher Order Meshing based on Deformation Method in Mesh generation", SIAM, Pittsburg, PA. (July , 2017).
    • June  2016
      LIAO, GUOJUNG, "Grid Generation with Prescribed Jacobian and Curl vector", East Asia SIAM, Macao, China. (June , 2016).
    • June  2016
      LIAO, GUOJUNG (Author & Presenter), "Mathematics of Human Eye Accommodation", Shanghai Economics and Financial University, China, Shanghai, China. (June , 2016).
    • October  2015
      LIAO, GUOJUNG (Author & Presenter), Chen, Xi (Author), Hildebrand, Ben (Author), "New Techniques for Grid Generation and Adaptation", Sandia Lab, Austin, TX. (October , 2015).
    • July  2013
      LIAO, GUOJUNG (Author & Presenter), "Grid Generation and Deformation", Taiwan University, Taipei. (July , 2013).
    •  2012
      LIAO, GUOJUNG (Author & Presenter), ". Image registration based on grid deformation method", Zhongshan University, Guangzhou, China. ( , 2012).

Support & Funding

This data is entered manually by the author of the profile and may duplicate data in the Sponsored Projects section.
    • Aug 2006 to July 2010 A Geometric Method for Image Registration sponsored by  - $135995
      Guojun Liao (Funded)
    • July 2003 to June 2007 Collaborative Research: Mesh Free Least Squares Particle FEM sponsored by  - $61710
      Guojun Liao (Funded)
    • June 1998 to May 2003 Deformation Methods for Grid Adaptation sponsored by  - $186000
      Guojun Liao (Funded)

Students Supervised

    • Present
      Ben Hidebrand,
    • Aug 2019
      Zicong Zhou, This student successfully defended his PhD dissertation in Summer 11 week 2019. (Mathematics)
      medical image analysis

Courses

      • MATH 3335-001 ANALYSIS I
        (Course Id: 108373)
        Spring - Regular Academic Session - 2020
      • MATH 3330-002 INTRO MATRICES/ LINEAR ALGEBRA
        (Course Id: 108372)
        Spring - Regular Academic Session - 2020
      • MATH 3330-006 INTRO MATRICES/ LINEAR ALGEBRA
        (Course Id: 108372)
        Spring - Regular Academic Session - 2020
      • MATH 3330-006 INTRO MATRICES/ LINEAR ALGEBRA
        (Course Id: 108372)
        Fall - Regular Academic Session - 2019
      • MATH 5399-005 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Fall - Regular Academic Session - 2019
      • MATH 5392-003 SELECTED TOPICS IN MATH
        (Course Id: 108487)
        Fall - Regular Academic Session - 2019
      • MATH 2425-100 CALCULUS II
        (Course Id: 108353)
        Summer - Five Week - First - 2019
      • MATH 2425-101 CALCULUS II
        (Course Id: 108353)
        Summer - Five Week - First - 2019
      • MATH 7399-001 DOCTORAL DEGREE COMPLETION
        (Course Id: 111647)
        Summer - Eleven Week - 2019
      • MATH 3335-001 ANALYSIS I
        (Course Id: 108373)
        Spring - Regular Academic Session - 2019
      • MATH 3330-002 INTRO MATRICES/ LINEAR ALGEBRA
        (Course Id: 108372)
        Spring - Regular Academic Session - 2019
      • MATH 5399-001 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Spring - Regular Academic Session - 2019
      • MATH 3319-002 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Fall - Regular Academic Session - 2018
      • MATH 6699-007 DISSERTATION
        (Course Id: 110860)
        Fall - Regular Academic Session - 2018
      • MATH 7399-001 DOCTORAL DEGREE COMPLETION
        (Course Id: 111647)
        Fall - Regular Academic Session - 2018
      • MATH 3330-002 INTRO MATRICES/ LINEAR ALGEBRA
        (Course Id: 108372)
        Fall - Regular Academic Session - 2018
      • MATH 6699-001 DISSERTATION
        (Course Id: 110860)
        Summer - Eleven Week - 2018
      • MATH 3319-003 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370 | Servlearn: No)
        Spring - Regular Academic Session - 2018 Download Syllabus
      • MATH 3330-003 INTRO MATRICES/ LINEAR ALGEBRA
        (Course Id: 108372 | Servlearn: No)
        Spring - Regular Academic Session - 2018 Download Syllabus
      • MATH 5699-002 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Spring - Regular Academic Session - 2018
      • MATH 3319-003 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370 | Servlearn: No)
        Fall - Regular Academic Session - 2017 Download Syllabus
      • MATH 3330-002 INTRO MATRICES/ LINEAR ALGEBRA
        (Course Id: 108372 | Servlearn: No)
        Fall - Regular Academic Session - 2017 Download Syllabus
      • MATH 5699-002 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Fall - Regular Academic Session - 2017
      • MATH 1426-100 CALCULUS I
        (Course Id: 108344)
        Summer - Five Week - First - 2017
      • MATH 1426-101 CALCULUS I
        (Course Id: 108344)
        Summer - Five Week - First - 2017
      • MATH 5699-002 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Summer - Eleven Week - 2017
      • MATH 3335-001 ANALYSIS I
        (Course Id: 108373 | Servlearn: No)
        Spring - Regular Academic Session - 2017 Download Syllabus
      • MATH 3330-004 INTRO MATRICES/ LINEAR ALGEBRA
        (Course Id: 108372 | Servlearn: No)
        Spring - Regular Academic Session - 2017 Download Syllabus
      • MATH 5699-001 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Spring - Regular Academic Session - 2017
      • MATH 2326-003 CALCULUS III
        (Course Id: 108349 | Servlearn: No)
        Fall - Regular Academic Session - 2016 Download Syllabus
      • MATH 3330-002 INTRO MATRICES/ LINEAR ALGEBRA
        (Course Id: 108372 | Servlearn: No)
        Fall - Regular Academic Session - 2016 Download Syllabus
      • MATH 5699-003 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Fall - Regular Academic Session - 2016
      • MATH 1315-001 COLLEGE ALGEBRA ECON/BUS ANLYS
        (Course Id: 108328)
        Summer - Five Week - Second - 2016
      • MATH 7399-001 DOCTORAL DEGREE COMPLETION
        (Course Id: 111647)
        Summer - Eleven Week - 2016
      • MATH 5399-002 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Summer - Eleven Week - 2016
      • MATH 3319-003 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370 | Servlearn: No)
        Spring - Regular Academic Session - 2016 Download Syllabus
      • MATH 6699-008 DISSERTATION
        (Course Id: 110860)
        Spring - Regular Academic Session - 2016
      • MATH 3330-003 INTRO MATRICES/ LINEAR ALGEBRA
        (Course Id: 108372 | Servlearn: No)
        Spring - Regular Academic Session - 2016 Download Syllabus
      • MATH 5399-001 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Spring - Regular Academic Session - 2016
      • MATH 5391-004 SPECIAL TOPICS IN MATH
        (Topic: Research in Math Education | Course Id: 108486)
        Spring - Regular Academic Session - 2016
      • MATH 3319-002 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370 | Servlearn: No)
        Fall - Regular Academic Session - 2015 Download Syllabus
      • MATH 6699-004 DISSERTATION
        (Course Id: 110860)
        Fall - Regular Academic Session - 2015
      • MATH 3330-005 INTRO MATRICES/ LINEAR ALGEBRA
        (Course Id: 108372 | Servlearn: No)
        Fall - Regular Academic Session - 2015 Download Syllabus
      • MATH 5395-001 SPECIAL PROJECT
        (Course Id: 108489)
        Fall - Regular Academic Session - 2015
      • MATH 5391-003 SPECIAL TOPICS IN MATH
        (Topic: Poincare Superalgebras | Course Id: 108486)
        Fall - Regular Academic Session - 2015
      • MATH 2326-001 CALCULUS III
        (Course Id: 108349)
        Summer - Five Week - First - 2015
      • MATH 3335-001 ANALYSIS I
        (Course Id: 108373 | Servlearn: No)
        Spring - Regular Academic Session - 2015 Download Syllabus
      • MATH 3330-003 INTRO MATRICES/ LINEAR ALGEBRA
        (Course Id: 108372 | Servlearn: No)
        Spring - Regular Academic Session - 2015 Download Syllabus
      • MATH 5699-006 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Spring - Regular Academic Session - 2015
      • MATH 5395-007 SPECIAL PROJECT
        (Course Id: 108489)
        Spring - Regular Academic Session - 2015
      • MATH 5391-001 SPECIAL TOPICS IN MATH
        (Course Id: 108486)
        Spring - Regular Academic Session - 2015
      • MATH 3330-002 INTRO MATRICES/ LINEAR ALGEBRA
        (Course Id: 108372 | Servlearn: No)
        Fall - Regular Academic Session - 2014 Download Syllabus
      • MATH 5699-005 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Fall - Regular Academic Session - 2014
      • MATH 5392-003 SELECTED TOPICS IN MATH
        (Topic: Topics in Engineering Math. | Course Id: 108487 | Servlearn: No)
        Fall - Regular Academic Session - 2014 Download Syllabus
      • MATH 5391-002 SPECIAL TOPICS IN MATH
        (Course Id: 108486)
        Fall - Regular Academic Session - 2014
      • MATH 1316-001 MATH ECON & BUS ANLYS
        (Course Id: 108329)
        Summer - Five Week - Second - 2014
      • MATH 5391-004 SPECIAL TOPICS IN MATH
        (Topic: Variational Methods | Course Id: 108486)
        Summer - Five Week - Second - 2014
      • MATH 4335-001 ANALYSIS II
        (Course Id: 108399 | Servlearn: No)
        Spring - Regular Academic Session - 2014 Download Syllabus
      • MATH 5699-004 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Spring - Regular Academic Session - 2014
      • MATH 5392-002 SELECTED TOPICS IN MATH
        (Topic: Variational Methods | Course Id: 108487 | Servlearn: No)
        Spring - Regular Academic Session - 2014 Download Syllabus
      • MATH 5391-002 SPECIAL TOPICS IN MATH
        (Course Id: 108486)
        Spring - Regular Academic Session - 2014
      • MATH 3335-001 ANALYSIS I
        (Course Id: 108373 | Servlearn: No)
        Fall - Regular Academic Session - 2013 Download Syllabus
      • MATH 5322-001 COMPLEX VARIABLES I
        (Course Id: 108436 | Servlearn: No)
        Fall - Regular Academic Session - 2013 Download Syllabus
      • MATH 5391-004 SPECIAL TOPICS IN MATH
        (Topic: Grid Adaptation | Course Id: 108486)
        Fall - Regular Academic Session - 2013
      • MATH 2326-001 CALCULUS III
        (Course Id: 108349)
        Summer - Five Week - First - 2013
      • MATH 5391-001 SPECIAL TOPICS IN MATH
        (Topic: Grid Deformation & Image | Course Id: 108486)
        Summer - Five Week - First - 2013
      • MATH 4335-001 ANALYSIS II
        (Course Id: 108399 | Servlearn: No)
        Spring - Regular Academic Session - 2013 Download Syllabus
      • MATH 5392-003 SELECTED TOPICS IN MATH
        (Topic: Mathematics for Image | Course Id: 108487 | Servlearn: No)
        Spring - Regular Academic Session - 2013 Download Syllabus
      • MATH 2326-003 CALCULUS III
        (Course Id: 108349 | Servlearn: No)
        Fall - Regular Academic Session - 2012 Download Syllabus
      • MATH 3330-003 INTRO MATRICES/ LINEAR ALGEBRA
        (Course Id: 108372 | Servlearn: No)
        Fall - Regular Academic Session - 2012 Download Syllabus
      • MATH 5391-005 SPECIAL TOPICS IN MATH
        (Topic: Math of Image Processing | Course Id: 108486)
        Fall - Regular Academic Session - 2012
      • MATH 2326-001 CALCULUS III
        (Course Id: 108349)
        Summer - Five Week - Second - 2012
      • MATH 5391-001 SPECIAL TOPICS IN MATH
        (Course Id: 108486)
        Summer - Five Week - Second - 2012
      • MATH 2326-002 CALCULUS III
        (Course Id: 108349)
        Spring - Regular Academic Session - 2012
      • MATH 3319-003 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Spring - Regular Academic Session - 2012
      • MATH 5391-005 SPECIAL TOPICS IN MATH
        (Course Id: 108486)
        Spring - Regular Academic Session - 2012
      • MATH 2326-003 CALCULUS III
        (Course Id: 108349)
        Fall - Regular Academic Session - 2011
      • MATH 3319-003 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Fall - Regular Academic Session - 2011
      • MATH 5395-005 SPECIAL PROJECT
        (Course Id: 108489)
        Fall - Regular Academic Session - 2011
      • MATH 1322-001 PRECALCULUS I
        (Course Id: 108334)
        Summer - Five Week - First - 2011
      • MATH 3330-001 INTRO MATRICES/ LINEAR ALGEBRA
        (Course Id: 108372)
        Spring - Regular Academic Session - 2011
      • MATH 3315-001 MATHEMATICAL MODELS
        (Course Id: 108367)
        Spring - Regular Academic Session - 2011
      • MATH 5395-007 SPECIAL PROJECT
        (Course Id: 108489)
        Spring - Regular Academic Session - 2011
      • MATH 5361-001 APPLIED CALCULUS OF VARIATION
        (Course Id: 108475)
        Fall - Regular Academic Session - 2010
      • MATH 5333-001 LINEAR ALGEBRA AND MATRICES
        (Course Id: 108447)
        Fall - Regular Academic Session - 2010
      • MATH 2326-001 CALCULUS III
        (Course Id: 108349)
        Summer - Five Week - Second - 2010
      • MATH 2425-004 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2010
      • MATH 2425-104 CALCULUS II
        (Course Id: 108353)
        Spring - Regular Academic Session - 2010
      • MATH 5392-008 SELECTED TOPICS IN MATH
        (Topic: Image Processing | Course Id: 108487)
        Spring - Regular Academic Session - 2010
      • MATH 2326-003 CALCULUS III
        (Course Id: 108349)
        Fall - Regular Academic Session - 2009
      • MATH 6999-006 DISSERTATION
        (Course Id: 110861)
        Fall - Regular Academic Session - 2009
      • MATH 1316-010 MATH ECON & BUS ANLYS
        (Course Id: 108329)
        Fall - Regular Academic Session - 2009