Publications


    Note: Undergraduate/graduate/postdoctoral research advisees are highlighted in purple.

    Preprints

  1. G. P. T. Choi, G. Notomista, M. Saveriano,
    Safe deadlock-free distance-constrained multi-robot control using quasi-conformal mappings and control barrier functions.
    Submitted.

  2. S. Yin, C. Liu, G. P. T. Choi, Y. Jung, K. Heuer, R. Toro, L. Mahadevan,
    Morphogenesis and morphometry of brain folding patterns across species.
    Preprint, bioRxiv 2025.03.05.641692.

  3. G. P. T. Choi, C. Liu, S. Yin, G. Séjourné, R. S. Smith, C. A. Walsh, L. Mahadevan,
    Biophysical basis for brain folding and misfolding patterns in ferrets and humans.
    Preprint, bioRxiv 2025.03.05.641682.

  4. S. Yao and G. P. T. Choi,
    Toroidal density-equalizing map for genus-one surfaces.
    Preprint, arXiv:2410.16833.

  5. R. Li and G. P. T. Choi,
    Explosive rigidity percolation in origami.
    Preprint, arXiv:2410.13945.

  6. Z. Lyu, L. M. Lui, and G. P. T. Choi,
    Ellipsoidal density-equalizing map for genus-0 closed surfaces.
    Preprint, arXiv:2410.12331.

    7. 2025

  7. S. Mosleh*, G. P. T. Choi*, and L. Mahadevan,
    Data-driven quasi-conformal morphodynamic flows.
    Proceedings of the Royal Society A, to appear. (*equal contribution)
    		8.

  8. G. P. T. Choi and M. Shaqfa,
    Hemispheroidal parameterization and harmonic decomposition of simply connected open surfaces.
    Journal of Computational and Applied Mathematics, 461, 116455, 2025.
    [PDF] [Code]

  9. G. Notomista, G. P. T. Choi, and M. Saveriano,
    Reactive robot navigation using quasi-conformal mappings and control barrier functions.
    IEEE Transactions on Control Systems Technology, 33(3), 928-939, 2025.
    [PDF] [Code] [Video]

  10. M. Shaqfa, G. P. T. Choi, G. Anciaux, and K. Beyer,
    Disk harmonics for analysing curved and flat self-affine rough surfaces and the topological reconstruction of open surfaces.
    Journal of Computational Physics, 522, 113578, 2025.
    [PDF] [Code]

    11. 2024

  11. G. P. T. Choi,
    Designing flexible mechanical metamaterials with complex functionalities.
    Nature Materials, 23(11), 1458-1460, 2024.
    [PDF]

  12. Z. Lyu, L. M. Lui, and G. P. T. Choi,
    Spherical density-equalizing map for genus-0 closed surfaces.
    SIAM Journal on Imaging Sciences, 17(4), 2110-2141, 2024.
    [PDF] [Code]

  13. G. P. T. Choi,
    Computational design of art-inspired metamaterials.
    Nature Computational Science, 4(8), 549-552, 2024.
    [PDF]

  14. T. Ohmura, D. J. Skinner, K. Neuhaus, G. P. T. Choi, J. Dunkel, and K. Drescher,
    In vivo microrheology reveals local elastic and plastic responses inside three-dimensional bacterial biofilms.
    Advanced Materials, 36(29), 2314059, 2024.
    [PDF] [Supplementary Information] [Supplementary Video 1, 2]
    Selected as Editors' Choice.

  15. G. P. T. Choi,
    Fast ellipsoidal conformal and quasi-conformal parameterization of genus-0 closed surfaces.
    Journal of Computational and Applied Mathematics, 447, 115888, 2024.
    [PDF] [Code]

  16. Z. Lyu, G. P. T. Choi, and L. M. Lui,
    Bijective density-equalizing quasiconformal map for multiply connected open surfaces.
    SIAM Journal on Imaging Sciences, 17(1), 706-755, 2024.
    [PDF]

    17. 2023

  17. S. Mosleh*, G. P. T. Choi*, G. M. Musser, H. F. James, A. Abzhanov, and L. Mahadevan,
    Beak morphometry and morphogenesis across avian radiations.
    Proceedings of the Royal Society B, 290(2007), 20230420, 2023. (*equal contribution)
    [PDF] [Code and Data]
    		18.

  18. Y. Guo, Q. Chen, G. P. T. Choi, and L. M. Lui,
    Automatic landmark detection and registration of brain cortical surfaces via quasi-conformal geometry and convolutional neural networks.
    Computers in Biology and Medicine, 163, 107185, 2023.
    [PDF]

  19. L. H. Dudte*, G. P. T. Choi*, K. P. Becker, and L. Mahadevan,
    An additive framework for kirigami design.
    Nature Computational Science, 3(5), 443-454, 2023. (*equal contribution)
    [PDF] [Supplementary Information] [Code]
    Featured in Nature Computational Sciences News & Views, MIT News, Harvard SEAS News.

  20. G. P. T. Choi, L. Liu, and L. Mahadevan,
    Explosive rigidity percolation in kirigami.
    Proceedings of the Royal Society A, 479(2271), 20220798, 2023.
    [PDF] [Code]
    		21.

  21. G. P. T. Choi and L. M. Lui,
    Recent developments of surface parameterization methods using quasi-conformal geometry.
    Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging, Springer, Cham, 1483-1523, 2023.
    [PDF]

  22. T. Dixit, G. P. T. Choi*, S. Al-Mosleh*, J. Lund, J. Troscianko, C. Moya, L. Mahadevan, and C. N. Spottiswoode,
    Combined measures of mimetic fidelity explain imperfect mimicry in a brood parasite-host system.
    Biology Letters, 19(2), 20220538, 2023. (*equal contribution)
    [PDF] [Supplementary Information] [Data]

  23. R. Supekar, B. Song, A. Hastewell, G. P. T. Choi, A. Mietke, and J. Dunkel,
    Learning hydrodynamic equations for active matter from particle simulations and experiments.
    Proceedings of the National Academy of Sciences, 120(7), e2206994120, 2023.
    [PDF] [Supplementary Information] [Supplementary Video 1, 2, 3] [Code and Data]

    24. 2022

  24. Z. Zhu, G. P. T. Choi, and L. M. Lui,
    Parallelizable global quasi-conformal parameterization of multiply connected surfaces via partial welding.
    SIAM Journal on Imaging Sciences, 15(4), 1765-1807, 2022.
    [PDF]

  25. L. Liu*, G. P. T. Choi*, and L. Mahadevan,
    Quasicrystal kirigami.
    Physical Review Research, 4(3), 033114, 2022. (*equal contribution)
    [PDF] [Supplementary Video 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12] [Code]
    Selected as Editors' Suggestion.

  26. S. Chen, F. Giardina, G. P. T. Choi, and L. Mahadevan,
    Modular representation and control of floppy networks.
    Proceedings of the Royal Society A, 478(2264), 20220082, 2022.
    [PDF] [Supplementary Information] [Supplementary Video 1, 2, 3, 4]
    		27.

  27. G. P. T. Choi, A. Giri, and L. Kumar,
    Adaptive area-preserving parameterization of open and closed anatomical surfaces.
    Computers in Biology and Medicine, 148, 105715, 2022.
    [PDF] [Code]

  28. D. Zhang, G. P. T. Choi, J. Zhang, and L. M. Lui,
    A unifying framework for n-dimensional quasi-conformal mappings.
    SIAM Journal on Imaging Sciences, 15(2), 960-988, 2022.
    [PDF]

  29. H. Law, G. P. T. Choi, K. C. Lam, and L. M. Lui,
    Quasiconformal model with CNN features for large deformation image registration.
    Inverse Problems and Imaging, 16(4), 1019-1046, 2022.
    [PDF]

  30. G. P. T. Choi, Y. Liu, and L. M. Lui,
    Free-boundary conformal parameterization of point clouds.
    Journal of Scientific Computing, 90(1), 14, 2022.
    [PDF] [Code]

    31. 2021

  31. S. Al-Mosleh, G. P. T. Choi, A. Abzhanov, and L. Mahadevan,
    Geometry and dynamics link form, function and evolution of finch beaks.
    Proceedings of the National Academy of Sciences, 118(46), e2105957118, 2021.
    [PDF] [Supplementary Information] [Supplementary Video 1, 2, 3] [Code and Data]
    Featured in Harvard SEAS News.

  32. G. P. T. Choi, L. H. Dudte, and L. Mahadevan,
    Compact reconfigurable kirigami.
    Physical Review Research, 3(4), 043030, 2021.
    [PDF] [Supplementary Video 1, 2, 3, 4, 5]
    		33.

  33. M. Shaqfa, G. P. T. Choi, and K. Beyer,
    Spherical cap harmonic analysis (SCHA) for characterising the morphology of rough surface patches.
    Powder Technology, 393, 837-856, 2021.
    [PDF] [Code]

  34. L. Liu*, G. P. T. Choi*, and L. Mahadevan,
    Wallpaper group kirigami.
    Proceedings of the Royal Society A, 477(2252), 20210161, 2021. (*equal contribution)
    [PDF] [Supplementary Video 1, 2]
    		35.

  35. B. Jarvis, G. P. T. Choi, B. Hockman, B. Morrell, S. Bandopadhyay, D. Lubey, J. Villa, S. Bhaskaran, D. Bayard, and I. A. Nesnas,
    3D shape reconstruction of small bodies from sparse features.
    IEEE Robotics and Automation Letters, 6(4), 7089-7096, 2021.
    [PDF]

  36. M. B. Edwards, G. P. T. Choi, N. Derieg, Y. Min, A. C. Diana, S. A. Hodges, L. Mahadevan, E. M. Kramer, and E. S. Ballerini,
    Genetic architecture of floral traits in bee- and hummingbird-pollinated sister species of Aquilegia (columbine).
    Evolution, 75(9), 2197-2216, 2021.
    [PDF] [Supplementary Information] [Data]

  37. L. H. Dudte, G. P. T. Choi, and L. Mahadevan,
    An additive algorithm for origami design.
    Proceedings of the National Academy of Sciences, 118(21), e2019241118, 2021.
    [PDF] [Supplementary Information] [Supplementary Video 1, 2, 3, 4, 5, 6, 7, 8, 9, 10] [Data]

  38. G. P. T. Choi,
    Efficient conformal parameterization of multiply-connected surfaces using quasi-conformal theory.
    Journal of Scientific Computing, 87(3), 70, 2021.
    [PDF] [Code] [Extension]

  39. G. P. T. Choi and C. H. Rycroft,
    Volumetric density-equalizing reference map with applications.
    Journal of Scientific Computing, 86(3), 41, 2021.
    [PDF] [Code]

  40. A. Giri*, G. P. T. Choi*, and L. Kumar,
    Open and closed anatomical surface description via hemispherical area-preserving map.
    Signal Processing, 180, 107867, 2021. (*equal contribution)
    [PDF] [Code]

    41. 2020

  41. G. P. T. Choi, S. Chen, and L. Mahadevan,
    Control of connectivity and rigidity in prismatic assemblies.
    Proceedings of the Royal Society A, 476(2244), 20200485, 2020.
    [PDF] [Code]

  42. G. P. T. Choi, D. Qiu, and L. M. Lui,
    Shape analysis via inconsistent surface registration.
    Proceedings of the Royal Society A, 476(2242), 20200147, 2020.
    [PDF] [Code]

  43. A. Chakrabarti, G. P. T. Choi, and L. Mahadevan,
    Self-excited motions of volatile drops on swellable sheets.
    Physical Review Letters, 124(25), 258002, 2020.
    [PDF] [Supplementary Information] [Supplementary Video 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
    Featured in Harvard SEAS News, Phys.org, Tech Explorist etc.

  44. G. P. T. Choi, Y. Leung-Liu, X. Gu, and L. M. Lui,
    Parallelizable global conformal parameterization of simply-connected surfaces via partial welding.
    SIAM Journal on Imaging Sciences, 13(3), 1049-1083, 2020.
    [PDF]

  45. S. Chen*, G. P. T. Choi*, and L. Mahadevan,
    Deterministic and stochastic control of kirigami topology.
    Proceedings of the National Academy of Sciences, 117(9), 4511-4517, 2020. (*equal contribution)
    [PDF] [Supplementary Information] [Code]

  46. G. P. T. Choi, B. Chiu, and C. H. Rycroft,
    Area-preserving mapping of 3D carotid ultrasound images using density-equalizing reference map.
    IEEE Transactions on Biomedical Engineering, 67(9), 1507-1517, 2020.
    [PDF]

  47. G. P. T. Choi, H. L. Chan, R. Yong, S. Ranjitkar, A. Brook, G. Townsend, K. Chen, and L. M. Lui,
    Tooth morphometry using quasi-conformal theory.
    Pattern Recognition, 99, 107064, 2020.
    [PDF] [Code]

    48. 2019

  48. A. Pumarola, J. Sanchez-Riera, G. P. T. Choi, A. Sanfeliu, and F. Moreno-Noguer,
    3DPeople: Modeling the geometry of dressed humans.
    The IEEE International Conference on Computer Vision (ICCV), 2242-2251, 2019.
    [PDF] [Supplementary Video] [Code] [Dataset]
    Featured in AI3 | Theory, Practice, Business, Synced etc.

  49. G. P. T. Choi, L. H. Dudte, and L. Mahadevan,
    Programming shape using kirigami tessellations.
    Nature Materials, 18(9), 999-1004, 2019.
    [PDF] [Supplementary Information] [Supplementary Video] [Code]
    Cover article of Nature Materials. Featured in Harvard SEAS News, Science Daily, Interesting Engineering, Phys.org, fabcross (in Japanese), Asahi Shimbun (in Japanese), Popular Mechanics etc.

    50. 2018

  50. G. P. T. Choi and L. Mahadevan,
    Planar morphometrics using Teichmüller maps.
    Proceedings of the Royal Society A, 474(2217), 20170905, 2018.
    [PDF] [Supplementary Information] [Code] [Extension]

  51. C. P. Yung, G. P. T. Choi, K. Chen, and L. M. Lui,
    Efficient feature-based image registration by mapping sparsified surfaces.
    Journal of Visual Communication and Image Representation, 55, 561-571, 2018.
    [PDF] [Code]

  52. G. P. T. Choi and C. H. Rycroft,
    Density-equalizing maps for simply connected open surfaces.
    SIAM Journal on Imaging Sciences, 11(2), 1134-1178, 2018.
    [PDF] [Code]

  53. G. P. T. Choi and L. M. Lui,
    A linear formulation for disk conformal parameterization of simply-connected open surfaces.
    Advances in Computational Mathematics, 44(1), 87-114, 2018.
    [PDF] [Code]

    54. 2017

  54. G. P. T. Choi, Y. Chen, L. M. Lui, and B. Chiu,
    Conformal mapping of carotid vessel wall and plaque thickness measured from three-dimensional ultrasound images.
    Medical & Biological Engineering & Computing, 55(12), 2183-2195, 2017.
    [PDF]

    55. 2016

  55. G. P. T. Choi, M. H. Y. Man, and L. M. Lui,
    Fast spherical quasiconformal parameterization of genus-0 closed surfaces with application to adaptive remeshing.
    Geometry, Imaging and Computing, 3(1-2), 1-29, 2016.
    [PDF]

  56. T. W. Meng, G. P. T. Choi, and L. M. Lui,
    TEMPO: Feature-endowed Teichmüller extremal mappings of point clouds.
    SIAM Journal on Imaging Sciences, 9(4), 1922-1962, 2016.
    [PDF] [Code]

  57. G. P. T. Choi, K. T. Ho, and L. M. Lui,
    Spherical conformal parameterization of genus-0 point clouds for meshing.
    SIAM Journal on Imaging Sciences, 9(4), 1582-1618, 2016.
    [PDF] [Code]

    58. 2015

  58. P. T. Choi and L. M. Lui,
    Fast disk conformal parameterization of simply-connected open surfaces.
    Journal of Scientific Computing, 65(3), 1065-1090, 2015.
    [PDF] [Code]

  59. P. T. Choi, K. C. Lam, and L. M. Lui,
    FLASH: Fast landmark aligned spherical harmonic parameterization for genus-0 closed brain surfaces.
    SIAM Journal on Imaging Sciences, 8(1), 67-94, 2015.
    [PDF] [Code]



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