People

Kim, Yunho

Assistant Professor
Mathematical Sciences
UNIST

SNS 108, 301-11
yunhokim@unist.ac.kr

Education

  • Ph.D. in Mathematics, University of California Los Angeles, USA 2009
  • B.S. in Mathematics, POSTECH, Korea 2000

Research Interest

Calculus of variations, Optimization Theory, Partial Differential Equations, Interests Inverse Problems, Computational Mathematics, Image Analysis, Medical/Biomedical Imaging. Specific topics are
(Click this link to visit my project page.)

  1. Phase Field Modeling
    -- Mass conserving Allen-Cahn equations and their analytical and numerical properties

  2. 3D reconstruction of flexible protein structures from Cryo-EM imaging
    -- 3D volume reconstruction, characterization of structural flexibility, etc.

  3. Image restoration/decomposition/segmentation
    -- PDE and variational frameworks

  4. Analyzing a unified variational framework for eigenvalue problems
    -- Understanding eigenvectors in variational frameworks without eigenvalues known: symmetric and non-symmetric diagonalizable cases, real and complex cases

  5. Neuromorphic Computing - RCN (Reservoir Computing Networks)
    -- RCN has an advantage over Deep Learning, in that, complex dynamical systems take actions in the learning process.

Current Members

  1. Dongsun Lee (Postdoc), Ph.D. in mathematics on Phase field modeling
    -- working on Cryo-EM

  2. Joo Dong Yun (Ph.D. student), M.S. in Electrical Engineering on image processing
    -- working on MR reconstruction, Photoacoustic imaging

Papers Under Review

  1. J. Choe, Y. Lee, J. Park, Y. Kim, C.U. Kim, K. Kim, Direct observation of glass-like structure and dynamics of C70 fullerenes on graphene, (revision resubmitted)

  2. D. Lee, Y. Kim, Novel mass-conserving Allen-Cahn equation for the boundedness of an order parameter, (submitted in Feb.)

  3. J.D. Yun, Y. Kim, Fourier - Wavelet interactions in compressed sensing, (submitted in Mar.)

  4. J.D. Yun, Y. Kim, two-stage data-driven sampling for compressed sensing, (submitted in Aug.)

Publications (Journal Papers)

  1. Y. Kim, An unconstrained global optimization framework for real symmetric eigenvalue problems, Applied Numerical Mathematics, published online in May 2019, (https://doi.org/10.1016/j.apnum.2019.05.006)

  2. Y. Kim, A Newton's method characterization for real eigenvalue problems, Numerische Mathematik, published online in May 2019, (https://doi.org/10.1007/s00211-019-01037-7)

  3. Y. Kim, Non-unique solutions for a convex problem in image segmentation, Applicable Analysis, published online in July 2018, (https://doi.org/10.1080/00036811.2018.1489962)

  4. Y. Kim, H. Tagare, Intensity non-uniformity correction for brain MR Images with known voxel classes, SIAM J. Imaging Sciences, 7(1), pp. 528 -- 557, 2014, (https://doi.org/10.1137/130924688)

  5. M. Tong, Y. Kim, L. Zhan, G. Sapiro, C. Lenglet, B.A. Mueller, P.M. Thompson, L.A. Vese, A vectorial total variation model for denoising high angular resolution diffusion images corrupted by Rician noise, Methods and Applications of Analysis, 21(1), pp. 139 -- 164, 2014, (http://dx.doi.org/10.4310/MAA.2014.v21.n1.a7)

  6. Y. Kim, J. Garnett, L. Vese, Image restoration using one-dimensional Sobolev norm pro files of noise and texture, SIAM J. Imaging Sciences, 7(1), pp. 366 -- 390, 2014, (https://doi.org/10.1137/130911275)

  7. P. Guidotti, Y. Kim, J. Lambers, Image restoration with a new class of forward-backward-forward diffusion equations of Perona-Malik type with Applications to Satellite Image Enhancement, SIAM J. Imaging Sciences, 6(3), pp. 1416 -- 1444, 2013, (https://doi.org/10.1137/120882895)

  8. M. Fornasier, Y. Kim, A. Langer, C.-B. Scheonlieb, Wavelet decomposition method for L2-TV image deblurring, SIAM J. Imaging Sciences, 5(3), pp. 857 -- 885, 2012, (https://doi.org/10.1137/100819801)

  9. Y. Kim, P.M. Thompson, L. Vese, HARDI data denoising using vectorial TV and logarithmic barrier, Inverse Problems and Imaging (Special issue in Medical image analysis), 4, pp. 273 -- 310, 2010, (https://doi.org/10.3934/ipi.2010.4.273)

  10. Y. Kim, L. Vese, Image recovery using functions of bounded variation and Sobolev spaces of negative differentiability, Inverse Problems and Imaging, 3, pp. 43 -- 68, 2009, (https://doi.org/10.3934/ipi.2009.3.43)

Publications (Conference Proceedings)

  1. M. Tong, Y. Kim, L. Zhan, G. Sapiro, C. Lenglet, B.A. Mueller, P.M. Thompson, L.A. Vese, A variational model for denoising high angular resolution diffusion imaging, The 9th IEEE International Symposium on Biomedical Imaging (ISBI), pp. 530 -- 533 (2012)

  2. Y. Kim, J. Garnett, L. Vese, A convex minimization model in image restoration via one-dimensional Sobolev norm pro files, The 18th IEEE International Conference on Image Processing, pp. 693 -- 696 (2011)

  3. Y. Kim, P.M. Thompson, A.W. Toga, L. Vese, L. Zhan, HARDI denoising: variational regularization of spherical Apparent Diffusion Coefficient sADC, IPMI 2009, LNCS 5636, pp. 515 -- 527, (2009)

  4. Y. Kim, L. Vese, Functional minimization problems in image processing, SPIE Electronic Imaging 2008, Proceedings Vol. 6814 Computational Imaging VI, Charles A. Bouman; Eric L. Miller; Ilya Pollak, Editors, 68140Q, 2008

Projects

Click this link to visit my project page.