PUBLICATIONS
Grants: Dr. Kim's research is supported in part by NSF DMS-1228337, NSF DMS-0630798, NSF DMS-0609815, NSF DMS-0312223, & NSF DMS-0107210.
  1. J. Kim, B. Lee, M. R. Zanetti, K. A. Miller, and S. Kim (2024). Iterative Update Sample Consensus (IUSAC): A repeatable algorithm for optimal consensus set. Journal of Computational and Applied Mathematics 436, 115423. https://doi.org/10.1016/j.cam.2023.115423
  2. Seth T. Richey, Luke J. Hand, Owen C. Burton, J. Brittin Perdue, Penelope Prochnow, Jason Shin, and Seongjai Kim(2023). The Reverse-Transition Weighting Filter for Effective Edge Detection for Noisy Color Images. In: CSCI23 (to appear). (This is a result from a project assigned in the class MA-2923, Fall 2023. Excellent students!!) PDF
  3. H. H. Park, S. H. Lee, H. Kim, and S. Kim (2023). mCLESS: The Multi-Class Least-Error Square Sum for Interpretable Classification. In: CSCE23, pp.62-67 . PDF
  4. B. Lee, H. Kim, and S. Kim (2023). Membership score machine for highly nonlinear classification for small data. Applied Intelligence 53, pp. 6511-6524. https://link.springer.com/article/10.1007/s10489-022-03652-8
  5. P. Lee, G. V. Popescu, and S. Kim (2022). Stable rotational symmetric schemes for nonlinear reaction-diffusion equations. Computers & Mathematics with Applications 109, pp. 191-203. https://www.sciencedirect.com/science/article/pii/S0898122122000335
  6. P. Lee, D. Kim, S.-H. Lee, and S. Kim (2021). PCA approaches for optimal convolution kernels in convolutional neural networks. In: Proceedings of 2021 International Conference on Computational Science and Computational Intelligence, Las Vegas, USA, December 15-17, 2021.
  7. P. Lee, G. V. Popescu, and S. Kim (2020). A nonoscillatory second-order time-stepping procedure for reaction-diffusion equations. Complexity, Special Issue: Dynamical Analysis of Biological Systems 2020, Article ID 5163704.
  8. P. Lee and S. Kim (2020). A variable-θ method for parabolic problems of nonsmooth data. Computers & Mathematics with Applications 79, pp. 962-981.
  9. H. Kim, J. L. Willers, and S. Kim (2020). Curvature interpolation method for surface reconstruction for geospatial point cloud data. International Journal of Remote Sensing 41, no. 4, pp. 1512-1541.
  10. H. Kim, D. Kim, and S. Kim (2020). Real-time geospatial positioning for UAVs in GPS-denied environments using LiDAR data. In: Proceedings of 2020 AIAA SciTech Forum and Exposition, Hyatt Regency Orlando, Orlando, Florida, January 6-10, 2020. https://doi.org/10.2514/6.2020-2194.
  11. C.K. Cho, B. Lee, and S. Kim (2018). Dual-mesh characteristics for particle-mesh methods for the simulation of convection-dominated flows. SIAM Journal on Scientific Computing 40, no. 3, pp. A1763-A1783.
  12. B. Lee, M. Kang, and S. Kim (2017). An essentially non-oscillatory Crank-Nicolson procedure for the simulation of convection-dominated flows. Journal of Scientific Computing 71, pp. 875-895. Download from Springer
  13. Philku Lee, Tai Wan Kim, and S. Kim (2017). Accurate and efficient numerical solutions for elliptic obstacle problems. Journal of Inequalities and Applications (a Springer Open Journal) 2017:34, pp. 1-25 (DOI 10.1186/s13660-017-1309-z) Download from Springer
  14. Changsoo Shin and S. Kim (2017). Recursive Heaviside step functions and beginning of the universe. New Astronomy 52C, pp. 108-111. Download from Elsevier
  15. P. Lee and S. Kim (2017). The curvature interpolation method for real-time digital elevation model From LiDAR data. In: Proceedings of The 2017 CICS Conference on on Information and Control Systems, Mokpo, S. Korea, October 26-28, 2017, pp. 66-67.
  16. P. Lee and T. Y. Kim and D. Lee and S. Kim (2017). Preprocessing methods for low-resolution face image recognition. In: Proceedings of The 2017 KIPS Fall Conference, Seoul, S. Korea, November 3-4, 2017, pp. 781-784.
  17. S. Kim (2017). A Mathematician on the Road outside Time (book of poetry). Figures and Books Publishing. (김성재 시집: 시간 밖 길 위의 수학자, 그림과책 출판사).
  18. Hwamog Kim, J. Willers, and S. Kim (2016). Digital elevation modeling via curvature interpolation for LiDAR data. Electronic Journal of Differential Equations, Conference Special Issue 23, pp. 47-57.
  19. Hwan Hee Park and S. Kim (2015). Iterative refinement and edge processing in PDE-based image restoration. International Journal of Engineering and Innovative Technology 4, no. 7, pp. 1-10.
  20. Y. Cha, G. Y. Lee, and S. Kim (2014). Image zooming by curvature interpolation and iterative refinement. SIAM J. Imaging Sciences 7, no. 2, pp. 1284-1308.
  21. Y. Cha and S. Kim (2013). Equalized Net Diffusion (END) for the Preservation of Fine Structures in PDE-based Image Restoration. The Journal of Korea Information and Communication Society 38, pp. 998-1012.
  22. Moore, Y. Um, and S. Kim (2013). Efficient edge-forming procedures for real-time image interpolation. In: Proceedings of The 2013 International Conference on Image Processing, Computer Vision, and Pattern Recognition, Las Vegas, Nevada, USA, July 22 - 15, 2013, pp. 186-192.
  23. A. Gautam, Jihee Kim, D. Kwak, and S. Kim (2013). Iterative refinement by smooth curvature correction for PDE-based image restoration. In: Proceedings of The 2013 International Conference on Image Processing, Computer Vision, and Pattern Recognition, Las Vegas, Nevada, USA, July 22 - 15, 2013, pp. 518-523.
  24. W. Cordell, Hakran Kim, J. Willers, and S. Kim (2013). Image reconstruction for arbitrarily spaced data using curvature interpolation. In: Proceedings of The 2013 International Conference on Image Processing, Computer Vision, and Pattern Recognition, Las Vegas, Nevada, USA, July 22 - 15, 2013, pp. 506-512.
  25. Jiho Kim, Hwamog Kim, and S. Kim (2013). Computing education and research for high school students through subject modularization and basic software. In: Proceedings of The 2013 International Conference on Frontiers in Education: Computer Science and Computer Engineering, Las Vegas, Nevada, USA, July 22 - 15, 2013, pp. 409-415.
  26. Y. Cha and S. Kim (2012). The method of nonflat time evolution (MONTE) in PDE-based image restoration. The Journal of Korea Information and Communication Society 37, pp. 961-971.
  27. H. Kim, V. R. Calvert, and S. Kim (2012). Preservation of fine structures in PDE-based image denoising. Advances in Numerical Analysis, Article ID 750146, pp. 1-19.
  28. H. Kim, Y. Cha, and S. Kim (2011). Curvature interpolation method for image zooming. IEEE Trans. Image Process. 20, no. 7, pp. 1895-1903.
  29. I. Banicescu, H. Lim, R. Carino, and S. Kim (2011). A parameter study of a hybrid Laplacian mean-curvature flow denoising model. Journal of Supercomputing 57, no. 3, pp. 339-356.
  30. H. Kim, V. R. Calvert, J. H. Hwang, and S. Kim (2011). Curvature interpolation method for the recovery of scattered image data. In: Proceedings of the IASTED International Conference on Signal and Image Processing, Dallas, TX, USA, December 14-16, 2011. pp. 201-207.
  31. Y. Cha and S. Kim (2010). PDE-based image interpolators. Journal of Korea Information and Communication Society 35, no. 12, pp. 1010-1019.
  32. Y. Cha and S. Kim (2010). Parallel domain decomposition methods for high-order finite element solutions of the Helmholtz problem. Lecture Notes in Computer Science 6082, pp. 136-145.
  33. S.J. Park, S. Ahn, T. G. Kang, S.-T. Chung, Y.-S. Kwon, S.H. Chung, S.-G. Kim, S. Kim, S.V. Atre, S. Lee, and R.M. German (2010). A review of computer simulations in powder injection molding}. International Journal of Powder Metallurgy 46, no.3, pp. 37-46.
  34. A. Alwehebi, H. Kim, and S. Kim (2010). Random noise in Rician MRI data. In: Proceedings of the IASTED International Conference on Computer Graphics and Imaging, Innsbruck, Austria, February 17-19, 2010.
  35. S. Kim and H. Lim (2009). Fourth-order partial differential equations for effective image denoising. Electronic Journal of Differential Equations, Conference Special Issue 17, pp. 107-121.
  36. C.-K. Cho and S. Kim (2008). An essentially non-oscillatory Crank-Nicolson procedure for incompressible Navier-Stokes equations. International Journal for Numerical Methods in Fluids 59, pp. 1351-1357.
  37. Y. Cha and S. Kim (2007). The Error-amended sharp edge (EASE) scheme for image zooming. IEEE Trans. Image Process. 16, no. 6, pp. 1496-1505.
  38. Y. Cha and S. Kim (2007). PDE-based Interpolation Methods for Image Super Resolution. In: Proceedings of the 2007 International Conference on Future Generation Communication and Networking , IEEE Computer Society, pp. 213-218.
  39. H. Choi and S. Kim (2007). Novel Numerical Methods for Efficient and Reliable Segmentation. In: Proceedings of the 2007 International Conference on Future Generation Communication and Networking , IEEE Computer Society, pp. 224-229.
  40. S. Kim, S.J. Park, S.V. Atre, and R.M. German (2007). Simulation of binder-powder separation in powder injection molding. In: Proceedings of the 2007 International Conference on Powder Metallurgy & Particlate Materials (PowderMet 2007), Part 1, pp. 8-14.
  41. D. N. Kim, J. Choi, and S. Kim (2007). Speckle-mowing anisotropic diffusion. In: Proceedings of the 2007 International Conference on Image Processing, Computer Vision, and Pattern Recognition, pp. 282-288.
  42. S. Kim and H. Lim (2007). High-order schemes for acoustic waveform simulation. Appl. Numer. Math. 57, pp. 402-414.
  43. S. Kim and H. Lim (2007). A non-convex diffusion model for simultaneous image denoising and edge enhancement. Electronic Journal of Differential Equations, Conference Special Issue 15, pp. 175-192.
  44. Deyeon N. Kim, J. Choi, and S. Kim (2007). The method of diffusion modulation for the restoration of image fine structures. WSEAS Trans. on Mathematics 6, no. 2, pp. 361-368.
  45. H. Lim, S. Kim, and J. Douglas, Jr. (2007). Numerical methods for viscous and nonviscous wave equations. Appl. Numer. Math. 57, no. 2, pp. 194-212.
  46. Y. Cha and S. Kim (2006). Edge-forming methods for image zooming. Journal of Mathematical Imaging and Vision 25, no. 3, pp. 353-364.
  47. S. Kim and S.-H. Kwon (2006). Explicit nonflat time evolution for PDE-based image restoration. Lecture Notes in Computer Science, vol. 4338, P. Kalra and S. Peleg (Eds.), Springer-Verlag, Berlin, Heidelberg, pp. 35-44.
  48. Y. Cha and S. Kim (2006). Error-amended sharp edge (EASE) schemes for image interpolation. In: Proceedings of 2006 IEEE International Conference on Image Processing, pp. 701-704.
  49. S. Kim (2006). Image denoising via diffusion modulation. International Journal of Pure and Applied Mathematics 30, no. 1, pp. 71-92.
  50. S. Kim (2006). Image denoising by fourth-order PDEs. In: Proceedings of the Eighth IASTED International Conference on Signal and Image Processing, pp. 249-254.
  51. S. Kim and H. Lim (2006). Method of background subtraction for medical image segmentation. In: Proceedings of The 3rd International Conference on Cybernetics and Information Technologies, Systems and Applications, pp. 87-91.
  52. Y. Cha and S. Kim (2006). Edge-forming methods for color image zooming. IEEE Trans. Image Process. 15, no.8, pp. 2315-2323.
  53. S. Kim and H. Lim (2006). A traveltime-based absorbing boundary condition and fourth-order implicit procedures for the simulation of acoustics. WSEAS Trans. on Mathematics 5, no. 5, pp. 451-458.
  54. S. Kim (2006). A 4th-order implicit procedure for the simulation of acoustics. In: Proceedings of The 9th WSEAS International Conference on Applied Mathematics, pp. 599-604.
  55. S. Kim (2006). PDE-based image restoration: A hybrid model and color image denoising. IEEE Trans. Image Process. 15, no.5, pp. 1163-1170.
  56. S. Kim (2006). Equalized net diffusion (END) in image denoising. In: Proceedings of The 10th WSEAS International Conference on Applied Mathematics.
  57. R. Carino, I. Banicescu, H. Lim, N. Williams, and S. Kim (2006). Simulation of a hybrid model for image denoising. Proceedings of the Seventh Workshop on Parallel and Distributed Scientific and Engineering Computing.
  58. S. Kim (2005). A hybrid level set approach for efficient and reliable image segmentation. In: Proceedings of 2005 IEEE ISSPIT, pp. 743-748.
  59. S. Kim and H. Lim (2005). A hybrid level set segmentation for medical imagery. In: Proceedings of 2005 IEEE Nuclear Science Symposium, pp. 1790-1794.
  60. S. Kim, H. Lim, D.N. Kim, and M. Tynan (2005). Subject modularization and research projects with high school students on mathematical image processing. In: Proceedings of the IASTED International Conference on Education and Technology, pp. 247-252. (Hyatt Regency Hotel, Calgary, Alberta, Canada, July 4-6, 2005)
  61. S. Kim, C.-S. Shin, and J.B. Keller (2005). High-frequency asymptotics for the numerical solution of the Helmholtz equation. Appl. Math. Letters 18, Issue 7, pp. 797-804.
  62. S. Kim (2004). Loss and recovery of fine structures in PDE-based image denoising. In: Proceedings of the Fifth Conference on Mathematics and Image Analysis, Paris, France, September 6-9, 2004.
  63. C. Chen, S.C. Yost, and S. Kim (2004). Pade-ENO-CN scheme for one-dimensional open channel flow. In: Proceedings of the 175h ASCE Engineering Mechanics Conference, University of Delaware, Newark, DE, June 13-16, 2004. Paper number 113.
  64. S. Kim and K. Joo (2004). Efficient and reliable procedures for PDE-based denoising. In: Proceedings of Hawaii International Conference on Statistics, Mathematics and Related Fields, pp. 1126-1141.
  65. J. Douglas, Jr., S. Kim, and H. Lim (2003). An improved alternating-direction method for a viscous wave equation. Contemporary Mathematics 329, pp. 99-104.
  66. S. Kim (2003). Compact Schemes for Acoustics in the Frequency Domain. Mathematical and Computer Modelling 37, pp. 1335-1341.
  67. S. Kim and Soohyun Kim (2002). Multigrid simulation for high-frequency solutions of the Helmholtz problem in heterogeneous media. SIAM J. Sci. Comput. 24, No. 2, pp. 684-701.
  68. S. Kim (2002). 3D eikonal solvers: First-arrival traveltimes. Geophys. 67, pp. 1225-1231.
  69. S. Kim (2002). Fourth-order compact schemes for the Helmholtz equation. SEG 72, pp. 1907-1910.
  70. S. Kim (2002). Implicit fourth-order schemes for acoustic waveform simulation. SEG 72, pp. 1919-1922.
  71. S. Kim (2001). An O(N) level set method for eikonal equations. SIAM J. Sci. Comput. 22, pp. 2178-2193.
  72. J. Douglas, Jr. and S. Kim (2001). Improved accuracy for locally one-dimensional methods for parabolic equations. Math. Models and Methods in Appl. Sci. 11, pp. 1563-1579.
  73. S. Kim (2001). On Accuracy of Finite Difference Amplitudes and Interpolated Traveltimes. SEG 71, pp. 1175-1178.
  74. S. Kim (2001). Multigrid Domain Decomposition Techniques for the High-Frequency Numerical Solution of Scalar Waves in Heterogeneous Media. SEG 71, pp. 1179-1182.
  75. S. Kim (2001). The most-energetic traveltime of seismic waves. Appl. Math. Letters 14, pp. 313-319.
  76. S. Kim (2001). Artificial damping in multigrid methods. Appl. Math. Letters 14, pp. 359-364.
  77. S. Kim (2000). Wavefronts of linear elastic waves: local convexity and modeling. Wave Motion 32 no.3, pp. 203-216.
  78. S. Kim (2000). On Most-Energetic Traveltimes. SEG 70, pp. 946-949.
  79. S. Kim, H.L. Atwood, and R.L. Cooper (2000). Assessing accurate sizes of synaptic vesicles in nerve terminals. Brain Research 877 no.2, pp. 209-217.
  80. S. Kim and D. Folie (2000). The Group marching method: An O(N) level set eikonal solver. SEG 70, pp. 2297-2230.
  81. S. Kim and R. Cook (1999). 3D traveltime computation using second-order ENO scheme. Geophys. 64, pp. 1867-1876.
  82. S. Kim (1999). ENO-DNO-PS: a stable, second-order accuracy eikonal solver. SEG 69, pp. 1747-1750.
  83. S. Kim (1999). On eikonal solvers for anisotropic traveltimes. SEG 69, pp. 1875-1878.
  84. S. Kim (1998). Domain decomposition iterative procedures for solving scalar waves in the frequency domain. Numerische Mathematik 79, pp. 231-259.
  85. S. Kim (1998). On the use of rational iterations and domain decomposition methods for solving the Helmholtz problem. Numerische Mathematik 79, pp. 529-552.
  86. S. Kim and W.W. Symes (1998). Smooth detectors of linear phase. Inverse Problems 14, pp. 101-112.
  87. S. Kim and W.W. Symes (1998). Multigrid domain decomposition methods for the Helmholtz problem. In: Fourth International Conference on Mathematical and Numerical Aspects of Wave Propagation (Editor: J. A. DeSanto). SIAM, Philadelphia, pp. 617-619.
  88. S. Kim, W.W. Symes, and M.A. El-Mageed (1998). Superconvergent difference formulas for traveltimes and amplitudes. In: Fourth International Conference on Mathematical and Numerical Aspects of Wave Propagation (Editor: J. A. DeSanto). SIAM, Philadelphia, pp. 591-593.
  89. S. Kim and W.W. Symes (1997). Multifrequency simulation for acoustics. Appl. Math. Letters 10, No. 4, pp. 47-52.
  90. S. Kim and M. Lee (1996). Artificial damping techniques for scalar waves in the frequency domain. Computers Math. Applic. 31, No. 8, pp. 1-12.
  91. S. Kim (1995). Parallel multidomain iterative algorithms for the Helmholtz wave equation. Appl. Numer. Math. 17, pp. 411-429.
  92. S. Kim (1994). A parallelizable iterative procedure for the Helmholtz problem. Appl. Numer. Math. 14, pp. 435-449.
  93. S. Kim (1994). Numerical Treatments for the Helmholtz Problem by Domain Decomposition Techniques. Contemp. Math. 180, pp. 245-250.

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