Research Interests:

Papers:

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• Suk Ho Lee, Yeon Ju Lee and Jungho Yoon, A Framework for Moving Least Squares Method with Total Variation Minimizing Regularization, Journal of Mathematical Imaging and Vision , accepted, 2013.
  
  
• Youngsoo Ha, Yeon Ju Lee and Jungho Yoon, Modified Essentially Non-Oscillatory schemes based on exponential polynomial interpolation for hyperbolic conservation law, SIAM J. Numer. Anal. accepted, 2013
  
  
• Byeongsun Jung, Yeon Ju Lee and Jungho Yoon, A family of subdivisionscheme reproducing exponential polynomial, J. of Math. Anal. and Appl. accepted, 2013
  
  
• Byeongsun Jung, Hong Oh Kim, Yeon Ju Lee and Jungho Yoon, Exponential polynomial reproduction property of non-stationary subdivision schemes and normalized exponential B-splines, Advances in Comp. Math. , accepted, 2013
  
  
• Youngsoo Ha, Changho Kim, Yeon Ju Lee and Jungho Yoon, An improved weighted essentially non-oscillatory scheme with a new smoothness indicator, J. of Comp. Physics , 232, 68-86, 2013.
  
  
• Youngsoo Ha, Changho Kim, Yeon Ju Lee and Jungho Yoon, Mapped WENO schemes based on a new smoothness indicator for Hamilton-Jacobi Equations, J. of Math. Anal. and Appl. , vol. 394, 670-682, 2012.
  
  
• Kil Hyun Kwon Dae Gwan Lee and Jungho Yoon Band-Limited Scaling Functions with Oversampling Property, IEICE Trans. Fund. of Ele. Comm. and Comp. E95A, 661-665, (2012)
  
  
• Yeon Ju Lee, Mun Bae Lee and Jungho Yoon, Sobolev-type Lp-Approximation Orders of Radial Basis Function Interpolation to Functions in Fractional Sobolev Spaces, IMA Journal of Numerical Analysis, 32, 279-293, 2012.
  
  
• Yeon Ju Lee and Jungho Yoon, Analysis of Compactly Supported Non-stationary biorthogonal Wavelwet Systems based on Exponential B-splines, Abstract Applied Analysis, vol 2011, 1085-3375, 2011.
  
  
• Sunwwo Hasik, Mun Bae Lee, Yeon Ju Lee and Jungho Yoon, Some issues on interpolation matrices of locally scaled radial basis functions, Applied Mathematics and Computation, 217, 5011-5014 (2011).
  
  
• Yeon Ju Lee and Jungho Yoon, Non-liear Image Zooming Upsampling Method based on Radial Basis Function Interplation, IEEE Transactions on Image Processing , Vol 19 Issue 10, 2682 - 2692 (2010)
  
  
• H. Kim, R. Kim, Y. Lee, and Jungho Yoon, Quasi-Interpolatory Refinable Functions and Construction of Biorthogonal Wavelet Systems, Adv. in Comp. Math , 33, no. 3, 255-283, (2010).
  
  
• Yeon Ju. Lee, and Jungho Yoon, Non-stationary Subdivision Schemes for Surface Interpolation based on Exponential Polynomials, Applied Numerical Mathematics , vol. 60, 130-141 (2010).
  
  
• Yeon Ju. Lee, and Jungho Yoon, Analysis of Stationary Subdivision Schemes for Curve Designs based on Radial Basis Function Interpolation, Applied Mathematics and Computation, vol. 215, 3851-3859 (2010).
  
  
• Rick Archibald, Anne Gelb, Jungho Yoon, Determining the Locations and Discontinuities in the Derivatives of Functions, Applied Numerical Mathematics , Vol 58, 577-592 (2008).
  
  
• Yeon Ju Lee, Gang Jun Yoon, Jungho Yoon, Convergence Property of Increasingly Flat Radial Basis function Interpolation to Polynomial Interpolation, PostScript-file, SIAM J. Mathematical Analysis, Vol 39 537-553, (2007).
  
  
• Nira Dyn, David Levin, and Jungho Yoon, Analysis of Univariate Non-stationary Subdivision Schemes with Application to Gaussian-Based Interpolatory Schemes, SIAM J. Mathematical Analysis, Vol 39, 470-488 (2007).
  
  
• Changho Kim, Sang Dong Kim, Jungho Yoon, A collocation least-squares approximation for second-order elliptic partial differential equations Applied . Comp. Math. , to appear, (2007).
  
  
• Choi, Y.-J. Lee, J. Yoon, B.-G. Lee, Y.-J. Kim, A New Class of Non-stationary Interpolatory Subdivision Schemes based on Exponential Polynomials, SpringerLink, Geometric Modeling and Processing - GMP 2006: PDF-file Lecture Notes in Computer Science Vol 4077, pp.563-570, 2006.
  
  
• Byung Gook Lee, Yeon Ju Lee, Jungho Yoon, Stationary Binary Subdivision Schemes Using Radial Basis Function Interpolation, PDF-file Advances in Comp. Math. Vol 25. 57-72 (2006).
  
  
• Sung Woo Choi, Byung Gook Lee, Yeon Ju Lee, Jungho Yoon, Stationary Subdivision Schemes Reproducing Polynomials, PDF-file Computer Aided Geometric Design , Vol 23, 351-360 (2006).
  
  
• Changho Kim, Sangdong Kim, Yong Hun Lee, Jungho Yoon, Convergence analysis for a second-order elliptic Equation by a collocation method using scattered points, PDF-file Journal of Comp. Appl. Math. , Vol 186 (2006) no. 1, 450-465,
  
  
• Rick Archibald, Anne Gelb, Jungho Yoon, Polynomial Fitting for Edge Detection in irregularly Sampled Signals and Images, PDF-file SIAM Numer. Analysis , Vol. 43, 259-279, (2005).
  
  
• Jungho Yoon, Improved Accuracy of $L_p$-Approximation to Derivatives by Radial Basis Function Interpolation Appl. Math. Comp. 161 (2005), no. 1, 109--119.
  
  
• Jungho Yoon, On the stationary $L\sb p$-approximation power to derivatives by radial basis function interpolation. Appl. Math. Comp. 150 (2004), no. 3, 875--887.
  
  
• Jungho Yoon, $L_p$ Error Estimates for `Shifted' Surface Spline Interpolation on Sobolev Space, Mathematics of Computation, 72 (2003), 243, 1349-1367. PostScript-file, PDF-file
  
  
• Jungho Yoon, A Nonstationary Approximation Scheme on Scattered Centers in $R^d$ by Radial Basis functions, Special Issue on "Wavelets and Approximation Theory", Journal of Comp. Appl. Math. , Vol 155 (2003) no. 1, 163-175, PostScript-file, PDF-file
  
  
• Jungho Yoon, Spectral Approximation Orders of Radial Basis Function Interpolation on the Sobolev Space, SIAM J. Math Anal., Vol. 33, No 4, 946-958, (2001). PostScript-file, PDF-file
  
  
• Jungho Yoon, Approximation in $L_p(R^d)$ from a space spanned by the scattered shifts of a radial basis function, Constructive Approximation 17 (2001), no. 2, 227-247. PostScript-file, PDF-file
  
  
• Jungho Yoon, Computational Aspects of Approximation to Scattered Data by Using `Shifted' Thin-Plate Spline, Advances in Comp. Math. 14 (2001), no. 4, 329-359. PostScript-file, PDF-file
  
  
• Jungho Yoon, Interpolation by Radial Basis Functions on Sobolev Space, Journal of Approx. Theory 112 (2001), no. 1, 1-15. PostScript-file, PDF-file
  
  
• Jungho Yoon, Approximation by Conditionally Positive Definite Functions With Finitely Many Centers, Trends in Approximation Theory, K. Kopotun, T. Lyche, and M. Neamtu (eds.), Vanderbilt University Press, Nashville, (2001), 437-446. PostScript-file , PDF-file
  

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• Jungho Yoon, Approximation to Scattered Data, PostScript-file, PDF-file, Ph.D. Thesis, 1998, University of Wisconsin-Madison, USA.