윤정호(尹柾皓) 교수
수학과
윤정호 교수는 자연과학대학/수학과 소속 교수로 데이터 근사이론을 전공하고 있다. 1988년 미국 위스컨신주 매디슨에 있는 위스컨신 주립대학에서 Ph.D 학위를 받았으며, 근사이론에 대한 순수 해석적 연구 뿐만 아니라, 응용으로 영상처리, 수치적 편미분방정식에 대한 해법을 연구하고 있다. 현재까지 순수/응용수학, 공학, 및 수리 물리등 다양한 연구분야에서 SCI 상위급 국제학술지에 연구논문들을 발표하고 있다.
- 종합과학관 A동 A509호
- 02-3277-2293
연구실적
- A shape preserving corner cutting algorithm with an enhanced accuracy Applied Mathematics Letters, 2023, v.137, 108487
- Improving the third-order WENO schemes by using exponential polynomial space with a locally optimized shape parameter Computers and Mathematics with Applications, 2023, v.149, 24-37
- A shape preserving C2 non-linear, non-uniform, subdivision scheme with fourth-order accuracy Applied and Computational Harmonic Analysis, 2022, v.60, 267-292
- Construction of Nonlinear Approximation Schemes for Piecewise Smooth Data Constructive Approximation, 2022
- Development of a WENO scheme based on radial basis function with an improved convergence order JOURNAL OF COMPUTATIONAL PHYSICS, 2022, v.468, 111502
- A non-uniform corner-cutting subdivision scheme with an improved accuracy Journal of Computational and Applied Mathematics, 2021 , 113446
- A third-order WENO scheme based on exponential polynomials for Hamilton-Jacobi equations Applied Numerical Mathematics, 2021, v.165, 167-183
- A training method for low rank convolutional neural networks based on alternating tensor compose-decompose method Applied Sciences (Switzerland), 2021 , 1-23
- Approximation of multivariate functions on sparse grids by Kernel-based Quasi-interpolation SIAM Journal on Scientific Computing, 2021, v.43 no.2, A953-A979
- IMPROVING ACCURACY OF THE FIFTH-ORDER WENO SCHEME BY USING THE EXPONENTIAL APPROXIMATION SPACE SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, v.59 no.1, 143-172
- A new family of non-stationary hermite subdivision schemes reproducing exponential polynomials Applied Mathematics and Computation, 2020, v.366, 124763
- Construction of an Improved Third-Order WENO Scheme with a New Smoothness Indicator Journal of Scientific Computing, 2020, v.82 no.3, 63
- Joint Demosaicing and Denoising Based on a Variational Deep Image Prior Neural Network SENSORS, 2020, v.20 no.10
- An Improved Weighted Nuclear Norm Minimization Method for Image Denoising IEEE ACCESS, 2019, v.7, 97919-97927
- Analysis of non-stationary Hermite subdivision schemes reproducing exponential polynomials Journal of Computational and Applied Mathematics, 2019, v.349, 452-469
- A Sixth-Order Weighted Essentially Non-oscillatory Schemes Based on Exponential Polynomials for Hamilton-Jacobi Equations JOURNAL OF SCIENTIFIC COMPUTING, 2018, v.75 no.3, 1675-1700
- A family of non-uniform subdivision schemes with variable parameters for curve design Applied Mathematics and Computation, 2017, v.313, 1-11
- Construction of Hermite subdivision schemes reproducing polynomials Journal of Mathematical Analysis and Applications, 2017, v.451 no.1, 565-582
- Structure Adaptive Total Variation Minimization-based Image Decomposition IEEE Transactions on Circuits and Systems for Video Technology, 2017
- Approximation order and approximate sum rules in subdivision JOURNAL OF APPROXIMATION THEORY, 2016, v.207, 380-401
- Ashort note on the error estimates of Yuan-Shu discontinuous Galerkin method based on non-polynomial approximation spaces JOURNAL OF COMPUTATIONAL PHYSICS, 2016, v.320, 33-39
- On multivariate discrete least squares JOURNAL OF APPROXIMATION THEORY, 2016, v.211, 78-84
- SIXTH-ORDER WEIGHTED ESSENTIALLY NONOSCILLATORY SCHEMES BASED ON EXPONENTIAL POLYNOMIALS SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2016, v.38 no.4, A1987-A2017
- A study on multivariate interpolation by increasingly flat kernel functions JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, v.427 no.1, 74-87
- Depth map enhancement using adaptive moving least squares method with a total variation minimization Multimedia Tools and Applications, 2015, 2 SEP 2015
- Image zooming method using edge-directed moving least squares interpolation based on exponential polynomials Applied Mathematics and Computation, 2015, v.269, 569-583
- Improving smoothness and accuracy of Modified Butterfly subdivision scheme Applied Mathematics and Computation, 2015, 10 Aug 2015
- Modified Non-linear Weights for Fifth-Order Weighted Essentially Non-oscillatory Schemes Journal of Scientific Computing, 2015, 8 AUG 2015
- Motion correction of magnetic resonance imaging data by using adaptive moving least squares method MAGNETIC RESONANCE IMAGING, 2015, v.33 no.5, 659-670
- A Framework for Moving Least Squares Method with Total Variation Minimizing Regularization JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2014, v.48 no.3, 566-582
- A New Method for the Analysis of Univariate Nonuniform Subdivision Schemes CONSTRUCTIVE APPROXIMATION, 2014, v.40 no.2, 173-188
- Adaptive Total Variation Minimization-Based Image Enhancement from Flash and No-Flash Pairs SCIENTIFIC WORLD JOURNAL, 2014 , Article ID 319506
- On Convergence of Flat Multivariate Interpolation by Translation Kernels with Finite Smoothness Constructive Approximation, 2014, v.40 no.1, 37-60
- Sampling inequalities for infinitely smooth radial basis functions and its application to error estimates Applied Mathematics Letters, 2014, v.36, 40-45
- Superresolution of 3-D computational integral imaging based on moving least square method Optics Express, 2014, v.22 no.23, 28606-28622
- [학술지논문] A new family of non-stationary hermite subdivision schemes reproducing exponential polynomials APPLIED MATHEMATICS AND COMPUTATION, 2020, v.366 no.1 , 1-16
- [학술지논문] Construction of an Improved Third-Order WENO Scheme with a New Smoothness Indicator JOURNAL OF SCIENTIFIC COMPUTING, 2020, v.82 no.3 , 1-23
- [학술발표] Development of onlinear approximation schemes for piecewise smooth data The Fourth Hangzhou International Workshop onHarmonic Analysis and Applications, 중국, 항저우, 2019-12-14 학술대회 초록집, 2019, 13-13
강의
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2024-1학기
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해석학개론Ⅰ
- 학수번호 35288분반 01
- 2학년 ( 3학점 , 4.5시간) 화 3~3 (포451) , 목 2~2 (포451)
- 연습시간 추후공지
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근사이론
- 학수번호 G10514분반 01
- 학년 ( 3학점 , 3시간) 수 2~2 (종A317) , 수 3~3 (종A317)
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2023-1학기
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실변수함수론
- 학수번호 35296분반 01
- 4학년 ( 3학점 , 3시간) 월 6~6 (포452) , 수 5~5 (포452)
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응용수학Ⅰ
- 학수번호 G10652분반 01
- 학년 ( 3학점 , 3시간) 목 2~3 (종A317)
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2022-2학기
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수리영상처리
- 학수번호 35979분반 01
- 4학년 ( 3학점 , 3시간) 월 6~6 (포452) , 수 5~5 (포452)
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응용수학Ⅱ
- 학수번호 G11017분반 01
- 학년 ( 3학점 , 3시간) 월 3~3 (종A317) , 화 3~3 (종A317)
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2022-1학기
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실변수함수론
- 학수번호 35296분반 01
- 4학년 ( 3학점 , 3시간) 월 6~6 (포452) , 수 5~5 (포452)
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근사이론
- 학수번호 G10514분반 01
- 학년 ( 3학점 , 3시간) 화 2~3 (종A317)
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2021-2학기
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해석학개론II
- 학수번호 35290분반 01
- 2학년 ( 3학점 , 4.5시간) 화 5~5 , 목 6~6
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수리영상처리
- 학수번호 35979분반 01
- 4학년 ( 3학점 , 3시간) 월 6~6 (포452) , 수 5~5 (포452)
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2021-1학기
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해석학개론I
- 학수번호 35288분반 01
- 2학년 ( 3학점 , 4.5시간) 월 6~6 (포452) , 수 5~5 (포452)
- 월7교시 연습시간
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응용수학Ⅰ
- 학수번호 G10652분반 01
- 학년 ( 3학점 , 3시간) 월 2~3 (종A317)
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학력
University of Wisconsin-Madison Ph.D.(수학)