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   My research papers include

Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations by Xiaobing Feng, Chiu-Yen Kao, and Thomas Lewis, Journal of Computational and Applied Mathematics, 2013

Quantification of Age-Related and per Diopter Accommodative Changes of the Lens and Ciliary Muscle in the Emmetropic Human Eye by Kathryn Richdale, Loraine T. Sinnott, Mark A. Bullimore, Peter A. Wassenaar, Petra Schmalbrock, Chiu-Yen Kao, Samuel Patz, Donald O. Mutti, Adrian Glasser and Karla Zadnik, 54(2), pages 1095-1105, Investigative Ophthalmology & Visual Science

Minimal Convex Combination of Three Sequential Laplace-Dirichlet Eigenvalues by Braxton Osting and Chiu-Yen Kao, submitted to Applied Mathematics and Optimization, 2013

Minimal Convex Combination of Sequential Laplace-Dirichlet Eigenvalues by Braxton Osting and Chiu-Yen Kao, accepted by SIAM Journal of Scientific Computation, 2013

Bounded Domain Problem for the Modified Buckley-Leverett Equation by Ying Wang and Chiu-Yen Kao, accepted by Journal of Dynamics and Differential Equations, 2012

Lax-Friedrichs Fast Sweeping Methods for Steady State Problems for Hyperbolic Conservation Laws by Weitao Chen, Ching-Shan Chou and Chiu-Yen Kao, accepted by Journal of Scientific Computing, 2012

Efficient Rearrangement Algorithms for Shape Optimization on Elliptic Eigenvalue Problems by Chiu-Yen Kao and Shu Su, accepted by Journal of Scientific Computing, 2012

Propagation of cutaneous thermal injury:A mathematical model by Chuan Xue, Ching-Shan Chou, Chiu-Yen Kao, Chandan K. Sen, Avner Friedman, in press, Wound Repair and Regeneration, 20(1), Pages 114-122, 2012

Princip al Eigenvalue Minimization for an Elliptic Problem with Indefinite Weight and Robin Boundary Conditions by Mi chael Hintermuller, Chiu-Yen Kao, and Antoine Laurain, Applied Mathematics adn Optimization, 65, Pages 111-146, 2012

Multiple scales in streamer discharges, with an emphasis on moving boundary approximations by Ute Ebert, F. Brau, G. Derks, W. Hundsdorfer, C.-Y. Kao, C. Li, A. Luque, B. Meulenbroek, S. Nijdam, V. Ratushnaya, L. Schäfer, S. Tanveer, Nonlinearity 24, C1-C26, 2011

Semi-Automatic Extraction Algorithm of Ciliary Body from Visante Images by Chiu-Yen Kao, Kathryn Richdale, Loraine Sinnott and Melissa Bailey, Optometry and Vision Science, 88, Pages 275-289, 2011

Split Bregman Method for Minimization of Region-Scalable Fitting Energy for Image Segmentation by Yunyun Yang, Chunming Li, Chiu-Yen Kao, and Stanly Osher, Advances in Visual Computing, 6454 Lecture Notes in Computer Sciences, Pages 117-128, 2010

Numerical study of the KP equation for non-periodic waves by Chiu-Yen Kao and Yuji Kodama, Mathematics and Computers in Simulation, 82, pages 1185-1218, 2010

A moving boundary model motivated by electric breakdown: II. Initial value problem by C-Y Kao F. Brau, U. Ebert, L. Schafer and S. Tanveer, Physics D: Nonlinear Phenomena, 239(16), Pages 1542-1559, 2010

The Development of Gyrification in Childhood and Adolescence by Tonya White, Shu Su, Marcus Schmidt, Chiu-Yen Kao, and Guillermo Sapiro Brain and Cognition, 72(1), Pages 36-45, 2010

Random Dispersal vs Non-Local Dispersal by Chiu-Yen Kao, Yuan Lou, and Wenxian Shen, Vol 26(2), Pages 551-596, Discrete and Continuous Dynamical Systems, 2010

Cell Cycle Control at the First Restriction Point and its Effect on Tissue Growth by Avner Friedman, Bei Hu and Chiu-Yen Kao, Journal of Mathematical Biology, 60(6), Pages 881-907, 2010

Modeling Oxygen Transport in Surgically Reconstructed Tissues by Anatasios Matzavinos, Chiu-Yen Kao, J. Edward F. Green, Alok Sutradhar, Michael Miller, and Avner Friedman, 106(29), Pages 12091-12096, Proceedings of the National Academy of Sciences, 2009

Image Segmentation with Simultaneous Illuminization and Reflectance Estimation: An Energy Minimization Approach by Chunming Li, Fang Li, Chiu-Yen Kao, Chenyang Xu, Pages 702-708, Proceedings ICCV, 2009

Active Contours Driven by Local and Global Intensity Fitting Energy with Application to Brain MR Image Segmentation by Li Wang, Chunming Li, Quansen Sun, Deshen Xia, and Chiu-Yen Kao, 33(7), Pages 520-531, Journal of Computerized Medical Imaging and Graohics, 2009

Asymptotic Phases in a Cell Differentiation Model by Avner Friedman, Chiu-Yen Kao, Chih-Wen Shih, 247(3), Pages 726-769, Journal of Differential Equations, 2009

Legendre-Transfrom-Based Fast Sweeping Methods for Static Hamilton-Jacobi Equations on Triangulated Meshes by Chiu Yen Kao, Stanley Osher and Jianliang Qian, Journal of Computational Physics, 227(24), Pages 209-225,2008

Properties of A Level Set Algorithm for the Visibility Problems by by Chiu-Yen Kao and  Richard Tsai, UCLA Math CAM Reports 06-04 , Journal of Scientific Computing,35(2), Pages 170-191, 2008

Minimization of Region-Scalable Fitting Energy for Image Segmentation by Chunming Li, Chiu-Yen Kao, John C. Gore, and Zhaohua Ding, IEEE Transactions on Image Processing, 17(10), 2008

Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains by Chiu-Yen Kao, Yuan Lou and Eiji Yanagida, Mathematical Biosciences and Engineering 5(2), Pages 315-335, 2008

Maximization of the Quality Factor of an Optical Resonator by Chiu-Yen Kao and Fadil Santosa, Wave Motion 45(4), Pages 412-427, 2008

Brain MR Image Segmentation Using Local and Global Intensity Fitting Active Contours/Surfaces by Li Wang, Chunming Li, Quansen Sun, Deshen Xia, and Chiu-Yen Kao, MICCAI, Pages 384-392, 2008

Brain MR Image Segmentation by Minimizing Scalable Neighborhood Intensity Fitting Energy: A Multiphase Level Set Approach by Chunming Li, Li Wang, Chiu-Yen Kao, John C. Gore, and Zhaohua Ding, ISMRM 2008

Incorporating Topological Derivatives into Shape Derivatives Based Level Set Methods by Lin He, Chiu-Yen Kao and Stanley Osher, UCLA Math CAM Report 06-44, Journal of Computational Physics, 225, Pages 891-909,2007

A Geometric Method for Automatic Extraction of Sulcal Fundi by Chiu-Yen Kao, Michael Hofer, Guillermo Sapiro, Kelly Rehm, Josh Stern, and David Rottenberg, IEEE Transactions on Medical Imaging, 26, Pages 530-540, 2007

Implicit Active Contours Driven by Local Binary Fitting Energy by Chunming Li, Chiu-Yen Kao, John C. Gore, and Zhaohua Ding, IEEE Computer Vision and Pattern Recognition (CVPR),383014, 2007

A Geometric Method for Automatic Extraction of Sulcal Fundi by Chiu-Yen Kao, Michael Hofer, Guillermo Sapiro, Josh Stern, and David Rottenberg, IMA preprints 2078 (ISBI, Pages 1168-1171) , Apr, 2006

Maximizing Band Gaps in Two Dimensional Photonic Crystals by Using Level Set Methods by Chiu-Yen Kao, Stanley Osher, and Eli Yablonovitch, UCLA Math CAM Reports 05-05, Applied Physics B: Lasers and Optics, 81, Pages 235-244,2005

White Matter Tractography by Anisotropic Wavefront Evolution and Diffusion Tensor Imaging by Marcel Jackowski, Chiu Yen Kao, Maolin Qiu, R. Todd Constable, and Lawrence H. Staib, UCLA Math CAM Reports 05-03, Medical Image Analysis,9, Pages 427-440,2005

The Lax-Friedrichs Sweeping Method for Optimal Control Problems in Continuous and Hybrid Dynamics by Chiu Yen Kao, Carmeliza Navasca, and Stanley Osher, UCLA Math CAM Reports 04-24, Nonlinear Analysis, 63, Pages e1561-e1572,2005

Fast Sweeping Methods for Hamilton-Jacobi Equations by Chiu Yen Kao, Stanley Osher and Yen-His Tsai, UCLA Math CAM Reports 02-66, SIAM Numerical Analysis, 42, Pages 2612-2632,2005

Estimation of Anatomical Connectivity by Anisotropic Front Propagation and Diffusion Tensor imaging by Marcel Jackowski, Chiu Yen Kao, Maolin Qiu, R. Todd Constable, and Lawrence H. Staib, UUCLA Math CAM Reports 04-08, MICCAI (2) 2004: Pages 663-670

Lax-Friedrichs Sweeping Scheme for Static Hamilton-Jacobi Equations by Chiu Yen Kao, Stanley Osher and Jianliang Qian, UCLA Math CAM Report 03-38, Journal of Computational Physics,196(1), Pages 367-391,2004

Recognizing Sand Ripple Patterns from Side-scan Sonar Images by John David, Gunay Dogan, Yevgeny Goncharov, Chiu Yen Kao, and Pakinee Suwannajan,, NCSU Reports, July 2002

This research work is supported by the National Science Foundation under Grant No. 0811003. Any opinions, findings and conclusions or recomendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF).