Wenjie He

Main Research Interests:

* Wavelet analysis, Time-frequency analysis
* Approximation theory
* Data processing
* Online education using artificial intelligence

External Grants/Contracts:

* DARPA-Proposal for Division of GEO; (subcontract from University of North Carolina),
"Meshless wavelets and their application to terrain modeling", PI W. He, Co-PI C. K. Chui,
amount awarded $553,559, 6/01/2005-5/31/2010.

* NSF-Proposal for Division of Computer-Communications Research, "Spline-Wavelet Frames in Computer Graphics
and other Applications", PI C.K. Chui, Co-PI W. He, amount awarded $292,000, 6/30/2001-6/30/2004.

* NSF-Proposal for Division of Computer-Communications Research,
"Tight Frames of Rational Splines and Application to CAD/CAM and Computer Graphics",
PI C.K. Chui, Co-PI W. He, amount awarded $193,986, from 6/30/2000-6/30/2003.

* NSF-Proposal for Division of Mathematical Sciences, "Wavelet-based Modelling and Image Analysis",
PI J. Stoeckler, Co-PI C.K. Chui, W. He, C. Liu, G. Welland and S. Zhao, amount awarded $45,226, 2000-2001.

* "Server Support for Team-Based Learning Apps" (from Express Scripts, Inc.), PI C. Janikow, Co-PI W. He, 2017.

* "Registry Service User Interface" (from Express Scripts, Inc.), PI C. Janikow, Co-PI W. He, 2016.

* "Space Planning" (from Express Scripts, Inc.), PI C. Janikow, Co-PI W. He, 2013.

* "Social Media Integration Using Facebook API" (from Express Scripts, Inc.), PI C. Janikow, Co-PI W. He, 2012.

* "Outbound Notification Administration Console" (from Express Scripts, Inc.), PI C. Janikow, Co-PI W. He, 2011.

* "Express Scripts Member Touch Point Analysis" (from Express Scripts, Inc.), PI C. Janikow, Co-PI W. He, 2010.

* "Express Scripts HealthBridge Data Access System" (continuation, from Express Scripts, Inc.),
PI C. Janikow, Co-PI W. He, 2010.

* "Express Scripts HealthBridge Data Access System" (from Express Scripts, Inc.), PI C. Janikow,
Co-PI W. He, 2009.

* "Express Scripts Pharmacy Locator" (from Express Scripts, Inc.), PI C. Janikow, Co-PI W. He, 2009.

* "Express Scripts Mobile Web Portal" (from Express Scripts, Inc.), PI C. Janikow, Co-PI W. He, 2008.

UM/UMSL Grants:

* University of Missouri - St. Louis Grant for Curriculum Development of College of Art and Science,
"Develop a Web-Based Teaching/Learning Tool for the Course of Enterprise Web Development",
PI W. He, amount $6,000, 1/1/2012-12/31/2012.

* University of Missouri - St. Louis Innovation Grant for Integrating Technology in Teaching and Learning,
"A Correlated-Keywords-Based Search Tool for Web Technology Learning", PI W. He, amount $3,600, 1/1/2010-12/31/2010.

* University of Missouri Research Board, "Tight Frames Associated with Rational Splines",
PI W. He, amount awarded $10,295, from 6/1/2000-12/1/2000.

* University of Missouri - St. Louis Research Award, "Compactly Supported Vector Valued Spline Tight
Frames", PI W. He, amount awarded $7,700, from 6/1/2001-12/1/2001.

Selected Publications:

* M Charina, C.K. Chui, and W. He, "Tight frames of compactly supported multivariate
multi-wavelets", Journal of Computational and Applied Mathematics, 2044-2061, 2010.

* H. Kang, C. Chui, W. He and U. Chakraborty, "Interactive Sketch Generation",
The Visual Computer, 821-830, 2005.

* R. Garnett, T. Huegerich, C.K. Chui, and W. He, "A universal noise removal algorithm
with impulse detector", IEEE Transactions on Image Processing, 1747-1754, 2005.

* C.K. Chui, W. He and J. Stoeckler, "Non-stationary tight wavelet frames, II: unbounded
intervals", Applied and Computational Harmonic Analysis, 25-66, 2005.

* C.K. Chui, W. He and J. Stoeckler, "Non-stationary tight wavelet frames, I: bounded
intervals", Applied and Computational Harmonic Analysis, 141-197, 2004.

* W. He and Ming-Jun Lai, "Construction of trivariate compactly supported
biorthogonal box spline wavelets", Journal of Approximation Theory, 1-19, 2003.

* C.K. Chui, W. He, J. Stoeckler, and Q. Sun, "Compactly supported tight affine frames
with integer dilations and maximum vanishing moments", Advanced Computational Mathematics,
159-187, 2003.

* C.K. Chui, W. He and J. Stoeckler, "Compactly supported tight and sibling frames with
maximum vanishing moments", Applied and Computational Harmonic Analysis, 224-262, 2002.

* C.K. Chui and W. He, "Construction of multivariate tight frames via Kronecker products",
Applied and Computational Harmonic Analysis, 305-312, 2001.

* C.K. Chui and W. He, "Compactly supported tight frames associated with refinable functions",
Applied and Computational Harmonic Analysis, 293-319, 2000.

* W. He and M.J. Lai, "Examples of bivariate nonseparable compactly supported
orthonormal continuous wavelets", IEEE Transactions on Image Processing, 949-953, 2000.

* W. He and M.J. Lai, "Construction of bivariate compactly supported biorthogonal box spline
wavelets with arbitrarily high regularities", Applied and Computational Harmonic Analysis,
53-74, 1999.

* W. He and M.J. Lai, "Digital filters associated with bivariate box spline wavelets",
Journal of Electronic Imaging, 453-466, 1997.

* W. He and M.J. Lai, "A new sufficient condition for the orthonormality of refinable functions",
in Approximation Theory IX, Volume 2: Computational Aspects, C.K. Chui and L.L. Schumaker (eds.),
Vanderbilt Univ. Press, Nashville, 121-128, 1998.

Interactive Sketch Generation (with H. Kang, C. Chui, and U. Chakraborty),
The Visual Computer, 21 (9), 821-830, 2005.

Multi-scale Stroke-based Rendering by Evolutionary Algorithm (with H. Kang, U. Chakraborty, and C. Chui),
Proc. International Workshop on Frontiers of Evolutionary Algorithms, 546-549, 2005.

Nonstationary tight wavelet frames, II: unbounded intervals (with C.K. Chui and J. Stoeckler),
Applied and Computational Harmonic Analysis, 18, 25-66, 2005.

A universal noise removal algorithm with impulse detector (with R. Garnett, T. Huegerich, and C.K. Chui),
IEEE Transactions on Image Processing, 14, 1747-1754, 2005.

Nonstationary tight wavelet frames, I: bounded intervals (with C.K. Chui and J. Stoeckler), 
Applied and Computational Harmonic Analysis, 17, 141-197, 2004.

Compactly supported tight affine frames with integer dilations and maximum vanishing moments (with C.K. Chui, J. Stoeckler, and Q. Sun), 
Advanced Computational Mathematics 18, 159--187, 2003.

Construction of trivariate compactly supported biorthogonal box spline wavelets (with Ming-Jun Lai),
Journal of Approximation Theory, 120, 1-19, 2003.

Compactly supported tight and sibling frames with maximum vanishing moments (with C.K. Chui and J. Stoeckler),
Applied and Computational Harmonic Analysis, 13, 224-262 2002.

Tight frames with maximum vanishing moments and minimum support (with C. K. Chui and J. Stoeckler),
in Approximation Theory X, C.K. Chui, L.L. Schumaker, and J. Stoeckler, eds., Vanderbilt University Press, Nashville, 187-206,2002.

Construction of multivariate tight frames via Kronecker products (with C.K. Chui),
Applied and Computational Harmonic Analysis, 11, 305-312, 2001.

Examples of bivariate nonseparable compactly supported orthonormal continuous wavelets (with M.J. Lai),
IEEE Transactions on Image Processing, 9, 949-953, 2000.

Compactly supported tight frames associated with refinable functions (with C.K. Chui),
Applied and Computational Harmonic Analysis, 8, 293--319, 2000.

Construction of bivariate compactly supported biorthogonal box spline wavelets with arbitrarily high regularities, (with M.J. Lai),
Applied and Computational Harmonic Analysis 6, 53--74, 1999.

Bivariate box spline wavelets in Sobolev spaces (with M.J. Lai),
in Wavelet Applications in Signal and Image Processing VI, Proceedings of the International Society for Optical Engineering 3458, 56--66, 1998.

A new sufficient condition for the orthonormality of refinable functions (with M.J. Lai),
in Approximation Theory IX, Volume 2: Computational Aspects, C.K. Chui and L.L. Schumaker (eds.), Vanderbilt Univ. Press, Nashville, 121--128, 1998.

Digital filters associated with bivariate box spline wavelets (with M.J. Lai),
Journal of Electronic Imaging, 6, 453--466, 1997.