# Ming-Jun Lai

According to our database

Collaborative distances:

^{1}, Ming-Jun Lai authored at least 55 papers between 1991 and 2019.Collaborative distances:

## Timeline

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## Bibliography

2019

An economical representation of PDE solution by using compressive sensing approach.

Comput. Aided Des., 2019

2018

A Bivariate Spline Method for Second Order Elliptic Equations in Non-divergence Form.

J. Sci. Comput., 2018

On DC based Methods for Phase Retrieval.

CoRR, 2018

Semi-Supervised Cluster Extraction via a Compressive Sensing Approach.

CoRR, 2018

2017

Parallel Multi-Block ADMM with o(1 / k) Convergence.

J. Sci. Comput., 2017

A Compressive Sensing Approach to Community Detection with Applications.

CoRR, 2017

2016

Polygonal Spline Spaces and the Numerical Solution of the Poisson Equation.

SIAM J. Numerical Analysis, 2016

Sharp Sufficient Conditions for Stable Recovery of Block Sparse Signals by Block Orthogonal Matching Pursuit.

CoRR, 2016

On recursive refinement of convex polygons.

Computer Aided Geometric Design, 2016

2015

Orthogonal Rank-One Matrix Pursuit for Low Rank Matrix Completion.

SIAM J. Scientific Computing, 2015

The probabilistic estimates on the largest and smallest q-singular values of random matrices.

Math. Comput., 2015

Scattered data interpolation with nonnegative preservation using bivariate splines and its application.

Computer Aided Geometric Design, 2015

2014

Stochastic Coordinate Coding and Its Application for Drosophila Gene Expression Pattern Annotation.

CoRR, 2014

Rank-One Matrix Pursuit for Matrix Completion.

Proceedings of the 31th International Conference on Machine Learning, 2014

2013

Improved Iteratively Reweighted Least Squares for Unconstrained Smoothed 퓁

_{q}Minimization.
SIAM J. Numerical Analysis, 2013

Augmented 퓁

_{1}and Nuclear-Norm Models with a Globally Linearly Convergent Algorithm.
SIAM J. Imaging Sciences, 2013

Box Spline Wavelet Frames for Image Edge Analysis.

SIAM J. Imaging Sciences, 2013

Scattered data interpolation by bivariate splines with higher approximation order.

J. Computational Applied Mathematics, 2013

Journal of Approximation Theory, 2013

2012

Piecewise Linear Approximation of the Continuous Rudin-Osher-Fatemi Model for Image Denoising.

SIAM J. Numerical Analysis, 2012

Augmented L1 and Nuclear-Norm Models with a Globally Linearly Convergent Algorithm

CoRR, 2012

2011

An Unconstrained ℓ

_{q}Minimization with 0(DOI)

SIAM Journal on Optimization, 2011

Convergence of discrete and penalized least squares spherical splines.

Journal of Approximation Theory, 2011

2009

Popular Wavelet Families and Filters and Their Use.

Proceedings of the Encyclopedia of Complexity and Systems Science, 2009

Multivariate Splines and Their Applications.

Proceedings of the Encyclopedia of Complexity and Systems Science, 2009

A Domain Decomposition Method for Computing Bivariate Spline Fits of Scattered Data.

SIAM J. Numerical Analysis, 2009

The Convergence of a Central-Difference Discretization of Rudin-Osher-Fatemi Model for Image Denoising.

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

2007

The convergence of three L

_{1}spline methods for scattered data interpolation and fitting.
Journal of Approximation Theory, 2007

Spline functions on triangulations.

Encyclopedia of mathematics and its applications 110, Cambridge University Press, ISBN: 978-0-521-87592-9, 2007

2006

Construction of multivariate compactly supported prewavelets in

*L*_{2}space and pre-Riesz bases in Sobolev spaces.
Journal of Approximation Theory, 2006

Factorization of multivariate positive Laurent polynomials.

Journal of Approximation Theory, 2006

Computer Aided Geometric Design, 2006

Construction of multivariate compactly supported orthonormal wavelets.

Adv. Comput. Math., 2006

2005

Trivariate spline approximations of 3D Navier-Stokes equations.

Math. Comput., 2005

2004

On the divided differences of the remainder in polynomial interpolation.

Journal of Approximation Theory, 2004

L

_{1}Spline Methods for Scattered Data Interpolation and Approximation.
Adv. Comput. Math., 2004

A New Kind of Trivariate C

^{1}Macro-element.
Adv. Comput. Math., 2004

2003

Macro-elements and stable local bases for splines on Powell-Sabin triangulations.

Math. Comput., 2003

Construction of trivariate compactly supported biorthogonal box spline wavelets.

Journal of Approximation Theory, 2003

2002

Quadrilateral Macroelements.

SIAM J. Math. Analysis, 2002

Error bounds for minimal energy bivariate polynomial splines.

Numerische Mathematik, 2002

2001

Macro-elements and stable local bases for splines on Clough-Tocher triangulations.

Numerische Mathematik, 2001

2000

Examples of bivariate nonseparable compactly supported orthonormal continuous wavelets.

IEEE Trans. Image Processing, 2000

On Schwarz's domain decomposition methods for elliptic boundary value problems.

Numerische Mathematik, 2000

Algorithms for G

^{1}connection of multiple parametric bicubic NURBS surfaces.
Numerical Algorithms, 2000

Filling polygonal holes using C1 cubic triangular spline patches.

Computer Aided Geometric Design, 2000

1998

On the approximation power of bivariate splines.

Adv. Comput. Math., 1998

1997

Digital filters associated with bivariate box spline wavelets.

J. Electronic Imaging, 1997

Geometric interpretation of smoothness conditions of triangular polynomial patches.

Computer Aided Geometric Design, 1997

1996

Scattered data interpolation and approximation using bivariate C

_{1}piecewise cubic polynomials.
Computer Aided Geometric Design, 1996

1995

On the digital filter associated with Daubechies' wavelets.

IEEE Trans. Signal Processing, 1995

1994

Approximation order from bivariate C1-cubics on a four-directional mesh is full.

Computer Aided Geometric Design, 1994

1992

Fortran subroutines for B-nets of box splines on three- and four-directional meshes.

Numerical Algorithms, 1992

1991

A characterization theorem of multivariate splines in blossoming form.

Computer Aided Geometric Design, 1991

Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four-directional meshes.

Computer Aided Geometric Design, 1991