H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 34 Citations 4,990 98 World Ranking 1524 National Ranking 62

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Algorithm

Bin Han spends much of his time researching Wavelet, Refinable function, Mathematical analysis, Dual wavelet and Transfer matrix. Bin Han has researched Wavelet in several fields, including Discrete mathematics, Spline and Pure mathematics. His work deals with themes such as Matrix and Scalar, which intersect with Refinable function.

The study incorporates disciplines such as Orthonormal basis, Biorthogonal system and Eigenvalues and eigenvectors in addition to Mathematical analysis. His Dual wavelet research incorporates themes from Vanishing moments and Function space. Bin Han combines subjects such as Smoothness and Antisymmetric relation with his study of Transfer matrix.

His most cited work include:

  • Framelets: MRA-based constructions of wavelet frames☆☆☆ (668 citations)
  • On Dual Wavelet Tight Frames (196 citations)
  • Multivariate refinement equations and convergence of subdivision schemes (144 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of study are Wavelet, Mathematical analysis, Pure mathematics, Refinable function and Algorithm. The study of Wavelet is intertwined with the study of Discrete mathematics in a number of ways. His research integrates issues of Orthonormal basis and Filter bank in his study of Mathematical analysis.

His Pure mathematics study combines topics from a wide range of disciplines, such as Vanishing moments, Matrix and Gravitational singularity. He has included themes like Smoothness, Linear combination and Hermite polynomials in his Refinable function study. His Algorithm research is multidisciplinary, relying on both Filter, Inpainting, Shearlet, Tensor product and Cascade algorithm.

He most often published in these fields:

  • Wavelet (53.23%)
  • Mathematical analysis (35.48%)
  • Pure mathematics (26.61%)

What were the highlights of his more recent work (between 2018-2021)?

  • Pure mathematics (26.61%)
  • Wavelet (53.23%)
  • Applied mathematics (12.10%)

In recent papers he was focusing on the following fields of study:

The scientist’s investigation covers issues in Pure mathematics, Wavelet, Applied mathematics, Vanishing moments and Vector-valued function. His work in the fields of Pure mathematics, such as Sobolev space, intersects with other areas such as Shearlet transform. His Wavelet research focuses on Biorthogonal system in particular.

His studies in Applied mathematics integrate themes in fields like Helmholtz equation, Optimal control, Hermite polynomials, Spline and Discretization. His biological study spans a wide range of topics, including Refinable function, Hilbert's syzygy theorem and Mathematical analysis. The various areas that he examines in his Mathematical analysis study include Characterization and Shearlet.

Between 2018 and 2021, his most popular works were:

  • Directional compactly supported box spline tight framelets with simple geometric structure (10 citations)
  • Quasi-tight framelets with high vanishing moments derived from arbitrary refinable functions (6 citations)
  • Generalized matrix spectral factorization and quasi-tight framelets with a minimum number of generators (5 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Algebra
  • Algorithm

His scientific interests lie mostly in Vanishing moments, Pure mathematics, Filter bank, Spectral theorem and Matrix. His Vanishing moments research includes themes of Refinable function, Factorization and Real algebraic geometry. Particularly relevant to Hilbert's syzygy theorem is his body of work in Pure mathematics.

His Filter bank research is multidisciplinary, relying on both Dimension, Structure, Mathematical analysis and Nonzero coefficients.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

Framelets: MRA-based constructions of wavelet frames☆☆☆

Ingrid Daubechies;Bin Han;Amos Ron;Zuowei Shen.
Applied and Computational Harmonic Analysis (2003)

865 Citations

On Dual Wavelet Tight Frames

Bin Han.
Applied and Computational Harmonic Analysis (1997)

298 Citations

Multivariate refinement equations and convergence of subdivision schemes

Bin Han;Rong-Qing Jia.
Siam Journal on Mathematical Analysis (1998)

238 Citations

Pairs of Dual Wavelet Frames from Any Two Refinable Functions

Ingrid Daubechie;Bin Han.
Constructive Approximation (2004)

186 Citations

Vector cascade algorithms and refinable function vectors in Sobolev spaces

Bin Han.
Journal of Approximation Theory (2003)

171 Citations

Biorthogonal Multiwavelets on the Interval: Cubic Hermite Splines

W. Dahmen;B. Han;R.-Q. Jia;A. Kunoth.
Constructive Approximation (2000)

149 Citations

Compactly supported tight wavelet frames and orthonormal wavelets of exponential decay with a general dilation matrix

Bin Han.
Journal of Computational and Applied Mathematics (2003)

125 Citations

Symmetric orthonormal scaling functions and wavelets with dilation factor 4

Bin Han.
Advances in Computational Mathematics (1998)

122 Citations

Approximation Properties and Construction of Hermite Interpolants and Biorthogonal Multiwavelets

Bin Han.
Journal of Approximation Theory (2001)

114 Citations

Dual multiwavelet frames with high balancing order and compact fast frame transform

Bin Han.
Applied and Computational Harmonic Analysis (2009)

112 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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