SelectedWorks - Jiehua Zhu

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Selected Works of Jiehua Zhu

Professor

Research Interests: Computed tomography, biomedical imaging, signal processing, pattern recognition

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About Jiehua Zhu

Research Interests: Computed tomography, biomedical imaging, signal processing, pattern recognition

Construction of a Full Row-Rank Matrix System for Multiple Scanning ...

Journal of Computational and Applied Mathematics (2017)

Xiezhang Li, James D. Diffenderfer and Jiehua Zhu

A full row-rank system matrix generated by scans along two directions in discrete tomography was recently studied. In this paper, ...

Manifold Learning: Dimensionality Reduction and High Dimensional Data Reconstruction via ...

Neurocomputing (2016)

Zhong Zhao, Guocan Feng, Jiehua Zhu and Qi Shen

Nonlinear dimensionality reduction (DR) algorithms can reveal the intrinsic characteristic of the high dimensional data in a succinct way. However, ...

Error Analysis of Reweighted l₁ Greedy Algorithm for Noisy ...

Journal of Computational and Applied Mathematics (2015)

Jiehua Zhu, Xiezhang Li, Fangjun Arroyo and Edward Arroyo

Sparse solutions for an underdetermined system of linear equations Φx=u can be found more accurately by l1-minimization type algorithms, such ...

Contribution to Book

Maximum Entropy Regularized Group Collaborative Representation for Face Recognition

Proceedings of IEEE International Conference on Imaging Processing (2015)

Zhong Zhao, Guocan Feng, Lifang Zhang and Jiehua Zhu

While sparse representation is heavily emphasized in many recent literatures, the importance of collaborative representation is usually ignored. In this ...

The Convergence of Block Cyclic Projection with Over-Relaxation Parameters for ...

Journal of Computational and Applied Mathematics (2015)

Fangjun Arroyo, Edward Arroyo, Xiezhang Li and Jiehua Zhu

The convergence of the block cyclic projection for compressed sensing based tomography (BCPCS) algorithm had been proven recently in the ...

The Convergence of Block Cyclic Projection with Underrelaxation Parameters for ...

Journal of X-Ray Science and Technology (2014)

Fangjun Arroyo, Edward Arroyo, Xiezhang Li and Jiehua Zhu

The block cyclic projection method in the compressed sensing framework (BCPCS) was introduced for image reconstruction in computed tomography and ...

A Generalized l₁ Greedy Algorithm for Image Reconstruction in ...

Applied Mathematics and Computations (2013)

Jiehua Zhu and Xiezhang Li

The sparse vector solutions for an underdetermined system of linear equations Ax=b have many applications in signal recovery and image ...

Numerical Studies of the Generalized l₁ Greedy Algorithm for ...

Advanced in Computed Tomography (2013)

Fangjun Arroyo, Edward Arroyo, Xiezhang Li and Jiehua Zhu

The generalized l1 greedy algorithm was recently introduced and used to reconstruct medical images in computerized tomography in the compressed ...

The Convergence of Two Algorithms for Compressed Sensing Based Tomography

Advanced in Computed Tomography (2012)

Xiezhang Li and Jiehua Zhu

The constrained total variation minimization has been developed successfully for image reconstruction in computed tomography. In this paper, the block ...

High-Degree Polynomial Models for CT Simulation

Journal of X-Ray Science and Technology (2012)

Yingkang Hu and Jiehua Zhu

The power and flexibility of polynomial surfaces are unleashed when their degrees are no longer restricted to four or lower, ...

A Full Row-Rank System Matrix Generated Along Two Directions in ...

Applied Mathematics and Computation (2011)

Xiezhang Li, Hua Wang, Yan Wu and Jiehua Zhu

A full row-rank system matrix generated by the strip-based projection model along one scanning direction was studied recently in [9]. ...

Contribution to Book

A Block Components Average Algorithm for Compressed Sensing Based Tomography

Proceedings of the International Symposium on Photonics and Optoelectronics (2011)

Xiezhang Li and Jiehua Zhu

The constrained total variation minimization has been developed successfully for image reconstruction in computerized tomography. The convergence of the block ...

Contribution to Book

The Block Diagonally-Relaxed Orthogonal Projection Algorithm for Compressed Sensing Based ...

Proceedings of the International Symposium on Photonics and Optoelectronics (2011)

Jiehua Zhu and Xiezhang Li

In this paper, we propose a block diagonally-relaxed orthogonal projection algorithm incorporated into the total variation minimization for computed tomography ...

A Full Row-Rank System Matrix Generated by the Strip-Based Projection ...

Applied Mathematics and Computation (2010)

Jiehua Zhu and Xiezhang Li

Let C u = k be an underdetermined linear system generated by the strip-based projection model in discrete tomography, where ...

Computed Tomography Simulation Using Supertoroids

Journal of X-Ray Science and Technology (2010)

Yingkang Hu and Jiehua Zhu

Analytic simulation in computed tomography(CT) generates projection data for evaluating and improving CT image reconstruction algorithms and has played an ...

Convergence of Block Cyclic Projection and Cimmino Algorithms for Compressed ...

Journal of X-Ray Science and Technology (2010)

Xiezhang Li and Jiehua Zhu

The amalgamated projection method for convex feasibility and optimization problems has recently been proposed and the stable convergence under summable ...

The SOR-k Method for Linear System with P-Cyclic Matrices

International Journal of Computer Mathematics (2010)

Liancheng Wang, Jiehua Zhu and Xiezhang Li

Let the system matrix of a linear system be p-cyclic and consistently ordered. Under the assumption that the pth power ...

Analysis on the Strip-Based Projection Model for Discrete Tomography

Discrete Applied Mathematics (2008)

Jiehua Zhu, Xiezhang Li, Yangbo Ye and Ge Wang

Discrete tomography deals with image reconstruction of an object with finitely many gray levels (such as two). Different approaches are ...

A Note of Reconstruction Algorithm of the Strip-Based Projection Model ...

Journal of X-Ray Science and Technology (2008)

Xiezhang Li and Jiehua Zhu

The line projection with a lattice of points and the strip projection with a lattice of cells are popularly used ...

Contribution to Book

System Generated by Strip-Based Projections in Discrete Tomography

Developments in X-Ray Tomography V: Proceedings of the Society of Photo-Optical Instrumentation Engineers (2006)

Jiehua Zhu, Xiezhang Li, Yangbo Ye and Ge Wang

The projection equations in the research of discrete tomography are obtained by either counting the number of points that each ...

Computed Tomography Simulation With Superquadrics

Medical Physics (2005)

Jiehua Zhu, Shiying Zhao, Yangbo Ye and Ge Wang

Accurate and efficient simulation of an x-ray transform for representative structures plays an important role in research and development of ...

Numerical Studies on Feldkamp-Type and Katesevich-Type Algorithms for Cone-Beam Scanning ...

Developments in X-Ray Tomography IV (2004)

Jiehua Zhu, Shiying Zhao, Hengyong Yu, Yangbo Ye, et al.

In this paper, we perform numerical studies on Feldkamp-type and Katsevich-type algorithms for cone-beam reconstruction with a nonstandard spiral locus ...

Geometric Studies on Variable Radius Spiral Cone-Beam Scanning

Medical Physics (2004)

Yangbo Ye, Jiehua Zhu and Ge Wang

The goal is to perform geometric studies on cone-beam CT scanning along a three-dimensional ~3D! spiral of variable radius. First, ...

Minimum Detection Windows, Pi-Line Existence and Uniqueness for Helical Cone-Beam ...

Medical Physics (2004)

Yangbo Ye, Jiehua Zhu and Ge Wang

The goal of this paper is to study Cone‐beam CT scanning along a helix of variable pitch. First the rationale ...

X-Ray Transform and 3D Radon Transform for Ellipsoids and Tetrahedra

Journal of X-Ray Science and Technology (2004)

Jiehua Zhu, Seung Wook Lee, Yangbo Ye, Shiying Zhao, et al.

Accurate simulation of X-ray transforms of representative objects plays an important role in the evaluation and improvement of CT reconstruction ...