Image reconstruction is the transformation process from a reduced-order representation to the original image pixel form. In materials characterization, it can be utilized as a method to retrieve material composition information. In our previous work, a surfacelet transform was developed to efficiently represent boundary information in material images with surfacelet coefficients. In this paper, new constrained-conjugate-gradient based image reconstruction methods are proposed as the inverse surfacelet transform. With geometric constraints on boundaries and internal distributions of materials, the proposed methods are able to reconstruct material images from surfacelet coefficients as either lossy or lossless compressions. The results between the proposed and other optimization methods for solving the least-square error inverse problems are compared.
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Georgia Institute of Technology,
e-mail: whuang47@gatech.edu
Georgia Institute of Technology,
e-mail: yan.wang@me.gatech.edu
Georgia Institute of Technology,
e-mail: david.rosen@me.gatech.edu
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June 2014
Research-Article
Inverse Surfacelet Transform for Image Reconstruction With Constrained-Conjugate Gradient Methods
Wei Huang,
Georgia Institute of Technology,
e-mail: whuang47@gatech.edu
Wei Huang
School of Mechanical Engineering
,Georgia Institute of Technology,
Atlanta, GA 30332
e-mail: whuang47@gatech.edu
Search for other works by this author on:
Yan Wang,
Georgia Institute of Technology,
e-mail: yan.wang@me.gatech.edu
Yan Wang
1
School of Mechanical Engineering
,Georgia Institute of Technology,
Atlanta, GA 30332
e-mail: yan.wang@me.gatech.edu
1Corresponding author.
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David W. Rosen
Georgia Institute of Technology,
e-mail: david.rosen@me.gatech.edu
David W. Rosen
School of Mechanical Engineering
,Georgia Institute of Technology,
Atlanta, GA 30332
e-mail: david.rosen@me.gatech.edu
Search for other works by this author on:
Wei Huang
School of Mechanical Engineering
,Georgia Institute of Technology,
Atlanta, GA 30332
e-mail: whuang47@gatech.edu
Yan Wang
School of Mechanical Engineering
,Georgia Institute of Technology,
Atlanta, GA 30332
e-mail: yan.wang@me.gatech.edu
David W. Rosen
School of Mechanical Engineering
,Georgia Institute of Technology,
Atlanta, GA 30332
e-mail: david.rosen@me.gatech.edu
1Corresponding author.
Contributed by the Computers and Information Division of ASME for publication in the JOURNAL OF Computing AND INFORMATION SCIENCE IN ENGINEERING. Manuscript received September 11, 2013; final manuscript received December 20, 2013; published online March 7, 2014. Assoc. Editor: Charlie C.L. Wang.
J. Comput. Inf. Sci. Eng. Jun 2014, 14(2): 021005 (10 pages)
Published Online: March 7, 2014
Article history
Received:
September 11, 2013
Revision Received:
December 20, 2013
Citation
Huang, W., Wang, Y., and Rosen, D. W. (March 7, 2014). "Inverse Surfacelet Transform for Image Reconstruction With Constrained-Conjugate Gradient Methods." ASME. J. Comput. Inf. Sci. Eng. June 2014; 14(2): 021005. https://doi.org/10.1115/1.4026376
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