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Image reconstruction from sparse projections using S-transform
Faculty of Informatics - Papers (Archive)
  • Jianhua Luo, Shanghai Jiao Tong University
  • Jiahai Liu, Zhejiang University, China
  • Wanqing Li, University of Wollongong
  • Yuemin Zhu
  • Ruiyao Jiang, Shanghai Jiaotong University, China
Publication Date
Publication Details

Luo, J., Liu, J., Li, W., Zhu, Y. & Jiang, R. (2012). Image reconstruction from sparse projections using S-transform. Journal of Mathematical Imaging and Vision, 43 (3), 227-239.

Sparse projections are an effective way to reduce the exposure to radiation during X-ray CT imaging. However, reconstruction of images from sparse projection data is challenging. This paper introduces a new sparse transform, referred to as S-transform, and proposes an accurate image reconstruction method based on the transform. The S-transform effectively converts the ill-posed reconstruction problem into a well-defined one by representing the image using a small set of transform coefficients. An algorithm is proposed that efficiently estimates the S-transform coefficients from the sparse projections, thus allowing the image to be accurately reconstructed using the inverse S-transform. The experimental results on both simulated and real images have consistently shown that, compared to the popular total variation (TV) method, the proposed method achieves comparable results when the projections is sparse, and substantially improves the quality of the reconstructed image when the number of the projections is relatively high. Therefore, the use of the proposed reconstruction algorithm may permit reduction of the radiation exposure without trade-off in imaging performance.
Citation Information
Jianhua Luo, Jiahai Liu, Wanqing Li, Yuemin Zhu, et al.. "Image reconstruction from sparse projections using S-transform" (2012) p. 227 - 239
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