• Acta Photonica Sinica
  • Vol. 43, Issue 10, 1011004 (2014)
MA Yu1、*, ZHAO Jiu-long1, YU Ting1, and LI Shuang2
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
  • show less
    DOI: 10.3788/gzxb20144310.1011004 Cite this Article
    MA Yu, ZHAO Jiu-long, YU Ting, LI Shuang. The Reconstruction Algorithm of Boundary Surfaces Based on the 3D Fractional Differential Enhancement[J]. Acta Photonica Sinica, 2014, 43(10): 1011004 Copy Citation Text show less
    References

    [1] YAO Bao-Li, LEI Ming, XUE Bing, et al. Progress and applications of high-resolution and super-resolution optical imaging in space and biology[J]. Acta Photonica Sinica, 2011, 40(11): 1607-1618.

    [2] LI Zhao-hui. Design and optimization in constructing an in-vivo confocal laser scanning microscopy[J]. Acta Photonica Sinica, 2011, 40(5): 007.

    [3] AL-KOFAHI K A, LASEK S, SZAROWSKI D H, et al. Rapid automated three-dimensional tracing of neurons from confocal image stacks[J]. IEEE Transactions on Information Technology in Biomedicine, 2002, 6(2): 171-187.

    [4] BUCHER D, SCHOLZ M, STETTER M, et al. Correction methods for three-dimensional reconstructions from confocal images: I. Tissue shrinking and axial scaling[J]. Journal of Neuroscience Methods, 2000, 100(1): 135-143.

    [5] CAI H, XU X, LU J, et al. Repulsive force based snake model to segment and track neuronal axons in 3D microscopy image stacks[J]. Neuroimage, 2006, 32(4): 1608-1620.

    [6] LORENSEN E, CLINE E. Marching cubes: a high resolution 3D surface construction algorithm [J]. Computer Graphics, 1987, 21(4): 163-169.

    [7] WANG L, BAI J, HE P, et al. A computational framework for approximating boundary surfaces in 3-D biomedical images[J]. IEEE Transactions on Information Technology in Biomedicine, 2007, 11(6): 668-682.

    [8] MA Yu, WANG Li-sheng, TANG Yuan-yuan. A novel algorithm for tracking step-like edge surfaces within 3D images[J]. Journal of Computer-Aided Design and Computer Graphics, 2007, 19(3): 329-333.

    [9] OLDHAM K B, SPANIER J. The fractional calculus[M]. Dover, 1974.

    [10] CHEN Y Q, MOORE K L. Discretization schemes for fractional-order differentiators and integrators[J]. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2002, 49(3): 363-367.

    [11] PU Yi-fei, WANG Wei-xing, ZHOU Ji-liu, et al. Fractional-order derivative detection of texture of image and the realize of fractional-order derivative filtering[J]. Science in China (Series E, Information Sciences), 2008, 38(12): 2252-2272.

    [12] PU Yi-fei. Application of fractional differential approach to digital image processing. journal of sichuan university[J]. Engineering Science Edition, 2007, 39(3): 124-132.

    [13] PU Y F, ZHOU J L, YUAN X. Fractional differential mask: a fractional differential-based approach for multiscale texture enhancement[J]. IEEE Transactions on Image Processing, 2010, 19(2): 491-511.

    [14] YANG Zhu-zhong, ZHOU Ji-liu, YAN Xiang-yu, et al. Image enhancement based on fractional differentials[J]. Journal of Computer-Aided Design and Computer Graphics, 2008, 20(3): 343-348.

    [15] MA Yu, ZHANG Yan-ning, WANG Li-sheng. Three dimensional edge surfaces tracked from noisy industrial CT slice images[J]. Acta Photonica Sinica. 2013, 42(8): 916-923.

    MA Yu, ZHAO Jiu-long, YU Ting, LI Shuang. The Reconstruction Algorithm of Boundary Surfaces Based on the 3D Fractional Differential Enhancement[J]. Acta Photonica Sinica, 2014, 43(10): 1011004
    Download Citation