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      Computer-aided detection of renal calculi from noncontrast CT images using TV-flow and MSER features : Computer-aided detection of renal calculi

      , , , , ,
      Medical Physics
      Wiley-Blackwell

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          Robust anisotropic diffusion.

          Relations between anisotropic diffusion and robust statistics are described in this paper. Specifically, we show that anisotropic diffusion can be seen as a robust estimation procedure that estimates a piecewise smooth image from a noisy input image. The "edge-stopping" function in the anisotropic diffusion equation is closely related to the error norm and influence function in the robust estimation framework. This connection leads to a new "edge-stopping" function based on Tukey's biweight robust estimator that preserves sharper boundaries than previous formulations and improves the automatic stopping of the diffusion. The robust statistical interpretation also provides a means for detecting the boundaries (edges) between the piecewise smooth regions in an image that has been smoothed with anisotropic diffusion. Additionally, we derive a relationship between anisotropic diffusion and regularization with line processes. Adding constraints on the spatial organization of the line processes allows us to develop new anisotropic diffusion equations that result in a qualitative improvement in the continuity of edges.
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            Efficient Belief Propagation for Early Vision

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              Efficient and reliable schemes for nonlinear diffusion filtering.

              Nonlinear diffusion filtering in image processing is usually performed with explicit schemes. They are only stable for very small time steps, which leads to poor efficiency and limits their practical use. Based on a discrete nonlinear diffusion scale-space framework we present semi-implicit schemes which are stable for all time steps. These novel schemes use an additive operator splitting (AOS), which guarantees equal treatment of all coordinate axes. They can be implemented easily in arbitrary dimensions, have good rotational invariance and reveal a computational complexity and memory requirement which is linear in the number of pixels. Examples demonstrate that, under typical accuracy requirements, AOS schemes are at least ten times more efficient than the widely used explicit schemes.
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                Author and article information

                Journal
                Medical Physics
                Med. Phys.
                Wiley-Blackwell
                00942405
                January 2015
                December 22 2014
                : 42
                : 1
                : 144-153
                Article
                10.1118/1.4903056
                d126bc07-6663-4eb4-a1a9-e411995f59f0
                © 2014

                http://doi.wiley.com/10.1002/tdm_license_1

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