Abstract
In dilation or erosion processes, a shock filter is widely used in signal enhancing or image deburring. Traditionally, sign function is employed in shock filtering for reweighting of edge-detection in images and decides whether a pixel should dilate to the local maximum or evolve to the local minimum. Some researchers replace sign function with tanh function or arctan function, trying to change the evolution tracks of the pixels when filtering is in progress. However, analysis here reveals that only function replacement does usually not work. This paper revisits first shock filters and their modifications. Then, a fuzzy shock filter is proposed after a membership function in a shock filter model is adopted to adjust the evolve rate of image pixels. The proposed filter is a parameter tuning system, which unites several formulations of shock filters into one fuzzy framework. Experimental results show that the new filter is flexible and robust and can converge fast.
Highlights
Image enhancement is a method for improving the quality or sharpening certain details of an image and is widely used in many fields such as fingerprint recognition [1], medical image processing [2,3,4], remote sense image processing [5], and underwater image processing [6]
Shock filters are such a partial differential equations (PDEs)-based approach for the enhancement of image signals proposed by Osher and
Entropy 2017, 19, 142 to their discrete shock filter, Osher and Rudin introduced a continuous shock filter based on PDEs [12], which most of the current shock filter formulations are based on for modification
Summary
Image enhancement is a method for improving the quality or sharpening certain details of an image and is widely used in many fields such as fingerprint recognition [1], medical image processing [2,3,4], remote sense image processing [5], and underwater image processing [6]. PDEs have come into a general framework for enhancement purposes and are developed in a coupled or independent manner Shock filters are such a PDE-based approach for the enhancement of image signals proposed by Osher and. To their discrete shock filter, Osher and Rudin introduced a continuous shock filter based on PDEs [12], The goal of this paper is to propose a novel shock filter called a fuzzy shock filter, which is which most of the current shock filter formulations are based on for modification. It provides a general framework for the different function that estimates by the Osher flow direction the pixels; can select differentformulations functions or different shock filter proposed and ofRudin andnamely, we other modified are provided and parameters to sharpen or flatten a pixel in the same framework.
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