Analysis of Two-Dimensional Center Weighted Median Filters
نویسنده
چکیده
Center weighted median (CWM) filters, which have been recognized as detail preserving filters, are an important and the simplest subclass of weighted median (WM) filters. In this paper, we analyze the root signals of two-dimensional (2-D) CWM filters. In particular, we derive the required form for a signal to be a root of a 2-D CWM filter. The required form of signals to be roots is then used to evaluate the detail preserving properties of 2-D CWM filters. As examples, the detail preserving properties of some 2-D CWM filters are compared with other detail preserving filters, i.e. multilevel median filters. The generation of binary root signals of some 2-D CWM filters is treated in the term of the smallest surviving object (SSO). It is illustrated by some examples that CWM filters with different orientation of windows can be useful in image segmentation.
منابع مشابه
Generating Idempotent Filters
Idempotent filters produce a root signal in a single filter pass, i.e., the filter output is invariant to further filterings with the same filter. In this paper median based idempotent filter structures are introduced. Two approaches to generate these filters are studied: weighted median filters and median filter cascades. Two subclasses of n-dimensional idempotent weighted median filters, call...
متن کاملMedian-Rational Hybrid Filters
In this paper we introduce a new class of nonlinear filters called Median-Rational Hybrid Filters (MRHF) based on Rational Functions (RF). The filter output is the result of a rational operation taking into account three sub-functions, such as two FIR or median subfilters and one center weighted median filter (CWMF). The proposed MRHF filters have the inherent property that on smooth areas they...
متن کاملPerformance of Detail-Preserving Weighted Median Filters for Image Processing - Nonlinear Digital Signal Processing, 1993. IEEE Winter Workshop on
In this paper, we present a method to design optimal two-dimensional detail-preserving weighted median (WM) filters in the sense that these filters preserve some desired image details, such as lines, corners, etc., under which they achieve the maximum noise attenuation. The performance of these detail-preserving WM filters is compared to that of FIR-median (FMII) hybrid filters which have shown...
متن کاملBinary Analysis of Center-weighted Median Filters
This paper focuses on the binary analysis of the center-weighted median (CWM) filters. This subclass of nonlinear stack filters is based on minimal positive Boolean functions (PBFs), the complexity of which depends on two parameters only, such as a window size and a weight of the central sample. It can be easily seen that the complexity of PBFs corresponding with CWMs increases with the increas...
متن کاملHigh Density Impulse Noise Removal in Color Images Using Region of Interest Median Controlled Adaptive Recursive Weighted Median Filter
An Adaptive varying window size Recursive Weighted Median Filter [ARWMF] for removing the impulse noise in Color images is presented. The weights for the RWMF are calculated by using the median controlled algorithm. By applying Region of Interest [ROI] on selected windows the weight calculation’s efficiency can be increased and the memory will be reduced because of the ROI. In median controlled...
متن کامل