Digital Image Processing using SCILAB by Rohit M. Thanki & Ashish M. Kothari

Author:Rohit M. Thanki & Ashish M. Kothari
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

3.4 High-Pass Frequency Domain Filter

The high-pass frequency domain filter allows high-frequency components to pass and low-frequency components are attenuated. The result is that any smooth transition (blurred) in an image will be replaced with a sharp transition (edges). This filter is known as the sharpening filter .

3.4.1 Ideal High-Pass Filter (HPF)

The filter transfer function for the ideal HPF is given as follows:

(3.19)

It allows all high-frequency components with a distance from the origin of greater than D 0 without any filtering but completely attenuates all low frequency components. The SCILAB code for the ideal HPF is given here and the result of the code is given in Fig. 3.8.

Fig. 3.8Result of the ideal high-pass filter (HPF): (a) original image; (b) filtered image with cut-off frequency = 100; and (c) filter function response with radius = 100

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