Difference between high pass filtered and and low pass filtered images with examples showing why the kennel is a low pass or high pass filter

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Difference between high pass filtered and and low pass filtered images with examples showing why the kennel is a low pass or high pass filter

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Low pass filtered image

High pass filtered image

In low pass filter frequencies less than the particular frequency is allowed. It attenuates the higher frequencies.

 

In high pass filter frequencies greater than the particular frequency is allowed. It attenuates the low- level frequencies.

 

Low pass filter is used for smoothing the image. The image is smoothed by decreasing the disparity between pixel values of the image and averaging the nearby pixels

High pass filter is used for sharpening the image.  The image is sharpened when the contrast is enhanced between adjoining areas of the image having very low variation in the brightness of the image.

The low-pass filtered image looks blurred as compared to the original image. This filter averages out rapid changes in intensity of the image.

 High pass filters emphasize on every fine details of the processed image. It also amplifies noise present in the image.

Filtering can be better understood from the convolution kernel.  A kernel is a small grid (matrix) containing the values of the filtered pixels. The kernel that is used in the low pass filter is the array containing the numbers having values ones divided by the number of elements of matrix within that kernel.

 

Filtering can be better understood from the convolution kernel.  A kernel is a small grid (matrix) containing the values of the filtered pixels. The kernel that is used in the high pass filter is the array containing a positive value at the center of the matrix while the all other values of the matrix is negative.

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