
Advanced Image Filtering Techniques in Mathematical Imaging
Explore examples of high-pass filtering in mathematical imaging, featuring spatial representations and comparisons of ideal and Butterworth filters. Understand the concepts behind high-pass filtering and its applications in image processing.
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Presentation Transcript
MMAT 5390: Mathematical Imaging Lecture 8: Examples of High Pass Filtering Prof. Ronald Lok Ming Lui Department of Mathematics, The Chinese University of Hong Kong
Spatial representation of High Pass Filter Butterworth Gaussian Ideal (Ringing effect is expected)
Ideal High Pass Filter Butterworh D0 = 15 D0 = 30 (Ringing effect is observed)
Butterworth High Pass Filter D0 = 15 D0 = 30
Comparison: High Pass Filter High-pass filtering Low-pass filtering