l6 - 1 CMPEN/EE485 Lecture 6 Topics today: 1. (G&W Ch....

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1 CMPEN/EE485 Lecture 6 Topics today: 2. (G&W Ch. 4.2; Review 1-D Fourier Transform The Frequency Domain and Image Filtering 1. Continuous 1-D Fourier transform (Ch. 4.2, 4.5; 1992 Ch. 3.1, 3.3) 2. Continuous 2-D Fourier transform 3. Sampling of Continuous-Space Images (Ch. 4.3 - 4.5; 1992 Ch. 3.3.9) a. continuous ( x,y ) -→ discrete sampled ( x,y ) b. infinite extent f ( x,y ) -→ truncated f ( x,y ) 4. Discrete Fourier Transform (DFT) (Ch. 4.4-4.7, 4.11; 1992 Ch. 3.3) a. properties b. circular convolution (filtering) c. Fast Fourier Transform (FFT) algorithm for DFT 5. Filtering (Ch. 4.8, 4.9)
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CMPEN/EE455 – Lect 6 2 Uses of Fourier (Transform) Analysis 1.) Understanding spatial sampling from continuous to discrete (digital) domain 2.) Filter images using linear filters (e.g., lowpass, highpass) 4.) JPEG and MPEG image compression * Most of the semester (parts 2-4 above), we use the DFT.
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l6 - 1 CMPEN/EE485 Lecture 6 Topics today: 1. (G&W Ch....

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