DIP Lecture 9: Unitary image transforms

ECSE-4540 Intro to Digital Image Processing Rich Radke, Rensselaer Polytechnic Institute Lecture 9: Unitary image transforms (3/2/15) 0:00:04 General image transforms 0:00:28 Motivation: change of basis 0:02:26 Unitary transforms 0:05:55 Change of basis as a linear transform 0:09:23 2D FT as matrix multiplication 0:11:35 The spatial basis 0:13:04 The Fourier basis 0:14:53 Matlab example of projections onto spatial vs. Fourier bases 0:21:25 Unitary transforms preserve energy 0:23:13 2D FT: pros and cons 0:29:07 The Discrete Cosine Transform (DCT) 0:34:07 Preview of JPEG 0:36:36 The Discrete Sine Transform 0:38:14 The Hadamard Transform 0:43:14 The Haar Transform 0:46:24 Wavelet transforms