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Visual features: From Fourier to Gabor
Published on Sep 13, 20157728 Views
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Chapter list
Visual features: From Fourier to Gabor00:00
Hubel and Wiesel, 195900:52
Alexnet01:56
ICA02:36
Sparse coding03:05
Regularized Autoencoder03:21
Uncontractive autoencoder03:31
K-means - 104:21
K-means - 204:34
Translation invariance and locality05:22
Filtering / Convolution 2-d (aka LSI system)08:17
Convolution 1-d (Wikipedia)09:44
Phasors - 109:58
Digression: Complex numbers - 113:22
Digression: Complex numbers - 215:25
Digression: Complex numbers - 317:00
Phasors - 217:35
Phasors are eigenfunctions of convolution17:53
Discrete Fourier Transform (1d)20:30
2d waves - 123:33
2d waves - 227:59
Separability of complex waves28:36
DFT on images29:00
Spectrum example29:56
More amplitude spectra30:12
Torralba, Oliva; 200331:47
PCA and Fourier transform (1d) - 340:19
PCA and Fourier transform (1d) - 440:28
PCA example (first 96 EVs)40:50
PCA and Fourier transform (1d) - 241:38
PCA and Fourier transform (1d) - 141:43
Fourier transform and convolution - 144:05
Fourier transform and convolution - 244:30
DFT leakage48:37
Leakage - 148:47
Leakage - 350:24
Leakage - 250:24
Leakage - 450:24
Leakage - 550:33
Windowing50:34
Leakage with box window - 151:07
Leakage with box window - 251:15
Leakage with Gaussian window - 151:36
Leakage with Gaussian window - 252:26
Leakage with Gaussian window - 352:28
Leakage with Gaussian window - 452:40
Windowing and Short Time Fourier Transform54:27
Gabor feature - 155:40
Gabor feature - 256:30
Gabor feature - 356:33
The uncertainty principle57:29
Frequency channels - 157:32
Frequency channels - 258:20
Frequency channels - 301:00:25
A spectrogram (top) of an utterance01:01:22
Biological complex cells01:02:26
Why PCA yields Fouriers (part II)01:07:10
Circulants01:26:02
Orthogonal transformations01:27:01
Higher layers?01:27:04