Figure 1 Moire patterns and aliasing

Page 2 The Frequency Domain

Page 3 Transform of the square pulse

Figure 2 Approximating the square pulse

Page 4 Square pulse, continued

Figure 3 The sinc function

Page 5 Finishing transforms

Figure 4 Spectrum of an image

Page 6 Convolution and Filtering

Figure 5 filters

Page 7 Convolutions and Spectra of square pulses

Figure 6 Convolving Square pulses

Figure 7 Spectrum of convolved square pulses

Page 8 Sampling and Reconstruction

Figure 8 Sampling

Figure 9 Reconstruction

Page 9 Aliasing

Figure 10 Undersampling

Figure 11 Poor reconstruction