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Week of / topics
Jan. 5
 Overview and class procedures
 Basic concepts and notation
 Examples of digital images
 Coherent and incoherent images
 Computer representations of images
 Histograms, contrast, and stretching images
Handouts for lectures:
Handout 1 Handout 2 Handout 3Jan. 12
 Coherent and incoherent imaging mechanisms
 Methods of representation
 Functions of two variables
 Projections
 Image simulation
Handouts for lectures:
Handout 6 Handout 7 Handout 8 Handout 10Jan. 19
 Monday  Martin Luther King Day, no class
 Twodimensional impulses
 Shah function and Line impluses
 Ring impulse functions
 Derivatives of impulse functions
Handouts for lectures:
Handout 11 Handout 12 Handout 12 additional notesJan. 26
 The twod Fourier transform
 Analysis vs. synthesis
 Corrugation viewpoint
 Transform pairs
 Theorems for the twod Fourier transform
 FFTs
Handouts for lectures:
Handout 15 Handout 16Feb. 2
 Image spectra
 Digital implementation of the shift theorem
 Convolution in two dimensions
 Cross and autocorrelation
 Central value and volume of autocorrelation
Handouts for lectures:
Handout 17 Handout 18Feb. 9
 Midterm Examination through Lecture 2/3
 The twodimensional convolution theorem
 Point response of a system
 Factorization and separation
 Assignment and Discussion of Final Project
Handouts for lectures:
Handout 20 notes Handout 2Feb. 16
 Monday  President's Day, no class
 Sampling and interpolation
 Sampling functions
 Fourier transform of the sampling function
 Convolutional models
 Seismic imaging beneath the Earth's surface
Handouts for lectures:
Handout 1 Handout 2Feb. 23
 Rotational symmetry
 Bessel functions and the Hankel transform
 Jinc and sinc functions
Handouts for lectures:
Handout 1 Handout 2Mar. 2
 Tomography and medical imaging
 Antennas and radio astronomy
 Aperture synthesis
Handouts for lectures:
Handout 1 Handout 2Mar. 10
 Interferometry
 Generating highresolution pictures of the skies
 Other applications of twodimensional imaging
 Last day of class Mar. 11
Handouts for lectures:
Handout 1 Handout 2Mar. 16
 FINAL PROJECT DUE, NOON, MARCH 16
