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Week of / topics
Jan. 8
- 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
Jan. 15
- Coherent and incoherent imaging mechanisms
- Methods of representation
- Functions of two variables
- Projections
- Image simulation
Jan. 22
- Two-dimensional impulses
- Shah function and Line impluses
- Ring impulse functions
- Derivatives of impulse functions
Jan. 29
- The two-d Fourier transform
- Analysis vs. synthesis
- Corrugation viewpoint
- Transform pairs
- Theorems for the two-d Fourier transform
- FFTs
Feb. 5
- Image spectra
- Digital implementation of the shift theorem
- Convolution in two dimensions
- Cross- and autocorrelation
- Central value and volume of autocorrelation
Feb. 12
- Midterm Examination through Lecture 2/7
- The two-dimensional convolution theorem
- Point response of a system
- Factorization and separation
- Assignment and Discussion of Final Project
Feb. 19
- Sampling and interpolation
- Sampling functions
- Fourier transform of the sampling function
- Convolutional models
- Seismic imaging beneath the Earth's surface
Feb. 26
- Rotational symmetry
- Bessel functions and the Hankel transform
- Jinc and sinc functions
Mar. 4
- Tomography and medical imaging
- Antennas and radio astronomy
- Aperture synthesis
Mar. 11
- Interferometry
- Generating high-resolution pictures of the skies
- Other applications of two-dimensional imaging
- Last day of class Mar. 13
Mar. 17
- FINAL PROJECT DUE, NOON, MARCH 17
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