Mathematical Imaging and Signal Processing
Week 1&2 (8.24 & 8.31): Least squares and PCA
Summary, Homework 1 (ImageNet-subset), Linear algebra, Reading2, PCA derivation, PCA2
Video lectures: youtube
Lecture notes: link1, PCA large vectors
Optional reading: Spectral methods for dimensionality reduction (pdf), see miscellaneous
Week 2 (9.7): Discrete Fourier Transform
Slides (summary), Slides2, Homework2 (p1 file), Reading1(sec 2.4.8), Reading2, Reading3
Week 3 (9.14) : Hilbert spaces and Fourier Series
Slides (summary), Slides2, Homework3, Reading1(sec 2.1-2.5), Reading2
Optional reading: pdf
Week 4 (9.21): Fourier transform
Slides (summary), Slides2, Homework4, Reading1(sec 2.1-2.5), Reading2 (chapter 2), Reading3
Lecture notes: link1
Week 5 (9.28): Sampling and reconstruction
Slides (summary), Slides2, Homework5, Reading1(sec 2.1-2.5), Reading2 (chapter 3), Reading3
Lecture notes: link1
Week 6 (10.5): Signal and image interpolation
Slides (summary), Slides2, Homework6, Reading1
Week 7 (10.12): Exam. Sample exam.
--------------------------------------- EXAM 1 --------------------------------------
Week 8 (10.19): Optics and microscopy
Slides1, slides2, reading1, homework7
Week 9 (10.26): Magnetic resonance imaging
Lecture notes: link1
Week 11 (11.2): Radon transform and computerized tomography
Slides, reading1, lecture notes
Lecture notes: link1
Week 12 (11.16): Inverse problems, reading1, reading2
Slides, homework8, hw8p1_noise
Optional reading: linear inverse problems in imaging (pdf)
Lecture: link1
Week 13 (11.16): Sparse representation
Slides (summary), reading1, reading2, homework9
Lecture notes: note1, note2, note3
Week 14 (11.23): Thanksgiving, no class
Week 15 (11.30): Sparse representation, & review
Sample final exam: link