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DA-IICT<br />

1. Course Title Image Representation and Analysis<br />

2. Credit Structure Lecture hours per week: 3<br />

3. Course Code IT530<br />

Tutorial hours per week: 0<br />

Practical hours per week: 0<br />

Total Credits: 3<br />

4. Program/Semester M Tech Semester III<br />

5. Category Core / Group core / Technical Elective / Open Elective / Science Elective<br />

6. Prerequisite<br />

courses<br />

7. Foundation for<br />

Technical Elective<br />

Pattern Recognition, Digital Image Processing<br />

8. Abstract Content This course will cover methods for representation of images motivated by<br />

statistical properties of natural images and the applications of these<br />

representations in solving problems in image analysis including noise removal,<br />

deblurring, inpainting, compression and classification. The course will also<br />

cover some topics in compressive sensing and a discussion of some practical<br />

compressive imaging systems.<br />

Suggested Text<br />

book(s)<br />

Optional<br />

Papers related to the topics being discussed (available online) will be the<br />

primary resource for students. Suggested textbooks include:<br />

Independent Components Analysis, Hyvarinen, Karhunen and Oja,<br />

Wiley Series<br />

Compressive Sensing: Theory and Applications, Eldar and Kutyniok,<br />

Cambridge


Detailed Course Contents<br />

Topic Name Content (2 -3 lines per 4 – 6 lectures) No. of<br />

lectures<br />

(tentati<br />

ve)<br />

Statistics of natural<br />

images<br />

Statistics of image Fourier or wavelet coefficients, relationship<br />

between Fourier bases and principal components of natural images<br />

Readings:<br />

(i) Huang and Mumford, “Statistics of Natural Images and Models”<br />

(ii) Hyvarinen et al, “Independent Components Analysis” (book)<br />

Sparse coding Sparse coding of images with applications to image denoising<br />

Readings:<br />

(i) Hyvarinen et al, “Image Denoising by Sparse Code Shrinkage”<br />

(ii) Rajashekhar and Simoncelli, “Multiscale denoising of<br />

photographic images”<br />

Dictionary learning Dictionary learning for efficient image representation: applications<br />

in compression, deblurring, inpainting and classification<br />

Readings:<br />

(i) Lewicki and Sejnowski, “Learning Overcomplete<br />

Representations”<br />

(ii) Aharon et al, “KSVD-An Algorithm for Designing of<br />

Overcomplete Dictionaries for Sparse Representation”<br />

(iii) Mairal et al, “Discriminative Sparse Image Models for Class-<br />

Specific Edge Detection and Image Interpretation”<br />

Compressive Sensing Overview of basic set of results, proof of one key result, examples<br />

of practical compressive imaging systems: Rice single-pixel<br />

camera, and time-domain coded multiplexing for compressive<br />

video<br />

Non-local selfsimilarity<br />

of images<br />

Non-local means, collective processing of image patches (spatially<br />

varying PCA, simultaneous sparse coding)<br />

3<br />

4<br />

5<br />

7<br />

3

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