Data Compression

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Theoretical Computer Science

Synopsis:

Students are introduced to the basic principles of data compression. They will learn the necessary theoretical background and get an overview of data compression methods being used in practice. The overview covers principles of integer coding and of statistical, dictionary, and context data compression methods. In addition, students learn the fundamentals of lossy data compression methods used in image, audio, and video compression.

Requirements:

Knowledge of basic data structures, fundamentals of computer programming, and theory of finite automata.

Syllabus of lectures:

1. Introduction, entropy, models, elementary methods.

2. Coding of integers.

3. [2] Statistical methods: Shannon-Fano coding, Huffman coding, arithmetic coding.

4. [2] Dictionary methods: LZ77, LZ78, LZW.

5. [3] Context methods: PPM, DCA, ACB.

6. Burrows-Wheeler compression.

7. Pattern matching in a compressed text.

8. Word-based compression.

9. Introduction to lossy compression (image, audio, video).

Syllabus of tutorials:

1. Entropy, models, elementary methods.

2. Coding of integers.

3. Statistical methods, Shannon-Fano coding, Huffman coding.

4. Statistical methods, Arithmetic coding.

5. Dictionary methods, LZ77, LZ78.

6. Dictionary methods, LZW.

7. Context methods, PPM.

8. Context methods, DCA.

9. Context methods, ACB.

10. Burrows-Wheeler compression.

11. Pattern matching in compressed text.

12. Word-based compression.

13. Introduction to lossy compression I (image, audio, video).

Study Objective:

The course deals with elementary techniques of data compression. The introduction with theoretical background is followed by presentation of methods for coding integers and statistical, dictionary, and context data compression methods. The module ends with an introduction to lossy data compression used in image, audio, and video compression.

Study materials:

1. Salomon, D., Motta, G., Bryant, D. ''Data Compression: The Complete Reference''. Springer, 2006. ISBN 1846286026.

Note:

Further information:

https://courses.fit.cvut.cz/MI-KOD/

No time-table has been prepared for this course

The course is a part of the following study plans:

• Master specialization Computer Security, in Czech, 2020 (elective course)
• Master specialization Design and Programming of Embedded Systems, in Czech, 2020 (elective course)
• Master specialization Computer Systems and Networks, in Czech, 202 (elective course)
• Master specialization Management Informatics, in Czech, 2020 (elective course)
• Master specialization Software Engineering, in Czech, 2020 (elective course)
• Master specialization System Programming, in Czech, version from 2020 (elective course)
• Master specialization Web Engineering, in Czech, 2020 (elective course)
• Master specialization Knowledge Engineering, in Czech, 2020 (elective course)
• Master specialization Computer Science, in Czech, 2020 (PS)
• Mgr. programme, for the phase of study without specialisation, ver. for 2020 and higher (VO)
• Master Specialization Digital Business Engineering, 2023 (VO)
• Master specialization System Programming, in Czech, version from 2023 (elective course)
• Master specialization Computer Science, in Czech, 2023 (PS)