GIAN Course on

Theory and Application of Wavelets and Framelets

28 December 2017 - 04 January 2018

Overview of the course

As the major tool for multiscale data analysis, wavelets have a wide scope of applications in mathematics, engineering, physics, sciences, and industries. For example, wavelets have been adopted in JPEG-2000 standard for image compression, and wavelet subdivision algorithms have been used in animation movie industry. Being a multidisciplinary research area, wavelets and framelets are very effective for representing various functions and data. The great success of wavelets and framelets largely lies in their many desired properties such as multiscale structure, sparse representation, efficient approximation schemes, good time-frequency localization, and fast computational algorithms. In comparison to traditional wavelets, framelets have the desired properties of redundancy for robustness and flexibility for adaptive custom design. The current developments on wavelet theory are focusing on framelet aspects and their applications in high-dimensional data analysis. For example, algorithms using framelets currently provide the-state-of-the-art results in image processing, and are popular in geometric modelling processing.  

Objectives of the course

There are three major objectives in this course:

1. Introduce the algorithms and basic theory of wavelets and framelets to students and interested researchers. This will equip the students and researchers the basic knowledge on wavelet theory, teach them how to develop and implement their own fast framelet/wavelet transforms, and introduce them to design their own wavelets and framelets for their own purposes.

2. Bring the students and researchers to the wide scope of applications using wavelets and framelets. There are numerous applications of wavelets and framelets and we mainly concentrate on their applications to signal/image processing and geometric modelling. Throughout the lectures and tutorials, the students and researchers will become familiar with how to concretely use/implement wavelets and framelets to solve some practical problems in applications.

3. Present some most recent developments on wavelets and framelets. This allows the students and researchers to become aware what are the current frontiers of wavelet theory and what are the possible further developments and applications of wavelets and framelets. The students' knowledge about the course content will be raised to the level such that they will be able to use wavelets and framelets for their own applications and research.  

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Registration Fee

  • MSc/M.Phil/B.Tech/M. Tech. Students: Rs. 1,000/-

  • Ph.D. Student/ Post Doctoral: Rs. 2,000/-

  • Faculty Participants: Rs. 2,500/-

  • Government Research Organization Participants: Rs. 3,000/-

  • Industry Participants: Rs. 5,000/-

  • Participants from abroad: $200

(The above fee includes lunch, instructional materials for tutorials and assignments, 24 hours internet facility. The participants will be provided with accommodation on payment basis.)

Registration and Accommodation

We request the participants to first register at the GIAN portal given at the following link and then based on their selection, register at the GIAN portal of IIT Indore. (Alternatively, one can request for participation by sending an email to nirajshukla[at]iiti[dot]ac[dot]in along with a short CV of the applicant. After hearing from the organizers about their selection, they can proceed to register at the GIAN portal of IIT Indore.)


Click here for registration at the GIAN portal.


Click here for registration at the IITI GIAN portal (Please mention NEFT/D.D. Number alongwith the date of transferred amount in the appropriate box.)


Bank Details for Fund Transfer or e-payment:

Name of Account Holder: IIT Indore

Name of Bank: Canara Bank

Branch: IIT Indore, Simrol Campus Branch

Account Number: 1476101027440

Account Type: Saving A/c

Bank IFS Code: CNRB0006223

Accommodation:

The participants may be provided with hostel accommodation, depending on availability, on payment basis.

The outstation participants who require accommodation should send a request to nirajshukla[at]iiti[dot]ac[dot]in with the subject `Request for Accommodation'.

The student participants who requested accommodation should fill up the following application form and send their request to hostel[at]iiti[dot]ac[dot]in (with a cc to nirajshukla[at]iiti[dot]ac[dot]in).

Click here for application form for hostel accommodation.

The Teaching Faculty

Professor Bin Han is a full professor of mathematics at the Department of Mathematical and Statistical Sciences in the University of Alberta, Canada. The research area of Bin Han includes applied harmonic analysis, wavelet analysis and their applications in computer graphics, image/signal processing, and numerical algorithms. Bin Han serves as an editor for four academic SCI journals including Applied and Computational Harmonic Analysis and Journal of Approximation Theory. Bin Han is an author of more than 85 papers in top academic SCI journals and is the author of the book: Framelets and wavelets: algorithms, analysis, and applications. According to SCI citation for recent 10-year work, he is ranked within top 200 in mathematics with several of his papers cited 299, 132 and 118 times. He has been invited to present many invited talks including five plenary talks in major international conferences in the area of wavelets, approximation theory, and applied and computational harmonic analysis. For example, he presented a 1-hour plenary talk in the 13th International Conference on Approximation Theory in March 2010 at San Antonio, USA. He served as the director of the Applied Mathematics Institute at the University of Alberta from 2012 to 2015. He has supervised 5 PhD students, 4 MSc students, and 5 postdoctoral fellows. For more details, visit:  https://sites.ualberta.ca/~bhan/  

The Host Faculty

 

Dr. Niraj K. Shukla is working as an Assistant Professor in Discipline of Mathematics, IIT Indore. His research interest is Wavelet, Frame and Harmonic Analysis. For more details, visit http://iiti.ac.in/people/~nirajshukla/  

Contact Details

Discipline of Mathematics

Indian Institute of Technology Indore

Simrol, Khandwa Road, Indore

Madhya Pradesh, India- 453 552

Tel: +91 732 4306 506; +91 731 2438 947

Email: nirajshukla@iiti.ac.in

Web-page: http://iiti.ac.in/people/~nirajshukla/