Goals of the project

The goal of this project is to explore mathematical properties of a particularly novel concept, shiftability, and provide new results which can be further developed or applied. Shiftability is a concept which needs research to move from compactly supported and orthogonal bases to frames, which are similar to unconditional bases, but functions that span the space (i.e. frame functions) do not need to be linearly independent. This research field has been found important in many applications utilizing multiresolution analysis (MRA) methods, such as in pattern recognition, and thus, strong knowledge on frames may improve these methods and applications. Research is performed in a close co-operation between Laboratory of Applied Mathematics and Laboratory of Information Processing in Deparment of Computer Science in Lappeenranta University of Technology.

News

Research group has reported its preliminary results in a scientific conference.

Documentation

Do not hesitate to contact authors (e-mail, etc.) in order to retrieve copies or reprints of the following publications. Articles in international scientific journals with referee practice Jouni Sampo, Joni-Kristian Kämäräinen, Matti Heiliö, Heikki Kälviäinen, Computers & Mathematics with Applications, Measuring Translation Shiftability of Frames, (2006) pp. 1089-1098, No. 6 Vol. 52 Articles in international compilation works and in international scientific conference proceedings with referee practice Jouni Sampo, Joni-Kristian Kämäräinen, Matti Heiliö, Heikki Kälviäinen, Proceedings of the 6th Nordic Signal Processing Symbosium (NORSIG 2004), Measuring Shiftability of Frames of Regular Translates, (2004) pp. 89-92,

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Links to other resources

Research groups The Numerical Harmonic Analysis Research Group Harmonic Analysis and Statistics for Signal and Image Processing Researchers in the field Prof. H.G. Feichtinger Prof. A.J.E.M. Janssen Prof. Eero Simoncelli

Contact information

Lappeenranta University of Technology Jouni Sampo E-mail WWW Post-graduate researcher Joni Kämäräinen E-mail WWW Project leader, lecturer Matti Heiliö E-mail WWW Professor of applied mathematics Heikki Kälviäinen E-mail WWW Professor of information technology