Plenary Lecture
Atomic Functions: Principles and Applications
Professor Hector Perez-Meana
Professor Hector Perez-Meana
National Polytechnic Institute of Mexico
Mexico
E-mail: hmpm@prodigy.net.mx
Abstract: Smoothing window functions have been a very important tool in many signal processing applications since the middle on 70’s years, in applications in which signals under analysis must be segmented reducing at the same time the sidelobes of the spectral density of the signal under analysis. Thus in digital filter design, speech and audio coding, speech recognition and spectrum estimation have been widely used the Hamming, Hannning, Blackman and Kaiser window functions, while in image analysis, optical flow and face recognition the Gaussian functions etc. Other important set of smoothing functions, that provide a higher attenuation of sidelobes, is the Atomic functions that were firstly analyzed in detail in the book by V.L. Rvachev and V.A. Rvachev in 1971, and used in the solution of several problems reported in important books and papers. This speech presents a review of Atomic Functions (AF) which is compactly supported infinitely differentiable solution of differential equations. The main properties of AF are analyzed together with some of the most successfully applications such as: digital filter design, image filtering, radar signal processing, optical flow estimation and invariant feature extraction, etc.
Brief biography of the speaker: Hector Perez-Meana received his M.S: Degree on Electrical Engineering from the Electro-Communications University of Tokyo Japan in 1986 and his Ph. D. degree in Electrical Engineering from the Tokyo Institute of Technology, Tokyo, Japan, in 1989. From March 1989 to September 1991, he was a visiting researcher at Fujitsu Laboratories Ltd, Kawasaki, Japan. From September 1991 to February 1997 he was with the Electrical Engineering Department of the Metropolitan University of Mexico City where he was a Professor. In February 1997, he joined the Graduate Studies and Research Section of The Mechanical and Electrical Engineering School, Culhuacan Campus, of the National Polytechnic Institute of Mexico, where he is now The Dean. In 1991 he received the IEICE excellent Paper Award, and in 2000 the IPN Research Award and the IPN Research Diploma. In 1998 he was Co-Chair of the ISITA’98, and in 2009 he was General Chair of The IEEE Midwest Symposium on Circuit and Systems (MWSCAS). Prof. Perez-Meana has published more that 100 papers and two books. He also has directed 17 PhD theses and more than 35 Master theses. He is a Senior member of the IEEE, member of The IEICE, The Mexican Researcher System and The Mexican Academy of Science. His principal research interests are adaptive systems, image processing, pattern recognition watermarking and related fields.