Mathematical tests about the existence and applications of PPS wavelets in function approximation problems

Joao Fernando Marar; Edson C. B. Carvalho Filho; J. Dias dos Santos

doi:10.1117/12.304895

26 March 1998 Mathematical tests about the existence and applications of PPS wavelets in function approximation problems

Joao Fernando Marar, Edson C. B. Carvalho Filho, J. Dias dos Santos

Author Affiliations +

Proceedings Volume 3391, Wavelet Applications V; (1998) https://doi.org/10.1117/12.304895
Event: Aerospace/Defense Sensing and Controls, 1998, Orlando, FL, United States

Abstract

Neural networks and wavelet transform have been recently seen as attractive tools for developing efficient solutions for many real world problems in function approximation. Function approximation is a very important task in environments where computation has to be based on extracting information from data samples in real world processes. So, mathematical model is a very important tool to guarantee the development of the neural network area. In this article we will introduce one series of mathematical demonstrations that guarantee the wavelets properties for the PPS functions. As application, we will show the use of PPS- wavelets in pattern recognition problems of handwritten digit through function approximation techniques.

Citation Download Citation

Joao Fernando Marar, Edson C. B. Carvalho Filho, and J. Dias dos Santos "Mathematical tests about the existence and applications of PPS wavelets in function approximation problems", Proc. SPIE 3391, Wavelet Applications V, (26 March 1998); https://doi.org/10.1117/12.304895

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