Title :
Comparison of Haar wavelet-based and Poisson-based numerical integration techniques
Author :
Hampton, Peter J. ; Agathoklis, Pan
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Victoria, Victoria, BC, Canada
fDate :
May 30 2010-June 2 2010
Abstract :
This paper shows performance and computation trade-offs of two approaches to 2-D numerical integration. The speed of convergence on a digital photograph is shown for the Jacobi-based Poisson algorithm. The alternate approach shown in this paper is one that solves for the Haar wavelet decomposition directly from gradient measurements. Then the image is obtained from this estimate of the decomposition. Finally, the same Poisson algorithm is performed on this wavelet approach to improve the results. The intended application of these approaches is to determine the image associated with gradient measurements when the image itself is unknown.
Keywords :
Haar transforms; Jacobian matrices; digital photography; gradient methods; image processing; wavelet transforms; 2D numerical integration; Haar wavelet based numerical integration techniques; Haar wavelet decomposition; Jacobi based Poisson algorithm; Poisson based numerical integration techniques; digital photograph; gradient measurement; Application software; Extraterrestrial measurements; Fourier transforms; Image converters; Iterative methods; Jacobian matrices; Least squares approximation; Machine vision; Shape measurement; Signal processing algorithms;
Conference_Titel :
Circuits and Systems (ISCAS), Proceedings of 2010 IEEE International Symposium on
Conference_Location :
Paris
Print_ISBN :
978-1-4244-5308-5
Electronic_ISBN :
978-1-4244-5309-2
DOI :
10.1109/ISCAS.2010.5537457
