The Poisson equation for image texture modelling

Authors:
Huawu Deng;Kap Luk Chan;Jun Liu
Affiliations:
School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, BLKs 1-b4-12, Singapore 639798, Singapore and Department of Systems Design Engineering, Universit ...;School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, BLKs 1-b4-12, Singapore 639798, Singapore;School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, BLKs 1-b4-12, Singapore 639798, Singapore and Perceptics Corp.
Venue:
Pattern Recognition Letters
Year:
2003

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Abstract

The Poisson equation is a class of partial differential equations which describe a steady-state temperature distribution in a bounded object. This paper applies this equation to the modelling of image textures by constructing specific heat source functions and boundary conditions. The heat source function can be considered as an image transform function such that a set of texture features at different frequencies and orientations can be extracted from the transformed image, in conjunction with using a Gabor wavelet filer bank. Better performance of image texture retrieval by these features is achieved than using the features extracted directly from the original image texture.