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Proceedings Paper

Image reconstruction from edges based on a wavelet frame of Gaussian derivatives
Author(s): Chengho Hsin; Yung-Cheng Chen; Shaw-Jyh Shin
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Paper Abstract

Edge detection provides a representation that is used by all later stages of image processing. An edge representation must be perceptually complete. This means that a perceptually accurate estimate of the original image can be reconstructed from its edges. We present an algorithm for image reconstruction from edges using a redundant filter bank derived by a wavelet frame composed of derivatives of Gaussian functions. Edges of an image can be extracted by any edge detection method. The band-pass filtered image from this filter bank contains complete information of the original image. A two-stage scheme of image reconstruction from edges is established. First, the band-pass filtered image is approximated by a set of elementary functions specified by the initial edge parameters. The elementary functions comprise of the first three orders of Gaussian derivatives. Second, the optimally approximated band-pass filtered image plus the average of the image is applied to reconstruct the original image. We adopt a conjugate gradient algorithm for the reconstruction. The major contribution of this paper is to lay down a theory of edge-based image reconstruction scheme.

Paper Details

Date Published: 24 June 2005
PDF: 11 pages
Proc. SPIE 5960, Visual Communications and Image Processing 2005, 59604N (24 June 2005); doi: 10.1117/12.632733
Show Author Affiliations
Chengho Hsin, Feng Chia Univ. (Taiwan)
Yung-Cheng Chen, Feng Chia Univ. (Taiwan)
Shaw-Jyh Shin, Feng Chia Univ. (Taiwan)

Published in SPIE Proceedings Vol. 5960:
Visual Communications and Image Processing 2005
Shipeng Li; Fernando Pereira; Heung-Yeung Shum; Andrew G. Tescher, Editor(s)

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