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22 March 1999 Image modeling with linear scale-invariant systems
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Abstract
Scaling or dilation is an integral part of the wavelet transform. The wavelet transform possesses certain scale- invariance properties. This paper explores scale invariance further in the construction of linear, 2D, discrete-space, scale-invariant systems. Through a new definition of discrete-space, continuous-parameter dilation operation, deterministic and stochastic self-similarity in images is studied. It is shown that the dilation operation leads to the construction of linear scale-invariant systems for digital images. The paper provides methods for constructing such systems and shows application to the modeling of texture images.
© (1999) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Raghuveer M. Rao and Wei Zhao "Image modeling with linear scale-invariant systems", Proc. SPIE 3723, Wavelet Applications VI, (22 March 1999); https://doi.org/10.1117/12.342951
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