Mathematics – Logic
Scientific paper
Nov 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999spie.3807..522d&link_type=abstract
Proc. SPIE Vol. 3807, p. 522-533, Advanced Signal Processing Algorithms, Architectures, and Implementations IX, Franklin T. Luk;
Mathematics
Logic
Scientific paper
Scale as a physical quantity is a recently developed concept. The scale transform can be viewed as a special case of the more general Mellin transform and its mathematical properties are very applicable in the analysis and interpretation of the signals subject to scale changes. A number of single-dimensional applications of scale concept have been made in speech analysis, processing of biological signals, machine vibration analysis and other areas. Recently, the scale transform was also applied in multi-dimensional signal processing and used for image filtering and denoising. Discrete implementation of the scale transform can be carried out using logarithmic sampling and the well-known fast Fourier transform. Nevertheless, in the case of the uniformly sampled signals, this implementation involves resampling. An algorithm not involving resampling of the uniformly sampled signals has been derived too. In this paper, a modification of the later algorithm for discrete implementation of the direct scale transform is presented. In addition, similar concept was used to improve a recently introduced discrete implementation of the inverse scale transform. Estimation of the absolute discretization errors showed that the modified algorithms have a desirable property of yielding a smaller region of possible error magnitudes. Experimental results are obtained using artificial signals as well as signals evoked from the temporomandibular joint. In addition, discrete implementations for the separable two-dimensional direct and inverse scale transforms are derived. Experiments with image restoration and scaling through two-dimensional scale domain using the novel implementation of the separable two-dimensional scale transform pair are presented.
Djurdjanovic Dragan
Koh Christopher K.
Williams William J.
No associations
LandOfFree
Discrete implementations of scale transform does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Discrete implementations of scale transform, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discrete implementations of scale transform will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1514199