Boots – shoes – and leggings
Patent
1991-04-05
1993-11-16
Cosimano, Edward R.
Boots, shoes, and leggings
324 7612, 364481, G06F 1520
Patent
active
052629589
ABSTRACT:
A processor (10) is disclosed which uses a B-spline interpolator (14) to produce a plurality of zero-level spline coefficients c.sup.0 (n). This set of coefficients may be fed to a B-spline generator (16) to produce an approximation of the input signal, and/or may be multiplied by a set of coefficients Bn to produce a set of first-level wavelet coefficients d.sup.-1 (n). The zero-level spline coefficients are also used to create first-level spline coefficients c.sup.-1 (n). The first-level spline and wavelet coefficient c.sup.-1 (n) and d.sup.-1 (n) may be submitted to a respective B-spline generator (22) or B-wavelet generator (24) to produce a first-level spline signal components and a first-level wavelet signal component for extraction of data from the original signal. The signal may in a similar fashion be decomposed to any level of resolution desired. The signal components may then be processed, and an improved signal then reassembled from the last-level spline and the processed wavelet signals. Novel spline and wavelet generators are also disclosed.
REFERENCES:
Grossman et al: "Reading and Understanding Continous Wavelet Transforms": Ph. TehamiTchian (Eds) 2nd Edition Springer Verlag pp. 2-20.
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Stromberg, J. O., "A Modified Franklin System and Higher-Order Spline Systems of R.sup.n As Unconditional Bases For Hardy Spaces," in Conference in Harmonic Analysis in honor of Antoni Zygmund, vol. II, W. Beckner, et al. (ed).), Wadsworth Math Series, 1983, 475-493.
Lemarie, P. G., "Ondelettes a Localisation Exponentielle," Journal de Math. Pures et Appl. 67 (1988), 227-236.
Battle, G., "A Block Spin Construction of Ondelettes Part I: Lemarie Functions," Comm. Math Phys. 110 (1987), 601-615.
Mallat, S., "Multiresolutional Representations and Wavelets," Ph.D. thesis, Univ. of Pennsylvania, Philadelphia, 1988, attached herein in its new published version A Theory for Multiresolutional Signal Decomposition: The Wavelet Representation.
Vetterli, M., and Herley, C., "Wavelets and Filter Banks: Theory and Design", Report CU/CTR/TR 206/90/36, Center for Telecommunication Research, Department of Electrical Engineering, Columbia University, New York, N.Y. (1990).
Chan Andrew K.
Chui Charles K.
Cosimano Edward R.
Donaldson Richard L.
Hiller William E.
Honeycutt Gary C.
Texas Instruments Incorporated
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