Centrum Voor Wiskunde En Informatica the Wavelet X-ray Transform
نویسنده
چکیده
Combined use of the X-ray (Radon) transform and the wavelet transform has proved to be useful in application areas such as diagnostic medicine and seismology. In the present paper, the wavelet X-ray transform is introduced. This transform performs one-dimensional wavelet transforms along lines in R n , which are param-eterized in the same fashion as for the X-ray transform. It is shown that the transform has the same convenient inversion properties as the wavelet transform. The reconstruction formula receives further attention in order to obtain usable discretizations of the transform. Finally, a connection between the wavelet X-ray transform and the ltered backprojection formula is discussed. Note: Work carried out under project PNA 4.2 \Wavelets" and supported nancially by the Technology Foundation (STW), project no. CWI44.3403.
منابع مشابه
Computational Steering
Robert van Liere Centrum voor Wiskunde en Informatica P.O. Box 94079, 1090 GB Amsterdam The Netherlands E-mail: [email protected] Jurriaan D. Mulder Centrum voor Wiskunde en Informatica P.O. Box 94079, 1090 GB Amsterdam The Netherlands E-mail: [email protected] Jarke J. van Wijk Netherlands Energy Research Foundation ECN P.O. Box 1, 1755 ZG Petten The Netherlands Centrum voor Wiskunde en Informatica P...
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1 Laboratoire A2X, Université Bordeaux I, 351, cours de la Libération, 33405 Talence, France [email protected] 2 CWI and Department of Mathematics, Leiden University; Centrum voor Wiskunde en Informatica (CWI), Sciencepark 123, 1098 XG Amsterdam, The Netherlands [email protected] 3 CWI and Department of Mathematics, University of Amsterdam; Centrum voor Wiskunde en Informatica (C...
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