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A general mathematical theory of rotational panoramic radiography incorporating non-rotational scanographic methods
Authors:Prof. Ulf Welander D.D.S.   Ph.D.  Masaru Shiojima D.D.S.   Ph.D.  Doss McDavid Ph.D.   O.D.h.c.  Gunilla Tronje D.D.S.   Ph.D.
Affiliation:(1) Department of Oral Radiology, University of Umea, Umea, Sweden;(2) Department of Dental Diagnostic Science, University of Texas Health Science Center at San Antonio, San Antonio, Texas, U.S.A.;(3) Department of Oral Radiology, Karolinska Institutet, Stockholm, Sweden;(4) Department of Oral Radiology, Karolinska Institutet, Box 4064 S-141 04, Huddinge, Sweden
Abstract:In the present paper a general and exact theory is presented that is valid for rotational panoramic radiography irrespective of the projection geometry and that incorporates non-rotational scanographic methods. The general theory includes as a special case the conventional approximate theory of the working principle of panoramic radiography. Complete analytical mathematical expressions including no approximations are derived for motion unsharpness and the geometrical properties of the panoramic image. Such exact expressions for motion unsharpness do not appear in the literature previous studies having made extensive use of approximations. This work was performed while Dr. Masaru Shiojima, Department of Oral Radiology, Aichi-Gakuin University, Nagoya, Japan, was a visiting professor at the Department of Oral Radiology, University of Umea, Umea, Sweden Retired June 30, 1990. Director from July 1 Prof. Ulf Welander
Keywords:Rotatiolal panoramic radiography
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