A general mathematical theory of rotational panoramic radiography incorporating non-rotational scanographic methods

Ulf Welander; Masaru Shiojima; Doss McDavid; Gunilla Tronje

doi:10.1007/BF02352577

A general mathematical theory of rotational panoramic radiography incorporating non-rotational scanographic methods

Ulf Welander, Masaru Shiojima, Doss McDavid, Gunilla Tronje

Comprehensive Dentistry

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10 Scopus citations

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.

Original language	English (US)
Pages (from-to)	9-28
Number of pages	20
Journal	Oral Radiology
Volume	6
Issue number	2
DOIs	https://doi.org/10.1007/BF02352577
State	Published - Dec 1 1990

Keywords

Rotatiolal panoramic radiography

ASJC Scopus subject areas

Dentistry (miscellaneous)
Radiology Nuclear Medicine and imaging

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Y1 - 1990/12/1

N2 - 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.

AB - 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.

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A general mathematical theory of rotational panoramic radiography incorporating non-rotational scanographic methods

Abstract

Keywords

ASJC Scopus subject areas

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