Summary

DescriptionAbelTransform.png	English: Geometry of the Abel transform in two dimensions
Date	13 February 2005
Source	Transferred from en.wikipedia to Commons by Maksim. The original description page was here. All following user names refer to en.wikipedia.
Author	en:User:PAR PAR ( en:User_talk:PAR Talk)
Permission (Reusing this file)	Public domainPublic domainfalsefalse I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Other versions	This math image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with {{vector version available|new image name}}. It is recommended to name the SVG file “AbelTransform.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.

Summary

A geometrical interpretation of the Abel transform in two dimensions. An observer (I) looks along a line parallel to the x-axis a distance y above the origin. What the observer sees is the projection (i.e. the integral) of the circularly symmetric function f(r) along the line of sight. The function f(r) is represented in gray in this figure. The observer is assumed to be located infinitely far from the origin so that the limits of integration are ±∞

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• (del) (cur) 06:51, 13 February 2005 . . en:User:PAR PAR ( en:User_talk:PAR Talk) . . 500x500 (23480 bytes) (Geometry of the Abel transform in two dimensions)