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GLULOOKAT(3G)				  OpenGL Manual 			    GLULOOKAT(3G)

       gluLookAt - define a viewing transformation

       void gluLookAt(GLdouble eyeX, GLdouble eyeY, GLdouble eyeZ, GLdouble centerX,
		      GLdouble centerY, GLdouble centerZ, GLdouble upX, GLdouble upY,
		      GLdouble upZ);

       eyeX, eyeY, eyeZ
	   Specifies the position of the eye point.

       centerX, centerY, centerZ
	   Specifies the position of the reference point.

       upX, upY, upZ
	   Specifies the direction of the up vector.

       gluLookAt creates a viewing matrix derived from an eye point, a reference point indicating
       the center of the scene, and an UP vector.

       The matrix maps the reference point to the negative z axis and the eye point to the
       origin. When a typical projection matrix is used, the center of the scene therefore maps
       to the center of the viewport. Similarly, the direction described by the UP vector
       projected onto the viewing plane is mapped to the positive y axis so that it points upward
       in the viewport. The UP vector must not be parallel to the line of sight from the eye
       point to the reference point.


       F = centerX - eyeX centerY - eyeY centerZ - eyeZ

       Let UP be the vector upX upY upZ.

       Then normalize as follows: f = F F

       UP '' = UP UP

       Finally, let s = f x UP '', and u = s x f.

       M is then constructed as follows: M = s	0 s  1 s  2 0 u  0 u  1 u  2 0 - f  0 - f  1 - f
       2 0 0 0 0 1

       and gluLookAt is equivalent to

	   glTranslated(-eyex, -eyey, -eyez);

       gluPerspective(), glFrustum()

       Copyright (C) 1991-2006 Silicon Graphics, Inc. This document is licensed under the SGI
       Free Software B License. For details, see http://oss.sgi.com/projects/FreeB/.


opengl.org				    06/10/2014				    GLULOOKAT(3G)
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