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><head><title>gle</title><link rel="stylesheet" href="style.css" type="text/css"/><meta name="generator" content="DocBook XSL Stylesheets V1.59.1"/><link rel="home" href="index.xml" title="PyOpenGL 2.0.1.07 Man Pages"/><link rel="up" href="reference-GLE.xml" title="GLE"/><link rel="previous" href="reference-GLE.xml" title="GLE"/><link rel="next" href="gleExtrusion.3GLE.xml" title="gleExtrusion"/></head><body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"><div class="navheader"><table width="100%" summary="Navigation header"><tr><th colspan="3" align="center">gle</th></tr><tr><td width="20%" align="left"><a accesskey="p" href="reference-GLE.xml">Prev</a></td><th width="60%" align="center">GLE</th><td width="20%" align="right"><a accesskey="n" href="gleExtrusion.3GLE.xml">Next</a></td></tr></table><hr/></div><div class="refentry" lang="en"><a name="gle.3GLE"/><div class="titlepage"/><div class="refnamediv"><a name="gle.3GLE-name"/><h2>Name</h2><p>gle — an introduction to the GLE Tubing & Extrusions Library</p></div><div class="refsynopsisdiv"><a name="gle.3GLE-synopsis"/><h2>Synopsis</h2><pre class="programlisting">#include <GL/gle.h></pre></div><div class="refsect1" lang="en"><a name="gle.3GLE-description"/><h2>Description</h2><p>
The GLE Tubing and Extrusion Library is a graphics application programming interface (API). The library consists of a
number of "C" language subroutines for drawing tubing and extrusions. The library is distributed in source
code form, in a package that includes documentation, a VRML proposal, Makefiles, and full source code and header files.
It uses the OpenGL (TM) programming API to perform the actual drawing of the tubing and extrusions.
</p><p>
A "sweep" or "extrusion" is a 2D contour (polyline) that is swept or extruded along a 3D path
(polyline). For example, sweeping a circle along a straight line will generate a cylinder. Sweeping a circle along a
circular path will generate a doughnut (torus).
</p><p>
The library also includes a set of utility routines for drawing some of the more common extruded shapes: a
polycylinder, a polycone, a generalized torus (circle swept along a helical path), a "helix" (arbitrary
contour swept along a helical path) and a "lathe" (arbitrary contour swept along a helical path, with torsion
used to keep the contour aligned).
</p><p>
The most general extrusion supported by this library allows an arbitrary 2D contour to be swept around an arbitrary 3D
path. A set of normal vectors can be specified to go along with the contour; the normal vectors determine the
appearance of the contour when lighting is turned on. A set of colors and affine matrices can be specified to go along
with the 3D path. The colors are used to color along the path. The affine matrices are used to operate on the contour
as it is swept along. If no affine matrices are specified, the contour is extruded using the mathematical concept of
"parallel translation" or "Gaussian translation". That is, the contour is moved (and drawn) along
the extrusion path in a "straight" manner. If there are affine matrices, they are applied to the contour at
each extrusion segment before the segment is drawn.
</p><p>
The affine matrices allow work in a quasi-non-Euclidean space. They essentially allow the contour to be distorted as it
is swept along. The allow the contour to be rotated, translated and rescaled as it is drawn. For example, a rescaling
will turn a polycylinder into a poly-cone, since the circle that is being extruded is scaled to a different size at
each extrusion vertex. A rotation allows the contour to be spun around while it is being extruded, thus for instance
allowing drill-bit type shapes to be drawn. A translation allows the appearance of shearing in real space; that is,
taking a contour and displacing it, without otherwise bending it. Note that the affines are 2x3 matrices, not 3x4
matrices, since they apply to the 2D contour as it is being extruded.
</p></div><div class="refsect1" lang="en"><a name="gle.3GLE-web_site"/><h2>Web Site</h2><p>
<a href="http://linas.org/gle/index.html" target="_top">http://linas.org/gle/index.html</a>
</p></div><div class="refsect1" lang="en"><a name="gle.3GLE-see_also"/><h2>See Also</h2><p>
<span class="simplelist"><a href="gleExtrusion.3GLE.xml">gleExtrusion</a>, <a href="gleHelicoid.3GLE.xml">gleHelicoid</a>, <a href="gleLathe.3GLE.xml">gleLathe</a>, <a href="glePolyCone.3GLE.xml">glePolyCone</a>, <a href="glePolyCylinder.3GLE.xml">glePolyCylinder</a>, <a href="gleScrew.3GLE.xml">gleScrew</a>, <a href="gleSetJoinStyle.3GLE.xml">gleSetJoinStyle</a>, <a href="gleSpiral.3GLE.xml">gleSpiral</a>, <a href="gleSuperExtrusion.3GLE.xml">gleSuperExtrusion</a>, <a href="gleTextureMode.3GLE.xml">gleTextureMode</a>, <a href="gleToroid.3GLE.xml">gleToroid</a>, <a href="gleTwistExtrusion.3GLE.xml">gleTwistExtrusion</a>, <a href="gleTwistExtrusion.3GLE.xml">gleTwistExtrusion</a>, <a href="gleSuperExtrusion.3GLE.xml">gleSuperExtrusion</a></span>
</p></div></div><div class="navfooter"><hr/><table width="100%" summary="Navigation footer"><tr><td width="40%" align="left"><a accesskey="p" href="reference-GLE.xml">Prev</a></td><td width="20%" align="center"><a accesskey="u" href="reference-GLE.xml">Up</a></td><td width="40%" align="right"><a accesskey="n" href="gleExtrusion.3GLE.xml">Next</a></td></tr><tr><td width="40%" align="left" valign="top">GLE</td><td width="20%" align="center"><a accesskey="h" href="index.xml">Home</a></td><td width="40%" align="right" valign="top">gleExtrusion</td></tr></table></div></body></html>
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