| 1 | /*
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| 2 | * Project: MoleCuilder
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| 3 | * Description: creates and alters molecular systems
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| 4 | * Copyright (C) 2010 University of Bonn. All rights reserved.
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| 5 | * Please see the LICENSE file or "Copyright notice" in builder.cpp for details.
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| 6 | */
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| 7 |
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| 8 | /**
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| 9 | * \file tesselation.dox
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| 10 | *
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| 11 | * Created on: Oct 28, 2011
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| 12 | * Author: heber
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| 13 | */
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| 14 |
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| 15 | /** \page tesselation Tesselation
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| 16 | *
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| 17 | * Tesselation is a first step towards recognizing molecular surfaces.
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| 18 | *
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| 19 | * Within the code it is used for calculating correlation functions with regard
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| 20 | * to such a surface.
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| 21 | *
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| 22 | * \section tesselation-procedure
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| 23 | *
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| 24 | * In the tesselation all atoms act as possible hindrance to a rolling sphere
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| 25 | * that moves in from infinity. Whenever it rests uniquely on three distinct
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| 26 | * points (atoms) a triangle is created. The algorithm continues by pushing the
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| 27 | * sphere over one of the triangle's edges to eventually obtain a closed,
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| 28 | * tesselated surface of the whole molecule.
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| 29 | *
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| 30 | * \note This mesh is different to the usual sense of a molecular surface as
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| 31 | * atoms are directly located on it. Normally, one considers a so-called
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| 32 | * Van-der-Waals sphere around the atoms and tesselates over these.
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| 33 | * \todo However, the mesh can easily be modified and even expanded to match the
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| 34 | * other (although the code for that is not yet fully implemented).
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| 35 | *
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| 36 | * \section tesselation-extension
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| 37 | *
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| 38 | * The main problem for extending the mesh to match with the normal sense is
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| 39 | * that triangles may suddenly intersect others when we have the case of a non-
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| 40 | * convex mesh (which is rather the normal case). And this has to be
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| 41 | * specifically treated. Also, it is not sure whether the procedure of
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| 42 | * expanding our current surface is optimal and one should not start on a
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| 43 | * different set of nodes created from virtual points resting on the
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| 44 | * van-der-Waals spheres.
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| 45 | *
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| 46 | * Note that it is possible to select a number of atoms and create a bounding box
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| 47 | * from a combination of spheres with van der Waals radii.
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| 48 | *
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| 49 | * \date 2014-03-10
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| 50 | *
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| 51 | */
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