convertHcToLamFromDec

PURPOSE ^

convert hC-vectors to lambda-vectors

SYNOPSIS ^

function lamMatrix = convertHcToLamFromDec(hcMatrix, dec)

DESCRIPTION ^

 convert hC-vectors to lambda-vectors 

 Syntax: lamMatrix = convertHcToLamFromDec(hcMatrix, dec)

 The hC-vectors in the columns of hcMatrix are converted to the scalar
   coefficients of a minkowski sum of the structuring elements such that
   lamMatrix has dec.nS rows and the same number of columns like hcMatrix.

 See also: obtainDec

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 function lamMatrix = convertHcToLamFromDec(hcMatrix, dec)
0002 % convert hC-vectors to lambda-vectors
0003 %
0004 % Syntax: lamMatrix = convertHcToLamFromDec(hcMatrix, dec)
0005 %
0006 % The hC-vectors in the columns of hcMatrix are converted to the scalar
0007 %   coefficients of a minkowski sum of the structuring elements such that
0008 %   lamMatrix has dec.nS rows and the same number of columns like hcMatrix.
0009 %
0010 % See also: obtainDec
0011 
0012 % The elk-library: convex geometry applied to crystallization modeling.
0013 %   Copyright (C) 2013 Alexander Reinhold
0014 %
0015 % This program is free software: you can redistribute it and/or modify it
0016 %   under the terms of the GNU General Public License as published by the
0017 %   Free Software Foundation, either version 3 of the License, or (at your
0018 %   option) any later version.
0019 %
0020 % This program is distributed in the hope that it will be useful, but
0021 %   WITHOUT ANY WARRANTY; without even the implied warranty of
0022 %   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
0023 %   General Public License for more details.
0024 %
0025 % You should have received a copy of the GNU General Public License along
0026 %   with this program.  If not, see <http://www.gnu.org/licenses/>.
0027 
0028 zerotol = elkZerotol;
0029 
0030 %! Dev: Invalid vectors are not yet covered!
0031 %/
0032 
0033 lamMatrix = zeros(size(dec.se, 1), size(hcMatrix, 2));
0034 for iSimplex = 1:length(dec.simplexPartition)
0035     thisFilterMatrix = dec.simplexPartition{iSimplex}.A*hcMatrix;
0036     thisFilterVector = sum(thisFilterMatrix < zerotol, 1) == dec.nC;
0037     
0038     lamMatrix(dec.simplexPartition{iSimplex}.seIndexVector, ...
0039               thisFilterVector) = ...
0040         dec.simplexPartition{iSimplex}.mappingHcToLam * ...
0041         hcMatrix(:, thisFilterVector);
0042 end

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