📄 kriging_ordinary_global.cpp
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///////////////////////////////////////////////////////////
// //
// SAGA //
// //
// System for Automated Geoscientific Analyses //
// //
// Module Library: //
// Geostatistics_Kriging //
// //
//-------------------------------------------------------//
// //
// Kriging_Ordinary_Global.cpp //
// //
// Copyright (C) 2003 by //
// Olaf Conrad //
// //
//-------------------------------------------------------//
// //
// This file is part of 'SAGA - System for Automated //
// Geoscientific Analyses'. SAGA is free software; you //
// can redistribute it and/or modify it under the terms //
// of the GNU General Public License as published by the //
// Free Software Foundation; version 2 of the License. //
// //
// SAGA is distributed in the hope that it will be //
// useful, but WITHOUT ANY WARRANTY; without even the //
// implied warranty of MERCHANTABILITY or FITNESS FOR A //
// PARTICULAR PURPOSE. See the GNU General Public //
// License for more details. //
// //
// You should have received a copy of the GNU General //
// Public License along with this program; if not, //
// write to the Free Software Foundation, Inc., //
// 59 Temple Place - Suite 330, Boston, MA 02111-1307, //
// USA. //
// //
//-------------------------------------------------------//
// //
// e-mail: oconrad@saga-gis.org //
// //
// contact: Olaf Conrad //
// Institute of Geography //
// University of Goettingen //
// Goldschmidtstr. 5 //
// 37077 Goettingen //
// Germany //
// //
///////////////////////////////////////////////////////////
//---------------------------------------------------------
///////////////////////////////////////////////////////////
// //
// //
// //
///////////////////////////////////////////////////////////
//---------------------------------------------------------
#include "Kriging_Ordinary_Global.h"
///////////////////////////////////////////////////////////
// //
// //
// //
///////////////////////////////////////////////////////////
//---------------------------------------------------------
CKriging_Ordinary_Global::CKriging_Ordinary_Global(void)
: CKriging_Base()
{
Set_Name (_TL("Ordinary Kriging (Global)"));
Set_Author (_TL("Copyrights (c) 2003 by Olaf Conrad"));
Set_Description (_TW(
"Ordinary Kriging for grid interpolation from irregular sample points. "
"This implementation does not use a maximum search radius. The weighting "
"matrix is generated once globally for all points."
));
}
//---------------------------------------------------------
CKriging_Ordinary_Global::~CKriging_Ordinary_Global(void)
{}
///////////////////////////////////////////////////////////
// //
// //
// //
///////////////////////////////////////////////////////////
//---------------------------------------------------------
bool CKriging_Ordinary_Global::On_Initialise(void)
{
return( Get_Weights() );
}
///////////////////////////////////////////////////////////
// //
// //
// //
///////////////////////////////////////////////////////////
//---------------------------------------------------------
bool CKriging_Ordinary_Global::Get_Value(double x, double y, double &z, double &v)
{
int i, j, n;
double Lambda;
//-----------------------------------------------------
if( (n = m_Points.Get_Count()) > 0 )
{
for(i=0; i<n; i++)
{
if( !m_bBlock )
{
m_G[i] = Get_Weight(x - m_Points[i].x, y - m_Points[i].y);
}
else
{
m_G[i] = ( Get_Weight((x ) - m_Points[i].x, (y ) - m_Points[i].y)
+ Get_Weight((x + m_Block) - m_Points[i].x, (y + m_Block) - m_Points[i].y)
+ Get_Weight((x + m_Block) - m_Points[i].x, (y - m_Block) - m_Points[i].y)
+ Get_Weight((x - m_Block) - m_Points[i].x, (y + m_Block) - m_Points[i].y)
+ Get_Weight((x - m_Block) - m_Points[i].x, (y - m_Block) - m_Points[i].y) ) / 5.0;
}
}
m_G[n] = 1.0;
//-------------------------------------------------
for(i=0, z=0.0, v=0.0; i<n; i++)
{
for(j=0, Lambda=0.0; j<=n; j++)
{
Lambda += m_W[i][j] * m_G[j];
}
z += Lambda * m_Points[i].z;
v += Lambda * m_G[i];
}
//-------------------------------------------------
return( true );
}
return( false );
}
///////////////////////////////////////////////////////////
// //
// //
// //
///////////////////////////////////////////////////////////
//---------------------------------------------------------
bool CKriging_Ordinary_Global::Get_Weights(void)
{
int i, j, n;
//-----------------------------------------------------
for(int iShape=0; iShape<m_pShapes->Get_Count(); iShape++)
{
CSG_Shape *pShape = m_pShapes->Get_Shape(iShape);
for(int iPart=0; iPart<pShape->Get_Part_Count(); iPart++)
{
for(int iPoint=0; iPoint<pShape->Get_Point_Count(iPart); iPoint++)
{
m_Points.Add(
pShape->Get_Point(iPoint, iPart).x,
pShape->Get_Point(iPoint, iPart).y,
pShape->Get_Record()->asDouble(m_zField)
);
}
}
}
//-----------------------------------------------------
if( (n = m_Points.Get_Count()) > 4 )
{
m_G .Create(n + 1);
m_W .Create(n + 1, n + 1);
for(i=0; i<n; i++)
{
m_W[i][i] = 0.0; // diagonal...
m_W[i][n] = m_W[n][i] = 1.0; // edge...
for(j=i+1; j<n; j++)
{
m_W[i][j] = m_W[j][i] = Get_Weight(
m_Points[i].x - m_Points[j].x,
m_Points[i].y - m_Points[j].y
);
}
}
m_W[n][n] = 0.0;
return( m_W.Set_Inverse(false) );
}
return( false );
}
///////////////////////////////////////////////////////////
// //
// //
// //
///////////////////////////////////////////////////////////
//---------------------------------------------------------
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