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helmert2D.py
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# -*- coding: utf-8 -*-
"""
helmert2D.py
***************************************************************************
* *
* This program 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; either version 2 of the License, or *
* (at your option) any later version. *
* *
***************************************************************************
"""
__author__ = 'Leandro França'
__date__ = '2019-11-08'
__copyright__ = '(C) 2019, Leandro França'
from PyQt5.QtCore import QCoreApplication, QVariant
from qgis.core import *
import numpy as np
from numpy.linalg import norm, inv, pinv, det
class Helmert2D(QgsProcessingAlgorithm):
INPUT = 'INPUT'
VECTOR = 'VECTOR'
OUTPUT = 'OUTPUT'
HTML = 'HTML'
LOC = QgsApplication.locale()
def translate(self, string):
return QCoreApplication.translate('Processing', string)
def tr(self, *string):
# Traduzir para o portugês: arg[0] - english (translate), arg[1] - português
if self.LOC == 'pt':
if len(string) == 2:
return string[1]
else:
return self.translate(string[0])
else:
return self.translate(string[0])
def createInstance(self):
return Helmert2D()
def name(self):
return 'helmert2D'
def displayName(self):
return self.tr('2D Conformal Transformation', 'Transformação Conforme 2D')
def group(self):
return self.tr('LF Survey', 'LF Agrimensura')
def groupId(self):
return 'lf_survey'
def tags(self):
return self.tr('helmert,2D,georreferencing,tranformation,conformal,register').split(',')
def shortHelpString(self):
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'linkedin': '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', 'RG': 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'tweeter': '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', 'udemy': 'iVBORw0KGgoAAAANSUhEUgAAAB4AAAAdCAYAAAC9pNwMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAMOgAADDoBpJd/BgAAABl0RVh0U29mdHdhcmUAd3d3Lmlua3NjYXBlLm9yZ5vuPBoAAAYHSURBVEiJlZdbTFNbGsd/e/cCFtpgxX0sjHgJoepBJcqMl4gGjoYTb5PRYZxEMmq8cI5Oosw8ODG+iJpMHGN0Hsz4QHwwmRgLHpJjqkDqQZ+QWEWisdEIRZoKtAKFFuxt73nQ3aG05pT/2/rW5fd93/rW2msL/Lo0gO727dtlc+fO/cFoNK41mUzzjEajMR6Py6Ojo4FgMPjR4/E8fv369fULFy70A1EgnsHaaSVarVbj3bt3L/b3948pGSgWiylPnz71nj9//kcgBxBnC9Vfv379QG9vb0bAmZJlWXn06NFATU1NFaDPFDrn5s2b/56ampIVRVGCwaDS2NioNDQ0KG1tbbNy4MOHD7H6+vp/AHNmQjQzoXfu3Gnav39/rVarFQCam5vp6ekhHA7jdrtZs2YNBoMhowhyc3PFLVu2fOf3++c6nc5fgFg6sP7atWv/OnjwYK0gCAD4/X5aWlqQZRkARVEoLS3FbDZnmj20Wq2wcePG375582bM5XI5+VJ06uaLdXV1fzh27NhfRfH/9dDe3k40Gk20BUFAp9N9FdLd3c2VK1e4desWk5OTCbvZbBYaGhr+aTQaf6cyVYqhpqbmWnZ2tqAO7u3t5fnz5zO9Z968eWmhIyMj2Gw2vF4vL168wOFwJPWvXLlSe/z48f8ABhWsPXXq1Mmqqqpv1EHhcBibzZZIsSpJksjNzU0LfvjwIeFwONF2uVwoipI05uTJkyskSfo9oBUB/fr16+vUfVUUhaamJnw+X8riJSUlaaHDw8M4nc4kWzAYTNomAIvFIuzYsePvgF7MysqyVFRUFKqdbW1tdHd3pwVYrda09pm1ACDLckrGAKqqqr4FFmh37979l4KCAlFRFFpbW3E4HCkpAtDr9SxatCjF7vF46OnpSbGnWwOgsrJSB3ynlSTp28nJycR5/dqEoqKitBXd2tpKPJ56LSuKkjZii8UiZGVlWUWz2fwbv9+fBJ1+pFQtXbo0xfbu3TtcLhcA8+fPT5ony3LaIERRZMmSJUtEILeoqIjt27djtVrZtm0bmzdvTpmwePHilIju3buHoigIgsCmTZuS+mOxGJFIJGUOQFZWlln0+/1+gMrKSo4ePUp1dXVKRQuCQEFBQZKts7OTgYEBABYuXMiKFStQT4YKmX6JuN1uLl26xPj4OH19fV7t8PDwwMzoPB5PUttoNJKTk5Noj42Ncf/+/YRTW7duJScnB51Ol7Tfb9++JT8/n66uLux2O9FolIGBAWV8fNyjffz4cWcoFKpVFw6FQoRCoSSwwWBg+jlvbm5ORFNcXMzy5csRBAFJknj//n1int1ux+FwMDU1BYDJZKKvr08B3oo+n8/e3t6eOISRSCSlGqcXSUdHR6KgNBoNO3fuTDhVXl6eNE+W5QRUEASqq6ux2+2fAIcIDLW3t7vUwRqNJmmvAD5+/Mjg4CBOp5MHDx4kHKmoqKCwMHH3sG7dOpYtW8ZMZWdns2fPHsrKyrDb7Z3AkABo9Xr93q6urv+uXr1alGWZc+fOpaR7eqrhc0GdOHECrVabkp1Xr17hdruRZZkFCxZQWlqKwWDg6tWr0fr6+v3ATxpAjsfj/YFA4Pu9e/cWCILA0NAQXq83xXNVeXl5HDlyJKngpjsoSRIlJSVYrVYKCwvR6XSMjo5SW1vbMTExcQH4pD4EYi9fvnxZWFj457Vr1+osFgvPnj1LuX/h8xfq8OHD5Ofnf9WxmZJlmQMHDow9efLkCOAGFBWs8Hmv+8vLy3etWrVKLC4uxuv1MjExgSAImEwmNmzYwL59+8jLy8sYCnD27NlPN27cqAMcTHv+TNcci8VypqWlJaK+FgOBgDIyMqJEo9FZvzZjsZhy5syZSeBvpHnwpcA1Gs2fLl68OBaJRGYNU+Xz+eRdu3YNA3/MBKpKD5SVlpb+3NjYGI7FYhkDg8Ggcvny5U+SJDUDZcziXa1K5PPfQGVZWdnPp0+fnujo6IgHAoEU2ODgoGyz2WKHDh0as1gsTcAWfuVPQvhaxzRpAB1gBNZ9iUISRfGbLzfcIDAMvACeABNk8O/0PwJCxMb99V7LAAAAAElFTkSuQmCC', 'youtube': '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'}
footer = '''<div align="right">
<p align="right"><b>'''+self.tr('Author: Leandro Franca', 'Autor: Leandro França')+'''</b></p>
<div align="right">
<a target="_blank" rel="noopener noreferrer" href="https://www.udemy.com/user/leandro-luiz-silva-de-franca/"><img title="Udemy" src="data:image/png;base64,'''+dic_BW['udemy']+'''"></a> <a target="_blank" rel="noopener noreferrer" href="https://www.facebook.com/GEOCAPT/"><img title="Facebook" src="data:image/png;base64,'''+dic_BW['face']+'''"></a> <a target="_blank" rel="noopener noreferrer" href="https://www.youtube.com/channel/UCLrewDGciytcBG9r0OxTW2w"><img title="Youtube" src="data:image/png;base64,'''+dic_BW['youtube']+'''"></a> <a target="_blank" rel="noopener noreferrer" href="https://www.researchgate.net/profile/Leandro_Franca2"><img title="ResearchGate" src="data:image/png;base64,'''+dic_BW['RG']+'''"></a> <a target="_blank" rel="noopener noreferrer" href="https://github.com/LEOXINGU"><img title="GitHub" src="data:image/png;base64,'''+dic_BW['github']+'''"></a> <a target="_blank" rel="noopener noreferrer" href="https://www.linkedin.com/in/leandro-fran%C3%A7a-93093714b/"><img title="Linkedin" src="data:image/png;base64,'''+dic_BW['linkedin']+'''"></a> <a target="_blank" rel="noopener noreferrer" href="http://lattes.cnpq.br/8559852745183879"><img title="Lattes" src="data:image/png;base64,'''+dic_BW['lattes']+'''"></a>
</div>
</div>'''
return self.tr("""two-dimensional conformal coordinate transformation, also known as the <i>four-parameter similarity transformation or Helmert 2D</i>, has the characteristic that true shape is retained after transformation.
It is typically used in surveying when converting separate surveys into a common reference coordinate system.
This transformation is a three-step process that involves:<o:p></o:p></span></p>
<ul>
<li><span style="" lang="EN-US"><b>Scaling</b>
to create equal dimensions in the two coordinate systems<o:p></o:p></span></li>
<li><span style="" lang="EN-US"><b>Rotation</b>
to make the reference axes of the two systems parallel<o:p></o:p></span></li>
<li><span style="" lang="EN-US"><b>Translations</b>
to create a common origin for the two coordinate systems<o:p></o:p></span></li></ul>
""")+footer
def transformPoint(self, pnt, a, b, c, d):
X, Y = pnt.x(), pnt.y()
Xt = X*a - Y*b + c
Yt = X*b + Y*a + d
return QgsPointXY(Xt, Yt)
def transformGeom(self, geom, a, b, c, d):
if geom.type() == 0: #Point
if geom.isMultipart():
pnts = geom.asMultiPoint()
newPnts = []
for pnt in pnts:
newPnts += [self.transformPoint(pnt, a, b, c, d)]
newGeom = QgsGeometry.fromMultiPointXY(newPnts)
return newGeom
else:
pnt = geom.asPoint()
newPnt = self.transformPoint(pnt, a, b, c, d)
newGeom = QgsGeometry.fromPointXY(newPnt)
return newGeom
elif geom.type() == 1: #Line
if geom.isMultipart():
linhas = geom.asMultiPolyline()
newLines = []
for linha in linhas:
newLine =[]
for pnt in linha:
newLine += [self.transformPoint(pnt, a, b, c, d)]
newLines += [newLine]
newGeom = QgsGeometry.fromMultiPolylineXY(newLines)
return newGeom
else:
linha = geom.asPolyline()
newLine =[]
for pnt in linha:
newLine += [self.transformPoint(pnt, a, b, c, d)]
newGeom = QgsGeometry.fromPolylineXY(newLine)
return newGeom
elif geom.type() == 2: #Polygon
if geom.isMultipart():
poligonos = geom.asMultiPolygon()
newPolygons = []
for pol in poligonos:
newPol = []
for anel in pol:
newAnel = []
for pnt in anel:
newAnel += [self.transformPoint(pnt, a, b, c, d)]
newPol += [newAnel]
newPolygons += [newPol]
newGeom = QgsGeometry.fromMultiPolygonXY(newPolygons)
return newGeom
else:
pol = geom.asPolygon()
newPol = []
for anel in pol:
newAnel = []
for pnt in anel:
newAnel += [self.transformPoint(pnt, a, b, c, d)]
newPol += [newAnel]
newGeom = QgsGeometry.fromPolygonXY(newPol)
return newGeom
else:
return None
def initAlgorithm(self, config=None):
# INPUT
self.addParameter(
QgsProcessingParameterFeatureSource(
self.INPUT,
self.tr('Input Vector Layer'),
[QgsProcessing.TypeVectorAnyGeometry]
)
)
self.addParameter(
QgsProcessingParameterFeatureSource(
self.VECTOR,
self.tr('Two Points Vectors'),
[QgsProcessing.TypeVectorLine]
)
)
# OUTPUT
self.addParameter(
QgsProcessingParameterFeatureSink(
self.OUTPUT,
self.tr('Transformed Layer')
)
)
self.addParameter(
QgsProcessingParameterFileDestination(
'HTML',
self.tr('Adjustment Report'),
self.tr('HTML files (*.html)')
)
)
def processAlgorithm(self, parameters, context, feedback):
entrada = self.parameterAsSource(
parameters,
self.INPUT,
context
)
if entrada is None:
raise QgsProcessingException(self.invalidSourceError(parameters, self.INPUT))
deslc = self.parameterAsSource(
parameters,
self.VECTOR,
context
)
if deslc is None:
raise QgsProcessingException(self.invalidSourceError(parameters, self.VECTOR))
# Validação dos vetores de georreferenciamento
if deslc.featureCount()<3:
raise QgsProcessingException(self.tr('Number of vectors must be greater than two.'))
for feat in deslc.getFeatures():
geom = feat.geometry()
coord = geom.asPolyline()
if len(coord) != 2:
raise QgsProcessingException(self.tr('Vectors must be exactly two points.'))
# OUTPUT
(sink, dest_id) = self.parameterAsSink(
parameters,
self.OUTPUT,
context,
entrada.fields(),
entrada.wkbType(),
entrada.sourceCrs()
)
if sink is None:
raise QgsProcessingException(self.invalidSinkError(parameters, self.OUTPUT))
html_output = self.parameterAsFileOutput(
parameters,
self.HTML,
context
)
# Transformação Conforme
'''
Xt = X*a - Y*b + c
Yt = X*b + Y*a + d
a = S*cos(alfa)
b = S*sin(alfa)
'''
# Lista de Pontos
A = [] # Matriz Design
L = [] # Transformed Coordinate A to B
for feat in deslc.getFeatures():
geom = feat.geometry()
coord = geom.asPolyline()
xa = coord[0].x()
ya = coord[0].y()
xb = coord[1].x()
yb = coord[1].y()
A += [[xa, -ya, 1, 0], [ya, xa, 0, 1]]
L +=[[xb], [yb]]
A = np.matrix(A)
L = np.matrix(L)
M = A.T*A
if det(M):
X = inv(M)*A.T*L
a = X[0,0]
b = X[1,0]
c = X[2,0]
d = X[3,0]
theta = np.degrees(np.arctan2(b, a))
if theta < 0:
theta = 360 + theta
S = a/abs(np.cos(np.radians(theta)))
else:
raise QgsProcessingException(self.tr('Georeferencing vectors should not be aligned.'))
feature = QgsFeature()
total = 100.0 / entrada.featureCount() if entrada.featureCount() else 0
for current, feat in enumerate(entrada.getFeatures()):
geom = feat.geometry()
newgeom = self.transformGeom(geom, a, b, c, d)
feature.setGeometry(newgeom)
feature.setAttributes(feat.attributes())
sink.addFeature(feature, QgsFeatureSink.FastInsert)
if feedback.isCanceled():
break
feedback.setProgress(int(current * total))
texto_ini = '''<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
<html>
<head>
<meta content="text/html; charset=ISO-8859-1"
http-equiv="content-type">
<title></title>
</head>
<body>
<p class="MsoNormal" style="text-align: center;"
align="center"><b><u><span style=""
lang="EN-US">Two Dimensional Conformal Coordinate
Transformation<o:p></o:p></span></u></b></p>
<p class="MsoNormal" style="text-align: center;"
align="center"><i><span style="" lang="EN-US">ax
</span></i><i><span style="" lang="EN-US">-</span></i><i><span
style="" lang="EN-US"> by </span></i><i><span
style="" lang="EN-US">+</span></i><i><span
style="" lang="EN-US"> Tx <span style=""> </span>=
X </span></i><i><span style="" lang="EN-US">+</span></i><i><span
style="" lang="EN-US"> Vx<o:p></o:p></span></i></p>
<p class="MsoNormal" style="text-align: center;"
align="center"><i><span style="" lang="EN-US">bx
</span></i><i><span style="" lang="EN-US">+</span></i><i><span
style="" lang="EN-US"> ay </span></i><i><span
style="">+</span></i><i><span style=""
lang="EN-US"> Ty = Y </span></i><i><span
style="">+</span></i><i><span style=""
lang="EN-US"> Vy<o:p></o:p></span></i></p>
<p class="MsoNormal"><span style="" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: center;"
align="center"><b><span style="" lang="EN-US">Residual
Errors of Control Points<o:p></o:p></span></b></p>
<div align="center">
<table class="MsoTableGrid"
style="border: medium none ; border-collapse: collapse;"
border="0" cellpadding="0" cellspacing="0">
<tbody>
<tr style="">
<td style="padding: 0cm 5.4pt; width: 84.9pt;"
valign="top" width="113">
<p class="MsoNormal"
style="margin-bottom: 0.0001pt; text-align: center; line-height: normal;"
align="center"><i><span style="" lang="EN-US">POINT<o:p></o:p></span></i></p>
</td>
<td style="padding: 0cm 5.4pt; width: 84.95pt;"
valign="top" width="113">
<p class="MsoNormal"
style="margin-bottom: 0.0001pt; text-align: center; line-height: normal;"
align="center"><i><span style="" lang="EN-US">Vx<o:p></o:p></span></i></p>
</td>
<td style="padding: 0cm 5.4pt; width: 84.95pt;"
valign="top" width="113">
<p class="MsoNormal"
style="margin-bottom: 0.0001pt; text-align: center; line-height: normal;"
align="center"><i><span style="" lang="EN-US">Vy<o:p></o:p></span></i></p>
</td>
</tr>'''
tabela = '''
<tr style="">
<td style="padding: 0cm 5.4pt; width: 84.9pt;"
valign="top" width="113">
<p class="MsoNormal"
style="margin-bottom: 0.0001pt; text-align: center; line-height: normal;"
align="center"><span style="" lang="EN-US">[ID]<o:p></o:p></span></p>
</td>
<td style="padding: 0cm 5.4pt; width: 84.95pt;"
valign="top" width="113">
<p class="MsoNormal"
style="margin-bottom: 0.0001pt; text-align: center; line-height: normal;"
align="center"><span style="" lang="EN-US">[Vx]<o:p></o:p></span></p>
</td>
<td style="padding: 0cm 5.4pt; width: 84.95pt;"
valign="top" width="113">
<p class="MsoNormal"
style="margin-bottom: 0.0001pt; text-align: center; line-height: normal;"
align="center"><span style="" lang="EN-US">[Vy]<o:p></o:p></span></p>
</td>
</tr>'''
texto_final ='''
</tbody>
</table>
</div>
<p class="MsoNormal" style="text-align: center;"
align="center"><span style="" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: center;"
align="center"><b><span style="" lang="EN-US">Transformation
Parameters:<o:p></o:p></span></b></p>
<p class="MsoNormal" style="text-align: center;"
align="center"><span style="" lang="EN-US">a
</span><span style="" lang="EN-US">=</span><span
style="" lang="EN-US"> [a]<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: center;"
align="center"><span style="" lang="EN-US">b
</span><span style="" lang="EN-US">= [b]</span><span
style="" lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: center;"
align="center"><span style="" lang="EN-US">Tx
</span><span style="" lang="EN-US">= [c]</span><span
style="" lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: center;"
align="center"><span style="" lang="EN-US">Ty
</span><span style="" lang="EN-US">= [d]</span><span
style="" lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: center;"
align="center"><b><span style="" lang="EN-US">Rotation</span></b><span
style="" lang="EN-US"> =</span><span style=""
lang="EN-US"> [theta]</span><span style=""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: center;"
align="center"><b><span style="" lang="EN-US">Scale</span></b><span
style="" lang="EN-US"> </span><span style=""
lang="EN-US">= [S]</span><span style=""
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: center;"
align="center"><b><span style="" lang="EN-US">Adjustment’s
Reference Variance</span></b><span style=""
lang="EN-US"> <span style=""> </span>=
</span><span style="">[sigma]</span><span
style="" lang="EN-US"><o:p></o:p></span></p>
Leandro França<br>
Cartographic Engineer<br>
<span
style="font-size: 11pt; line-height: 107%; font-family: "Calibri",sans-serif;"><a
href="mailto:[email protected]">[email protected]</a></span><br>
</body>
</html>
'''
texto = texto_ini
# Calculo de Residuos
transf = []
for feat in deslc.getFeatures():
geom = feat.geometry()
coord = geom.asPolyline()
Xt, Yt = self.transformPoint(coord[0], a, b, c, d)
transf += [[Xt],[Yt]]
X, Y = coord[-1].x(), coord[-1].y()
Vx = X - Xt
Vy = Y - Yt
tableRowN = tabela
itens = {'[ID]' : str(feat.id()),
'[Vx]' : '{:.4f}'.format(float(Vx)),
'[Vy]' : '{:.4f}'.format(float(Vy)),
}
for item in itens:
tableRowN = tableRowN.replace(item, itens[item])
texto += tableRowN
# Residuos
V = L - np.matrix(transf)
# Sigma posteriori
n = np.shape(A)[0] # número de observações
u = np.shape(A)[1] # número de parâmetros
sigma2 = V.T*V/(n-u)
# Dados finais
itens = {
'[a]' : str(a),
'[b]': str(b),
'[c]': str(c),
'[d]': str(d),
'[theta]': str(theta),
'[S]': str(S),
'[sigma]': str(sigma2[0,0])
}
for item in itens:
texto_final = texto_final.replace(item, itens[item])
texto += texto_final
# Exportar HTML
arq = open(html_output, 'w')
arq.write(texto)
arq.close()
feedback.pushInfo(self.tr('\nOperation completed successfully!'))
feedback.pushInfo('Leandro França - Eng Cart\n')
return {self.OUTPUT: dest_id,
self.HTML: html_output}