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triangulation.py
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triangulation.py
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#! /usr/bin/env python
# -*- coding: utf-8 -*-
from __future__ import division
import sys, random
sys.path.append('../')
from PyQt5.Qt import Qt
from PyQt5 import QtCore, QtGui, QtWidgets
from PyQt5.QtWidgets import QApplication, QWidget
from PyQt5 import QtGui, QtCore
from PyQt5.QtCore import QPoint, QPointF, QLine, QLineF
from PyQt5.QtGui import QColor, QTransform, QPolygonF
from coordWidget import CoordWidget
from scipy.spatial import Delaunay
import matplotlib.pyplot as plt
import numpy as np
class Triangluation(CoordWidget):
def __init__(self):
super(Triangluation, self).__init__()
self.setGeometry(300, 300, 800, 600)
self.setWindowTitle('Triangluation ')
self.vertexs = [] #world pos
self.points = [] # screen pos
self.polygon = None
def mouseMoveEvent(self, e):
newPos = e.pos()
if (self.lastPos - newPos).manhattanLength() < 1:
self.lastPos = newPos
return
if e.buttons() & Qt.RightButton :
translation = self.screenToWorld(newPos) - self.screenToWorld(self.lastPos)
self.scene_translation_ = self.scene_translation_ + translation
elif e.buttons() & Qt.LeftButton:
pass
self.lastPos = e.pos()
self.update()
def mousePressEvent(self, qMousePressEvent):
e = qMousePressEvent
if e.buttons() & Qt.LeftButton :
vertex = self.screenToWorld( e.pos()) # QPointF
self.vertexs.append(vertex)
self.points.append(e.pos())
self.take_screenshot()
self.makeConvexHull(self.vertexs)
self.lastPos = e.pos()
self.update()
def isRightTurn(self, p0, p1, p2):
v1x = p1.x() - p0.x()
v1y = p1.y() - p0.y()
v2x = p2.x() - p1.x()
v2y = p2.y() - p1.y()
if v1x * v2y - v1y * v2x > 0.0:
return False
else:
return True
def makeConvexHull(self, vertexs):
if len(vertexs) < 3:
return
self.vertexs.sort(key=lambda x: x.x())
upper = [self.vertexs[0], self.vertexs[1]]
for v in self.vertexs[2:len(self.vertexs)]:
upper.append(v)
while len(upper) > 2 and self.isRightTurn(upper[-3], upper[-2], upper[-1]):
del upper[-2]
lower = [self.vertexs[-1], self.vertexs[-2]]
for v in reversed( self.vertexs[0:-3]):
lower.append(v)
while len(lower) > 2 and self.isRightTurn(lower[-3], lower[-2], lower[-1]):
del lower[-2]
del lower[0]
upper.extend(lower)
self.polygon = QPolygonF()
for v in upper:
self.polygon.append(v)
def triangulate(self):
vertice = []
for v in self.vertexs:
vertice.append([v.x(), v.y()])
points = np.array(vertice)
self.tri = Delaunay(points)
plt.triplot(points[:, 0], points[:, 1], self.tri.simplices.copy())
plt.plot(points[:, 0], points[:, 1], 'o')
plt.show()
def keyPressEvent(self, keyEvent):
e = keyEvent
if e.key() == Qt.Key_C:
self.makeConvexHull(self.vertexs)
elif e.key() == Qt.Key_S:
self.saveGIF()
elif e.key() == Qt.Key_T:
self.triangulate()
super(Triangluation, self).keyPressEvent(keyEvent)
def drawInWorld(self, qPainter):
pen = qPainter.pen()
pen.setColor(QColor.fromRgb(255, 0, 0))
qPainter.setPen(pen)
# draw convex hull
if None != self.polygon:
qPainter.drawPolyline(self.polygon)
pen.setColor(QColor.fromRgb(0, 0, 255))
qPainter.setPen(pen)
def drawInScreen(self, qPainter):
pen = qPainter.pen()
pen.setWidth(5)
pen.setColor(QColor.fromRgb(0, 0, 0))
qPainter.setPen(pen)
qPainter.resetTransform()
# draw selected points in screen
for v in self.points:
qPainter.drawPoint(v)
def main():
app = QtWidgets.QApplication(sys.argv)
ex = Triangluation()
sys.exit(app.exec_())
if __name__ == '__main__':
main()