Sematkan grafik Matplotlib di Kerangka PyQt [duplikat]

Saya baru mengenal tumpukan overflow. Ini adalah posting kedua saya, jadi mohon koreksi saya jika saya salah. Akan lebih tepat dan menjelaskan masalah saya. Saya mencoba menyematkan grafik ke dalam Qt Framework tetapi saya hanya dapat menampilkannya satu per satu di jendela terpisah.

KODE UI:(dt.py)

try:
    _fromUtf8 = QtCore.QString.fromUtf8
except AttributeError:
    def _fromUtf8(s):
        return s
try:
    _encoding = QtGui.QApplication.UnicodeUTF8
    def _translate(context, text, disambig):
        return QtGui.QApplication.translate(context, text, disambig, _encoding)
except AttributeError:
    def _translate(context, text, disambig):
        return QtGui.QApplication.translate(context, text, disambig)

class Ui_MainWindow(object):
    def setupUi(self, MainWindow):
        MainWindow.setObjectName(_fromUtf8("MainWindow"))
        MainWindow.resize(431, 199)
        self.centralwidget = QtGui.QWidget(MainWindow)
        self.centralwidget.setObjectName(_fromUtf8("centralwidget"))
        self.label = QtGui.QLabel(self.centralwidget)
        self.label.setGeometry(QtCore.QRect(20, 20, 71, 20))
        self.label.setObjectName(_fromUtf8("label"))
        self.X1 = QtGui.QLineEdit(self.centralwidget)
        self.X1.setGeometry(QtCore.QRect(20, 50, 71, 22))
        self.X1.setObjectName(_fromUtf8("X1"))
        self.label_3 = QtGui.QLabel(self.centralwidget)
        self.label_3.setGeometry(QtCore.QRect(350, 20, 46, 20))
        self.label_3.setObjectName(_fromUtf8("label_3"))
        self.Y1 = QtGui.QLineEdit(self.centralwidget)
        self.Y1.setGeometry(QtCore.QRect(180, 50, 71, 22))
        self.Y1.setObjectName(_fromUtf8("Y1"))
        self.Generate = QtGui.QPushButton(self.centralwidget)
        self.Generate.setGeometry(QtCore.QRect(160, 110, 101, 31))
        self.Generate.setObjectName(_fromUtf8("Generate"))
        self.label_2 = QtGui.QLabel(self.centralwidget)
        self.label_2.setGeometry(QtCore.QRect(180, 20, 71, 20))
        self.label_2.setObjectName(_fromUtf8("label_2"))
        self.R1 = QtGui.QLineEdit(self.centralwidget)
        self.R1.setGeometry(QtCore.QRect(330, 50, 71, 22))
        self.R1.setObjectName(_fromUtf8("R1"))
        MainWindow.setCentralWidget(self.centralwidget)

        self.retranslateUi(MainWindow)
        QtCore.QMetaObject.connectSlotsByName(MainWindow)

    def retranslateUi(self, MainWindow):
        MainWindow.setWindowTitle(_translate("MainWindow", "MainWindow", None))
        self.label.setText(_translate("MainWindow", "X-Co-ordinate", None))
        self.label_3.setText(_translate("MainWindow", "Radii", None))
        self.Generate.setText(_translate("MainWindow", "Generate", None))
        self.label_2.setText(_translate("MainWindow", "Y-Co-ordinate", None))

Kode piton:

import os
import sys
import time
import matplotlib.pyplot as plt
import matplotlib.patches as patches
from PyQt4 import QtGui,QtCore

from dt import Ui_MainWindow

class demoMainClass(QtGui.QMainWindow,Ui_MainWindow):
    aX1 =  ("0")
    aY1 =  ("0")
    aR1 =  ("0")
    def __init__(self,parent=None):  
        super(demoMainClass,self).__init__()
        self.setupUi(self)
        self.demoWindowInitialize()
        self.demoFunction()
    def demoWindowInitialize(self):
        self.X1.insert(self.aX1)
        self.Y1.insert(self.aY1)
        self.R1.insert(self.aR1)
        self.Generate.clicked.connect(lambda: self.demoFunction())
    def demoFunction(self):
        x1=float(self.X1.text())
        y1=float(self.Y1.text())
        r1=float(self.R1.text())
        fig2 = plt.figure()
        ax2 = fig2.add_subplot(111, aspect='equal')
        ax2.add_patch(
            patches.Circle(
                (x1, y1),
                 r1,
                 fill=False
            )
        )
        plt.show()
        pass
if __name__ == "__main__":

    app = QtGui.QApplication(sys.argv)
    MainWindow = QtGui.QMainWindow()
    ui = demoMainClass()
    ui.show()
    sys.exit(app.exec_())

Saya ingin menyematkan grafik ke dalam jendela QT saya sendiri. Mencoba dengan QGraphicsView tetapi tidak mendapatkan hasil yang tepat.