Description
1. Write down a Python program to draw a transformed triangle in a 3D space. A. Set the window title to your student ID and the window size to (480,480). B. Use the following code snippet: + 2021_ITE0000_2019000001 + LabAssignment8/ + 1/ – 1.py + 2/ – 2.py + 3/ – 3.py C. If you press or repeat a key, the triangle should be transformed as shown in the Table. Note that key 1 and 3 are already implemented in the above code snippet. Key Transformation Q Translate by -0.1 in x direction w.r.t global coordinate E Translate by 0.1 in x direction w.r.t global coordinate A Rotate about y axis by -10 degrees w.r.t local coordinate D Rotate about y axis by +10 degrees w.r.t local coordinate W Rotate about x axis by -10 degrees w.r.t local coordinate S Rotate about x axis by +10 degrees w.r.t local coordinate gCamAng = 0 gComposedM = np.identity(4) def render(M, camAng): # enable depth test glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT) glEnable(GL_DEPTH_TEST) glLoadIdentity() # use orthogonal projection glOrtho(-1,1, -1,1, -1,1) # rotate “camera” position to see this 3D space better gluLookAt(.1*np.sin(camAng),.1, .1*np.cos(camAng), 0,0,0, 0,1,0) # draw coordinate: x in red, y in green, z in blue glBegin(GL_LINES) glColor3ub(255, 0, 0) glVertex3fv(np.array([0.,0.,0.])) glVertex3fv(np.array([1.,0.,0.])) glColor3ub(0, 255, 0) glVertex3fv(np.array([0.,0.,0.])) glVertex3fv(np.array([0.,1.,0.])) glColor3ub(0, 0, 255) glVertex3fv(np.array([0.,0.,0])) glVertex3fv(np.array([0.,0.,1.])) glEnd() # draw triangle glBegin(GL_TRIANGLES) glColor3ub(255, 255, 255) glVertex3fv((M @ np.array([.0,.5,0.,1.]))[:-1]) glVertex3fv((M @ np.array([.0,.0,0.,1.]))[:-1]) glVertex3fv((M @ np.array([.5,.0,0.,1.]))[:-1]) glEnd() def key_callback(window, key, scancode, action, mods): global gCamAng, gComposedM if action==glfw.PRESS or action==glfw.REPEAT: if key==glfw.KEY_1: gCamAng += np.radians(-10) elif key==glfw.KEY_3: gCamAng += np.radians(10) 1 Rotate camera -10 degree 3 Rotate camera 10 degree D. Transformations should be accumulated (composed with previous one). E. Files to submit: A Python source file (Name the file whatever you want (in English). Extension should be .py) 2. Write down a Python program to draw a hierarchical model of boxes. A. Set the window title to your student ID and the window size to (480,480). B. Start from the following code skeleton. import glfw from OpenGL.GL import * import numpy as np from OpenGL.GLU import * def render(): glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT) glEnable(GL_DEPTH_TEST) glMatrixMode(GL_PROJECTION) glLoadIdentity() glOrtho(-2,2, -2,2, -1,1) glMatrixMode(GL_MODELVIEW) glLoadIdentity() drawFrame() t = glfw.get_time() # blue base transformation glPushMatrix() glTranslatef(np.sin(t), 0, 0) # blue base drawing glPushMatrix() glScalef(.2, .2, .2) glColor3ub(0, 0, 255) drawBox() glPopMatrix() # red arm transformation glPushMatrix() glRotatef(t*(180/np.pi), 0, 0, 1) glTranslatef(.5, 0, .01) # red arm drawing glPushMatrix() glScalef(.5, .1, .1) glColor3ub(255, 0, 0) drawBox() glPopMatrix() glPopMatrix() glPopMatrix() C. Add a green arm at the end of the red arm, and rotate the green arm about its local z axis. i. Render the green arm using drawBox(). D. Also render local frames of the blue base, red arm, green arm using drawFrame(). E. Expected result: Uploaded LabAssignment8-2.mp4 F. Files to submit: A Python source file (Name the file whatever you want (in English). Extension should be .py) def drawBox(): glBegin(GL_QUADS) glVertex3fv(np.array([1,1,0.])) glVertex3fv(np.array([-1,1,0.])) glVertex3fv(np.array([-1,-1,0.])) glVertex3fv(np.array([1,-1,0.])) glEnd() def drawFrame(): # draw coordinate: x in red, y in green, z in blue glBegin(GL_LINES) glColor3ub(255, 0, 0) glVertex3fv(np.array([0.,0.,0.])) glVertex3fv(np.array([1.,0.,0.])) glColor3ub(0, 255, 0) glVertex3fv(np.array([0.,0.,0.])) glVertex3fv(np.array([0.,1.,0.])) glColor3ub(0, 0, 255) glVertex3fv(np.array([0.,0.,0])) glVertex3fv(np.array([0.,0.,1.])) glEnd() def main(): if not glfw.init(): return window = glfw.create_window(480,480,’2017123456-lab6-1′, None,None) if not window: glfw.terminate() return glfw.make_context_current(window) glfw.swap_interval(1) while not glfw.window_should_close(window): glfw.poll_events() render() glfw.swap_buffers(window) glfw.terminate() if __name__ == “__main__”: main()
