1. Write down a Python program to draw a transformed triangle in a 3D space.
- Set the window title to your student ID and the window size to (480,480).
- Use the following code snippet:
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)
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
Q
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
|
Transformation |
|
Translate by -0.1 in x direction w.r.t global coordinate |
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.
- Set the window title to your student ID and the window size to (480,480).
- 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()
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()
C.
D.
E.
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().
Also render local frames of the blue base, red arm, green arm using drawFrame().
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)
