def _test_proj_make_M():
# eye point
E = np.array([1000, -1000, 2000])
R = np.array([100, 100, 100])
V = np.array([0, 0, 1])
viewM = proj3d.view_transformation(E, R, V)
perspM = proj3d.persp_transformation(100, -100)
M = np.dot(perspM, viewM)
return M
def get_proj(self):
"""
Create the projection matrix from the current viewing position.
elev stores the elevation angle in the z plane
azim stores the azimuth angle in the x,y plane
dist is the distance of the eye viewing point from the object
point.
"""
relev, razim = np.pi * self.elev/180, np.pi * self.azim/180
xmin, xmax = self.get_xlim3d()/self.pbaspect[0]
ymin, ymax = self.get_ylim3d()/self.pbaspect[1]
zmin, zmax = self.get_zlim3d()/self.pbaspect[2]
# transform to uniform world coordinates 0-1.0,0-1.0,0-1.0
worldM = proj3d.world_transformation(xmin, xmax,
ymin, ymax,
zmin, zmax)
# look into the middle of the new coordinates
R = np.array([0.5, 0.5, 0.5])
xp = R[0] + np.cos(razim) * np.cos(relev) * self.dist
yp = R[1] + np.sin(razim) * np.cos(relev) * self.dist
zp = R[2] + np.sin(relev) * self.dist
E = np.array((xp, yp, zp))
self.eye = E
self.vvec = R - E
self.vvec = self.vvec / proj3d.mod(self.vvec)
if abs(relev) > np.pi/2:
# upside down
V = np.array((0, 0, -1))
else:
V = np.array((0, 0, 1))
zfront, zback = -self.dist, self.dist
viewM = proj3d.view_transformation(E, R, V)
perspM = proj3d.persp_transformation(zfront, zback)
M0 = np.dot(viewM, worldM)
M = np.dot(perspM, M0)
return M
def test_proj_axes_cube_ortho():
E = np.array([200, 100, 100])
R = np.array([0, 0, 0])
V = np.array([0, 0, 1])
viewM = proj3d.view_transformation(E, R, V)
orthoM = proj3d.ortho_transformation(-1, 1)
M = np.dot(orthoM, viewM)
ts = '0 1 2 3 0 4 5 6 7 4'.split()
xs = np.array([0, 1, 1, 0, 0, 0, 1, 1, 0, 0]) * 100
ys = np.array([0, 0, 1, 1, 0, 0, 0, 1, 1, 0]) * 100
zs = np.array([0, 0, 0, 0, 0, 1, 1, 1, 1, 1]) * 100
txs, tys, tzs = proj3d.proj_transform(xs, ys, zs, M)
fig, ax = _test_proj_draw_axes(M, s=150)
ax.scatter(txs, tys, s=300-tzs)
ax.plot(txs, tys, c='r')
for x, y, t in zip(txs, tys, ts):
ax.text(x, y, t)
ax.set_xlim(-200, 200)
ax.set_ylim(-200, 200)
def test_proj_axes_cube_ortho():
E = np.array([200, 100, 100])
R = np.array([0, 0, 0])
V = np.array([0, 0, 1])
viewM = proj3d.view_transformation(E, R, V)
orthoM = proj3d.ortho_transformation(-1, 1)
M = np.dot(orthoM, viewM)
ts = '0 1 2 3 0 4 5 6 7 4'.split()
xs = np.array([0, 1, 1, 0, 0, 0, 1, 1, 0, 0]) * 100
ys = np.array([0, 0, 1, 1, 0, 0, 0, 1, 1, 0]) * 100
zs = np.array([0, 0, 0, 0, 0, 1, 1, 1, 1, 1]) * 100
txs, tys, tzs = proj3d.proj_transform(xs, ys, zs, M)
fig, ax = _test_proj_draw_axes(M, s=150)
ax.scatter(txs, tys, s=300 - tzs)
ax.plot(txs, tys, c='r')
for x, y, t in zip(txs, tys, ts):
ax.text(x, y, t)
ax.set_xlim(-200, 200)
ax.set_ylim(-200, 200)