def calibration_transformation_matrix(width, height, gui_width, gui_height, corners):
transformation_matrix = numpy.zeros((height, width), dtype=V)
for y in range(0, height):
for x in range(0, width):
ap = V.point_line_projection(corners['top_left'], corners['top_right'], V(x, y))
bp = V.point_line_projection(corners['top_right'], corners['bottom_right'], V(x, y))
cp = V.point_line_projection(corners['bottom_left'], corners['bottom_right'], V(x, y))
dp = V.point_line_projection(corners['top_left'], corners['bottom_left'], V(x, y))
ap_abs = ap.abs()
bp_abs = bp.abs()
cp_abs = cp.abs()
dp_abs = dp.abs()
t = cp - corners['bottom_left']
l = t.abs() / (corners['bottom_right']-corners['bottom_left']).abs()
if t*V(1,0) < 0: l = -l
t = ap-corners['top_left']
m = t.abs() / (corners['top_right']-corners['top_left']).abs()
if t*V(1,0) < 0: m = -m
p_tx = l * (gui_width-1) * ap_abs/(ap_abs + cp_abs) + m * (gui_width-1) * cp_abs/(ap_abs + cp_abs)
t = dp-corners['top_left']
n = t.abs() / (corners['bottom_left']-corners['top_left']).abs()
if t*V(0,1) < 0: n = -n
t = bp-corners['top_right']
o = t.abs() / (corners['top_right']-corners['bottom_right']).abs()
if t*V(0,1) < 0: o = -o
p_ty = n * (gui_height-1) * dp_abs/(dp_abs + bp_abs) + o * (gui_height-1) * bp_abs/(dp_abs + bp_abs)
transformation_matrix[y][x] = V(p_tx, p_ty)
return transformation_matrix
def test_point_line_projection(self):
v1 = V(1, 3)
v2 = V(7, 5)
p = V(5, 1)
self.assertEquals(V.point_line_projection(v1, v2, p), V(4,4))