def test_line_model_residuals():
model = EllipseModel()
# vertical line through origin
model._params = (0, 0, 10, 5, 0)
assert_almost_equal(abs(model.residuals(np.array([[10, 0]]))), 0)
assert_almost_equal(abs(model.residuals(np.array([[0, 5]]))), 0)
assert_almost_equal(abs(model.residuals(np.array([[0, 10]]))), 5)
def test_ellipse_model_residuals():
model = EllipseModel()
# vertical line through origin
model._params = (0, 0, 10, 5, 0)
assert_almost_equal(abs(model.residuals(np.array([[10, 0]]))), 0)
assert_almost_equal(abs(model.residuals(np.array([[0, 5]]))), 0)
assert_almost_equal(abs(model.residuals(np.array([[0, 10]]))), 5)
def test_ellipse_model_predict():
model = EllipseModel()
r = 5
model._params = (0, 0, 5, 10, 0)
t = np.arange(0, 2 * np.pi, np.pi / 2)
xy = np.array(((5, 0), (0, 10), (-5, 0), (0, -10)))
assert_almost_equal(xy, model.predict_xy(t))
def test_ellipse_model_predict():
model = EllipseModel()
r = 5
model._params = (0, 0, 5, 10, 0)
t = np.arange(0, 2 * np.pi, np.pi / 2)
xy = np.array(((5, 0), (0, 10), (-5, 0), (0, -10)))
assert_almost_equal(xy, model.predict_xy(t))
def test_ellipse_model_estimate():
# generate original data without noise
model0 = EllipseModel()
model0._params = (10, 20, 15, 25, 0)
t = np.linspace(0, 2 * np.pi, 100)
data0 = model0.predict_xy(t)
# add gaussian noise to data
np.random.seed(1234)
data = data0 + np.random.normal(size=data0.shape)
# estimate parameters of noisy data
model_est = EllipseModel()
model_est.estimate(data)
# test whether estimated parameters almost equal original parameters
assert_almost_equal(model0._params, model_est._params, 0)
def test_ellipse_model_estimate():
# generate original data without noise
model0 = EllipseModel()
model0._params = (10, 20, 15, 25, 0)
t = np.linspace(0, 2 * np.pi, 100)
data0 = model0.predict_xy(t)
# add gaussian noise to data
np.random.seed(1234)
data = data0 + np.random.normal(size=data0.shape)
# estimate parameters of noisy data
model_est = EllipseModel()
model_est.estimate(data)
# test whether estimated parameters almost equal original parameters
assert_almost_equal(model0._params, model_est._params, 0)
