def test_smooth_without_size(self):
arr = self._flat_arr
surf = Topography(arr, (1, 1)).detrend(detrend_mode='height')
self.assertEqual(surf.dim, 2)
self.assertTrue(surf.is_uniform)
self.assertAlmostEqual(surf.mean(), 0)
self.assertAlmostEqual(surf.rms_gradient(), 0)
self.assertTrue(
surf.rms_height_from_area() < Topography(arr, (1, 1)).rms_height_from_area())
def test_smooth_flat_2d(self):
arr = self._flat_arr
a = 1.2
b = 2.5
d = .2
arr = np.arange(5) * a + d
arr = arr + np.arange(6).reshape((-1, 1)) * b
surf = Topography(arr, (1, 1)).detrend(detrend_mode='center')
self.assertTrue(surf.is_uniform)
self.assertAlmostEqual(surf.mean(), 0)
surf = Topography(arr, (1.5, 3.2)).detrend(detrend_mode='slope')
self.assertEqual(surf.dim, 2)
self.assertTrue(surf.is_uniform)
self.assertAlmostEqual(surf.mean(), 0)
self.assertAlmostEqual(surf.rms_gradient(), 0)
surf = Topography(arr, arr.shape).detrend(detrend_mode='height')
self.assertEqual(surf.dim, 2)
self.assertTrue(surf.is_uniform)
self.assertAlmostEqual(surf.mean(), 0)
self.assertAlmostEqual(surf.rms_gradient(), 0)
self.assertTrue(
surf.rms_height_from_area() < Topography(arr, arr.shape).rms_height_from_area())
surf2 = Topography(arr, (1, 1)).detrend(detrend_mode='height')
self.assertEqual(surf.dim, 2)
self.assertTrue(surf2.is_uniform)
self.assertAlmostEqual(surf2.rms_gradient(), 0)
self.assertTrue(
surf2.rms_height_from_area() < Topography(arr, arr.shape).rms_height_from_area())
self.assertAlmostEqual(surf.rms_height_from_area(), surf2.rms_height_from_area())
x, y, z = surf2.positions_and_heights()
self.assertAlmostEqual(np.mean(np.diff(x[:, 0])),
surf2.physical_sizes[0] / surf2.nb_grid_pts[0])
self.assertAlmostEqual(np.mean(np.diff(y[0, :])),
surf2.physical_sizes[1] / surf2.nb_grid_pts[1])
def test_smooth_curved(self):
a = 1.2
b = 2.5
c = 0.1
d = 0.2
e = 0.3
f = 5.5
x = np.arange(5).reshape((1, -1))
y = np.arange(6).reshape((-1, 1))
arr = f + x * a + y * b + x * x * c + y * y * d + x * y * e
sx, sy = 3, 2.5
nx, ny = arr.shape
surf = Topography(arr, physical_sizes=(sx, sy))
surf = surf.detrend(detrend_mode='curvature')
self.assertTrue(surf.is_uniform)
self.assertAlmostEqual(surf.coeffs[0], b * nx)
self.assertAlmostEqual(surf.coeffs[1], a * ny)
self.assertAlmostEqual(surf.coeffs[2], d * (nx * nx))
self.assertAlmostEqual(surf.coeffs[3], c * (ny * ny))
self.assertAlmostEqual(surf.coeffs[4], e * (nx * ny))
self.assertAlmostEqual(surf.coeffs[5], f)
self.assertAlmostEqual(surf.rms_height_from_area(), 0.0)
self.assertAlmostEqual(surf.rms_gradient(), 0.0)
self.assertAlmostEqual(surf.rms_curvature_from_area(), 0.0)