diff --git a/ImageD11/sinograms/geometry.py b/ImageD11/sinograms/geometry.py index f3154c0f..9bbbd33a 100644 --- a/ImageD11/sinograms/geometry.py +++ b/ImageD11/sinograms/geometry.py @@ -1,19 +1,32 @@ """Sinogram-related geometric functions pulled from various places. -In this file there are three reference frames: +In this file there are four reference frames: -1. The sample frame +1. The lab frame that we all know and love -2. Step space: +2. The sample frame - this has the rotation axis at its origin, but could be translated by the dty motor +It could also be rotated by an angle omega, CCW about the rotation axis (looking top down) + +3. Step space: step from the rotation axis center, coords are (si, sj) -3. Reconstruction space: +4. Reconstruction space: units are (ystep), origin in corner (matches iradon output) when plotted with origin="lower", coords are (ri, rj) -Diagrams are below, S indicates the centre of the sample +Diagrams are below, S indicates the rotation axis -sample frame: +lab frame: + + ^ + | + | x + | +<------- O (0, 0) + y + + +sample frame (could be rotated about omega then translated along lab y): ^ | @@ -54,18 +67,53 @@ from skimage.feature import blob_log -def sample_to_step(x, y, ystep): - """Converts sample (x, y) position to step space (si, sj)""" - si = x / ystep - sj = -y / ystep +def sample_to_lab(sx, sy, y0, dty, omega): + """Converts sample (sx, sy) position to the lab frame (lx, ly) + The sample reference frame could be rotated by an angle omega (degrees) CCW about the rotation axis + The rotation axis is defined as the origin of the sample reference frame + The sample reference frame could also be translated by dty along ly after rotation""" + + # first, rotate sx and sy by omega about its origin (rotation axis) + omega_rad = np.radians(omega) + sxr = sx * np.cos(omega_rad) - sy * np.sin(omega_rad) + syr = sx * np.sin(omega_rad) + sy * np.cos(omega_rad) + + # then translate about the rotated frame + + lx = sxr + ly = syr - y0 + dty + + return lx, ly + + +def lab_to_sample(lx, ly, y0, dty, omega): + """Converts lab (lx, ly) fixed reference frame position + to a possibly rotated and translated sample frame (sx, sy)""" + # first, translate + + sxr = lx + syr = ly + y0 - dty + + # then rotate + omega_rad = np.radians(omega) + sx = sxr * np.cos(-omega_rad) - syr * np.sin(-omega_rad) + sy = sxr * np.sin(-omega_rad) + syr * np.cos(-omega_rad) + + return sx, sy + + +def sample_to_step(sx, sy, ystep): + """Converts sample (sx, sy) position to step space (si, sj)""" + si = sx / ystep + sj = -sy / ystep return si, sj def step_to_sample(si, sj, ystep): - """Converts step space (si, sj) to sample position (x, y)""" - x = si * ystep - y = -sj * ystep - return x, y + """Converts step space (si, sj) to sample position (sx, sy)""" + sx = si * ystep + sy = -sj * ystep + return sx, sy def step_to_recon(si, sj, recon_shape): diff --git a/sandbox/scanning_geometry.ipynb b/sandbox/scanning_geometry.ipynb index b36b149a..488d10f6 100644 --- a/sandbox/scanning_geometry.ipynb +++ b/sandbox/scanning_geometry.ipynb @@ -148,14 +148,42 @@ { "cell_type": "code", "execution_count": 7, - "id": "d90dbaf1-ea04-4398-8242-07dbdee4f013", + "id": "e0afaeea-3cfd-4e24-89aa-367e2a58da6a", "metadata": { "tags": [] }, "outputs": [ { "data": { - "image/png": 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", + "text/plain": [ + "(-0.000893208512337651, 499.9999999992022)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# assume no dty problems for now, y0 is 0 and dty is 0\n", + "# then put omega = 36.87 degrees\n", + "# grain should end up at (0, 500) in the lab frame\n", + "\n", + "pos_lab = geometry.sample_to_lab(pos_sample[0], pos_sample[1], y0=0, dty=0, omega=36.87)\n", + "pos_lab" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "cb9bbe31-2209-48f8-8835-35d1d2032351", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", 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" ] @@ -165,45 +193,35 @@ } ], "source": [ - "# let's assume that we didn't reset the position of dty\n", - "# so there's an offset\n", - "# at dty = 0, the centre of the sample does not intercept the beam\n", - "# this instead happens at dty = -65 um\n", - "# therefore y0 = -65\n", - "y0 = -65\n", - "\n", - "pos_lab = pos_sample.copy()\n", - "pos_lab[1] = pos_lab[1] - y0\n", - "\n", "fig, ax = plt.subplots()\n", "ax.scatter(pos_lab[1], pos_lab[0], label='grain COM', c='g')\n", "ax.scatter(0, 0, label='lab origin', c='k')\n", - "ax.scatter(-y0, 0, label='sample centre', c='r')\n", + "# ax.scatter(-y0, 0, label='sample centre', c='r')\n", "ax.set_xlim(1000, -1000)\n", "ax.set_ylim(-1000, 1000)\n", "ax.set_aspect(1)\n", "ax.set_xlabel(\"Lab Y\")\n", "ax.set_ylabel(\"Lab X (beam)\")\n", "ax.legend()\n", - "ax.set_title(\"Top-down, dty = 0\")\n", + "ax.set_title(\"Top-down, dty = 0, omega = 36.87\")\n", "plt.grid(axis='x', color='0.95')\n", "plt.grid(axis='y', color='0.95')\n", - "circle1 = plt.Circle((-y0, 0), sample_radius, color='r', fill=False)\n", + "circle1 = plt.Circle((0, 0), sample_radius, color='r', fill=False)\n", "ax.add_patch(circle1)\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": 8, - "id": "e3661982-ea9a-4609-96ea-dfbaac8bf623", + "execution_count": 9, + "id": "aedb2576-8ed8-4e51-ba58-140b86c63b18", "metadata": { "tags": [] }, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -213,35 +231,55 @@ } ], "source": [ + "# let's assume that we didn't reset the position of dty\n", + "# so there's an offset\n", + "# at dty = 0, the centre of the sample does not intercept the beam\n", + "# this instead happens at dty = -65 um\n", + "# therefore y0 = -65\n", + "\n", + "# what happens when we try to rotate the grain into the beam?\n", + "\n", + "y0 = -65\n", + "\n", + "pos_lab = geometry.sample_to_lab(pos_sample[0], pos_sample[1], y0, 0, omega=36.87+90)\n", + "pos_rotaxis_lab = geometry.sample_to_lab(0, 0, y0, 0, omega=36.87+90)\n", + "\n", "fig, ax = plt.subplots()\n", - "ax.scatter(pos_lab[1] + y0, pos_lab[0], label='grain COM', c='g')\n", - "ax.scatter(0, 0, label='lab origin', c='k', s=100)\n", - "ax.scatter(0, 0, label='sample centre', c='r')\n", + "ax.scatter(pos_lab[1], pos_lab[0], label='grain COM', c='g')\n", + "ax.scatter(0, 0, label='lab origin', c='k')\n", + "ax.scatter(pos_rotaxis_lab[1], pos_rotaxis_lab[0], label='sample centre', c='r')\n", "ax.set_xlim(1000, -1000)\n", "ax.set_ylim(-1000, 1000)\n", "ax.set_aspect(1)\n", "ax.set_xlabel(\"Lab Y\")\n", "ax.set_ylabel(\"Lab X (beam)\")\n", "ax.legend()\n", - "ax.set_title(\"Top-down, dty = -65\")\n", + "ax.set_title(f\"Top-down, dty = 0, omega = {36.87+90}\")\n", "plt.grid(axis='x', color='0.95')\n", "plt.grid(axis='y', color='0.95')\n", - "circle1 = plt.Circle((0, 0), sample_radius, color='r', fill=False)\n", + "circle1 = plt.Circle((pos_rotaxis_lab[1], pos_rotaxis_lab[0]), sample_radius, color='r', fill=False)\n", "ax.add_patch(circle1)\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "id": "2a19bcc9-a219-45b3-ae07-e9d4feb64993", "metadata": { "tags": [] }, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(300.0, 0.0)\n" + ] + }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -253,27 +291,33 @@ "source": [ "# To get the grain into the beam at omega = 0?\n", "\n", + "dty = -465\n", + "\n", + "pos_lab = geometry.sample_to_lab(pos_sample[0], pos_sample[1], y0, dty=dty, omega=0)\n", + "pos_rotaxis_lab = geometry.sample_to_lab(0, 0, y0, dty=dty, omega=0)\n", + "print(pos_lab)\n", + "\n", "fig, ax = plt.subplots()\n", - "ax.scatter(pos_lab[1] + y0 - sample_y, pos_lab[0], label='grain COM', c='g')\n", + "ax.scatter(pos_lab[1], pos_lab[0], label='grain COM', c='g')\n", "ax.scatter(0, 0, label='lab origin', c='k', s=100)\n", - "ax.scatter(-sample_y, 0, label='sample centre', c='r')\n", + "ax.scatter(pos_rotaxis_lab[1], pos_rotaxis_lab[0], label='sample centre', c='r')\n", "ax.set_xlim(1000, -1000)\n", "ax.set_ylim(-1000, 1000)\n", "ax.set_aspect(1)\n", "ax.set_xlabel(\"Lab Y\")\n", "ax.set_ylabel(\"Lab X (beam)\")\n", "ax.legend()\n", - "ax.set_title(f\"Top-down, dty = {y0 - sample_y}\")\n", + "ax.set_title(f\"Top-down, dty = {dty}, omega = 0\")\n", "plt.grid(axis='x', color='0.95')\n", "plt.grid(axis='y', color='0.95')\n", - "circle1 = plt.Circle((-sample_y, 0), sample_radius, color='r', fill=False)\n", + "circle1 = plt.Circle((pos_rotaxis_lab[1], pos_rotaxis_lab[0]), sample_radius, color='r', fill=False)\n", "ax.add_patch(circle1)\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "id": "4cae0b1b-7314-4dbf-b363-23d528abbb6c", "metadata": {}, "outputs": [], @@ -292,7 +336,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "id": "e43e951d-bee2-4874-a013-0ece0ad2bb8a", "metadata": { "tags": [] @@ -349,7 +393,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "id": "e7d82abd-f750-4206-9ee6-90599d9a4d88", "metadata": { "tags": [] @@ -375,7 +419,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "id": "d83ce30f-7825-471d-8ece-14dbe1e4cd34", "metadata": { "tags": [] @@ -387,7 +431,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 15, "id": "4acaaf81-093f-47f5-a2e5-812f307fb3ce", "metadata": { "tags": [] @@ -401,7 +445,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "id": "207ed86a-79d6-4a87-ab49-5bc6377263d5", "metadata": { "tags": [] @@ -415,7 +459,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "id": "c16e796e-887c-4e97-82c5-e7d7db6f637d", "metadata": { "tags": [] @@ -449,7 +493,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 18, "id": "8cef9b44-fe9c-420d-9df8-cd6a751298d8", "metadata": { "tags": [] @@ -461,7 +505,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 19, "id": "ab3afbe9-5cf4-44a4-821d-1a3948386a6f", "metadata": {}, "outputs": [ @@ -484,7 +528,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 20, "id": "16cd83e2-1593-46c6-8c99-c7d7f57d4eb4", "metadata": { "tags": [] @@ -519,7 +563,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 21, "id": "b719211f-f41e-4588-8da9-c77da2543083", "metadata": { "tags": [] @@ -557,7 +601,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 22, "id": "c56aea60-4c85-4815-8ab1-90ad96618287", "metadata": { "tags": [] @@ -592,7 +636,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 23, "id": "fb59ed5c-a7da-4393-8e95-4e061dcd1139", "metadata": { "tags": [] @@ -604,7 +648,7 @@ "(164, 164)" ] }, - "execution_count": 22, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } @@ -615,7 +659,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 24, "id": "a12eb778-b597-4eb1-8581-1532e0c1b4e9", "metadata": { "tags": [] @@ -641,7 +685,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 25, "id": "74349cdf-8256-49c5-8717-88702917446a", "metadata": { "tags": [] @@ -663,7 +707,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 26, "id": "3781cf99-ab3a-4a4f-b209-32a00bf06b98", "metadata": { "tags": [] @@ -685,7 +729,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 27, "id": "dfbacda9-6e24-4e77-8fc8-c6d3c3e5e9b9", "metadata": { "tags": [] @@ -717,7 +761,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 28, "id": "6469278a-5007-47e1-91b1-d9b8c3279949", "metadata": { "tags": [] diff --git a/test/test_geometry.py b/test/test_geometry.py index d5d2fd27..f8cf6cf0 100644 --- a/test/test_geometry.py +++ b/test/test_geometry.py @@ -4,6 +4,63 @@ from ImageD11.sinograms import geometry +class TestSampleToLab(unittest.TestCase): + def test_sample_to_lab(self): + sx = 0.5 # um + sy = np.sqrt(3) / 2 # um + y0 = 35 # um + dty = 34 # um + omega = 30 # degrees + desired_lx = 0.0 # um + desired_ly = 0.0 # um + + # assuming no y0/dty problems, rotating by 30 degrees should bring the grain + # onto the x-axis + # with coords (1, 0) + # however because y0 != dty + # rotation axis is further negative y than expected + # shift the sample to the right (negative y) + # puts the grain on the origin + + lx, ly = geometry.sample_to_lab(sx, sy, y0, dty, omega) + + self.assertAlmostEqual(desired_lx, lx) + self.assertAlmostEqual(desired_ly, ly) + + def test_lab_to_sample(self): + # let's define a grain that's in the beam at 90 degrees + lx = -1.0 # um + ly = 0.0 # um + y0 = 35 # um + dty = 34 # um + omega = 90.0 # degrees + # dty is less than y0, so the rotation axis is further to the right (negative lab y) than expected + desired_sx = 1.0 + desired_sy = 1.0 + + # (-1, 0) in the lab + # goes to (-1, 1) in the translated frame + # then we rotate reference frame to match + + sx, sy = geometry.lab_to_sample(lx, ly, y0, dty, omega) + + self.assertAlmostEqual(desired_sx, sx) + self.assertAlmostEqual(desired_sy, sy) + + def test_cycle(self): + sx = 4.32 + sy = -6.49 + y0 = 42 + dty = -24 + omega = -456 + + lx, ly = geometry.sample_to_lab(sx, sy, y0, dty, omega) + sx_final, sy_final = geometry.lab_to_sample(lx, ly, y0, dty, omega) + + self.assertAlmostEqual(sx, sx_final) + self.assertAlmostEqual(sy, sy_final) + + class TestSampleToStep(unittest.TestCase): def test_sample_to_step(self): ystep = 2.0 # um/px @@ -234,7 +291,7 @@ class TestFitSamplePositionFromRecon(unittest.TestCase): def test_simple_recon(self): ni, nj = (100, 200) # size of recon recon = np.zeros((ni, nj), dtype=float) # blank reconstruction image - recon_centre = (ni//2, nj//2) # find centre of recon + recon_centre = (ni // 2, nj // 2) # find centre of recon centre_offset = 10 # 10 px away from centre ri, rj = (recon_centre[0] + centre_offset, recon_centre[1] - centre_offset) # recon position of hot pixel recon[ri, rj] = 1.0 @@ -250,19 +307,19 @@ def test_simple_recon(self): self.assertSequenceEqual((desired_x, desired_y), (x, y)) -class TestDtyMask( unittest.TestCase ): +class TestDtyMask(unittest.TestCase): def setUp(self): om = np.arange(180) self.ystep = 0.1 - y = np.arange(-5,5.1,self.ystep) + y = np.arange(-5, 5.1, self.ystep) self.shape = (len(y), len(om)) self.omega = np.empty(self.shape, float) self.dty = np.empty(self.shape, float) self.omega[:] = om[np.newaxis, :] self.dty[:] = y[:, np.newaxis] self.dtyi = self.dty / self.ystep - self.sinomega = np.sin( np.radians( self.omega ) ) - self.cosomega = np.cos( np.radians( self.omega ) ) + self.sinomega = np.sin(np.radians(self.omega)) + self.cosomega = np.cos(np.radians(self.omega)) def test_cos_sin(self): x = 12.0 @@ -275,6 +332,5 @@ def test_cos_sin(self): self.assertTrue((m1 == m2).all()) - -if __name__=="__main__": +if __name__ == "__main__": unittest.main()