diff --git a/Entrega.ipynb b/Entrega.ipynb index 8d7286eddea0025797080bdf72cc0d685a66cda6..33b7a9c467299d82a2b29020b99f4d4ac0969b8c 100644 --- a/Entrega.ipynb +++ b/Entrega.ipynb @@ -186,7 +186,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Ajuste de gaussiana a imagen blanco y negro" + "## Las estrellas que voy a estar analizando las enmarco en la imagen a blanco y negro. En total seleccione 10 estrellas" ] }, { @@ -244,6 +244,13 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Ajuste de gaussiana a imagen blanco y negro" + ] + }, { "cell_type": "code", "execution_count": 8, @@ -251,6 +258,9 @@ "outputs": [], "source": [ "def function(params, x, y):\n", + " '''\n", + " Define función gaussiana generalizada en dos dimensiones.\n", + " '''\n", " A = params[0]\n", " sigma_x = params[1]\n", " sigma_y = params[2]\n", @@ -274,6 +284,10 @@ "outputs": [], "source": [ "def Error(tpl,x,y,z):\n", + " '''\n", + " Calcula el error entre el valor z dado por la imagen y el determinado por el método de mÃnimos cuadrados\n", + " o cualquier otro. Al ser el resultado dos dimensional, fue necesario convertirlo en unidimensional.\n", + " '''\n", " # x son las posiciones reportadas\n", " # y son los valores medidos en las posiciones x\n", " # tpl es una tupla con los parámetros para calcular el modelo\n", @@ -289,6 +303,10 @@ "outputs": [], "source": [ "def calculator(star,p0,Error):\n", + " '''\n", + " Extrae las coordenadas x & y de la imagen y calcula la mejor gaussiana mediante el método de mÃnimos\n", + " cuadrados\n", + " '''\n", " x = np.arange(0,star.shape[0],1)\n", " y = np.arange(0,star.shape[1],1)\n", " x, y = np.meshgrid(y,x)\n", @@ -302,6 +320,7 @@ "metadata": {}, "outputs": [], "source": [ + "# -- listas para guardar los valore del Full Width at Half Maximum\n", "FWHM_x = []\n", "FWHM_y = []" ] @@ -313,6 +332,11 @@ "outputs": [], "source": [ "def determinar(star,p0, FWHMx = FWHM_x, FWHMy = FWHM_y):\n", + " '''\n", + " Determina la mejor gaussiana dado un punto inicial, usando la función calculator.\n", + " Determina el valor del FWHM en dirección x & y, guarda el valor en una lista.\n", + " Genera una gráfica donde se muestra el contorno de la gaussiana determinada encima de la imagen.\n", + " '''\n", " best_star,x,y = calculator(star, p0, Error)\n", " print(best_star)\n", " FWHM_star_x = 2*np.sqrt(2*np.log(2))*best_star[1]\n", @@ -989,7 +1013,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Para el canal rojo\n", + "# Ajuste de gaussiana para imagen: canal rojo\n", "Para extraer el canal rojo, usamos todas las filas, todas las columnas, pero solo el primero de los tres canales\n", "<br> $img[:,:,0]$" ] @@ -1564,6 +1588,14 @@ "determinar(str_10r,p0,FWHM_xr,FWHM_yr)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Los valores para el Full Width at Half Maximum (FHWM)\n", + "Considere el valor en dirección x & en dirección y. Saque la desviación estándar, el promedio, la mediana y el histograma" + ] + }, { "cell_type": "code", "execution_count": 36, @@ -1658,7 +1690,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Para el canal verde\n", + "# Ajuste de gaussiana para imagen: canal verde\n", "Para extraer el canal verde, usamos todas las filas, todas las columnas, pero solo el segundo de los tres canales\n", "<br> $img[:,:,1]$" ] @@ -1701,9 +1733,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "[189.66980834 0.90810483 -0.99594245 2.00139708 2.04842512\n", - " -0.3165475 67.1450221 ]\n", - "2.138423446363862 -2.345265237194763\n" + "[189.66980515 0.90810494 0.99594246 2.00139712 2.04842509\n", + " -0.31654792 67.1450173 ]\n", + "2.138423711514054 2.3452652626833705\n" ] }, { @@ -1725,7 +1757,7 @@ "plt.imshow(str_1g, cmap ='Greens')\n", "plt.show()\n", "\n", - "p0 = [70, 1.2, 11, 1, 1, 0, 0]\n", + "p0 = [70, 1.5, 11, 1, 1, 0, 0]\n", "determinar(str_1g,p0,FWHM_xg,FWHM_yg)" ] }, @@ -1869,14 +1901,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "[ 2.54183916e+02 1.23046840e-01 6.70047307e+00 1.10425433e+00\n", - " 8.90248962e+00 -3.27336289e+00 1.00028559e+02]\n", - "0.2897531646610474 15.77840830699988\n" + "[171.70162698 0.72207629 0.95112594 1.94675696 2.26657667\n", + " 9.33559274 84.76461655]\n", + "1.7003597200006297 2.2397304322878533\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "<Figure size 1440x504 with 1 Axes>" ] @@ -1893,7 +1925,7 @@ "plt.imshow(str_4g, cmap='Greens')\n", "plt.show()\n", "\n", - "p0 = [10, 3, 6, 0.9, 1.4, 0, 0]\n", + "p0 = [10, 4, 6, 0.9, 1.4, 0, 0]\n", "determinar(str_4g,p0,FWHM_xg,FWHM_yg)" ] }, @@ -1911,7 +1943,7 @@ "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ "<Figure size 432x288 with 1 Axes>" ] @@ -1946,7 +1978,7 @@ "source": [ "str_5g = img[:,:,1].copy()\n", "str_5g = str_5g[347:356,542:552]\n", - "plt.imshow(str_5g, cmap='Reds')\n", + "plt.imshow(str_5g, cmap='Greens')\n", "plt.show()\n", "\n", "p0 = [10, 3.4, 6, 0.8, 1.4, 0, 0]\n", @@ -1981,14 +2013,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "[156.84239601 1.06029633 -0.85528965 2.10415147 1.66655756\n", - " -1.79293029 104.32668398]\n", - "2.496807049197658 -2.0140532065754813\n" + "[156.84218534 1.06030104 0.85529269 2.10415204 1.66655508\n", + " -1.79293087 104.3264753 ]\n", + "2.4968181499130977 2.0140603781124353\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "<Figure size 1440x504 with 1 Axes>" ] @@ -2005,7 +2037,7 @@ "plt.imshow(str_6g, cmap='Greens')\n", "plt.show()\n", "\n", - "p0 = [10, 3.3, 5.9, 0.78, 1.7, 0, 0]\n", + "p0 = [10, 3.5, 6, 0.78, 1.7, 0, 0]\n", "determinar(str_6g,p0,FWHM_xg,FWHM_yg)" ] }, @@ -2037,14 +2069,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "[145.65438883 1.76651044 -1.99543502 6.18714986 5.63414887\n", - " 0.57532162 107.47538165]\n", - "4.159814204121252 -4.69889038357356\n" + "[145.65432612 1.76651186 1.99543641 6.18715013 5.63414873\n", + " 0.57532504 107.4753585 ]\n", + "4.159817530728484 4.6988936558118475\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "<Figure size 1440x504 with 1 Axes>" ] @@ -2061,7 +2093,7 @@ "plt.imshow(str_7g, cmap='Greens')\n", "plt.show()\n", "\n", - "p0 = [10, 2, 5, 3, 5, 0, 0]\n", + "p0 = [15, 2, 5, 3, 5, 0, 0]\n", "determinar(str_7g,p0,FWHM_xg,FWHM_yg)" ] }, @@ -2093,22 +2125,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "[ 84.37015237 15.86828358 1147.80036859 31.62775195 210.07110406\n", - " 109.3925339 161.66666667]\n", - "37.36695224911869 2702.863315654261\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:12: UserWarning: No contour levels were found within the data range.\n", - " if sys.path[0] == '':\n" + "[132.62532774 0.95533301 1.27035965 2.15830574 2.3619008\n", + " 5.91555374 128.72993202]\n", + "2.249637328620205 2.9914683602476924\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "<Figure size 1440x504 with 1 Axes>" ] @@ -2125,7 +2149,7 @@ "plt.imshow(str_8g, cmap='Greens')\n", "plt.show()\n", "\n", - "p0 = [10, 3.43, 6.4, 0.01, 0.5, 0, 0]\n", + "p0 = [10, 3.43, 6.4, 1, 0.5, 0, 0]\n", "determinar(str_8g,p0,FWHM_xg,FWHM_yg)" ] }, @@ -2241,6 +2265,14 @@ "determinar(str_10g,p0,FWHM_xg,FWHM_yg)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Los valores para el Full Width at Half Maximum (FHWM)\n", + "Considere el valor en dirección x & en dirección y. Saque la desviación estándar, el promedio, la mediana y el histograma" + ] + }, { "cell_type": "code", "execution_count": 49, @@ -2250,16 +2282,16 @@ "name": "stdout", "output_type": "stream", "text": [ - "[ 2.13842345 2.52973184 5.89343054 0.28975316 2.59108923 2.49680705\n", - " 4.1598142 37.36695225 2.13656243 2.35291401]\n", + "[2.13842371 2.52973184 5.89343054 1.70035972 2.59108923 2.49681815\n", + " 4.15981753 2.24963733 2.13656243 2.35291401]\n", "1.1372820062135576\n", - "6.19554781582665\n", - "2.5132694458445393\n" + "2.824878448558046\n", + "2.4248660798025896\n" ] }, { "data": { - "image/png": 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J5KWktvmBfBI4JZ+0vRv46KAjNDOzISt7dc0zwJH5VVpEXA9MGXxYZmbWCk2TvKQbSTcxNRQRr215RGZm1jID1eR3GZEozMysEk2TfETcM1KBmJlZ65W9GWprSddKWiTpWUlLJC2oOjgzMxuestfJHw1MJd31OhbYj3T3q5mZdbDSDw2JiDuBURGxJCKOB95dXVhmZtYKZa+Tfypf6369pO8Cc/FTpczMOl7ZRL13nvcTpD5o1gfeX1VQZmbWGmVr8m8AfhsRC4CvVxiPmZm1UNma/K6k7oV/KWkXSWW/HMzMrI1KJfmI+CiwMXAm6Sqbu3KHZWZm1sFK18gj4jlJF5C6ORgL7E66lNLMzDpU2ZuhdpJ0Auk6+feTHs798grjMjOzFihbk/8wcAawf+6R0szMukDZroanVh2ImZm1nm9oMjPrYU7yZmY9rHSSlzRW0iZVBmNmZq1V9uqaXYHrgQvz+OaSzq8wLjMza4GyNflDgS2Bx+H5Z7duUElEZmbWMmWT/HMR8URdWb/PfjUzs85Q9jr5myX9JzBK0iuAg4AryiwoaTawEFgCLI6IKUMJ1MzMBq9sTf6TwGuAZ4DTgAXAwYPYztsiYnMneDOzkVX2ZqingC8DX5Y0ChgXEf+qNDIzMxu2slfXnCppNUnjgBuBWyT9d8ltBPAHSbMkTWuw7mmSZkqaOX/+/PKRm5nZgMo212yaHxiyO3AB6cqavUsu+5aI2ALYCThQ0rbFiRExPSKmRMSUvr6+kqs0M7Myyib50ZJGk5L8+RHxHCWvromI+/PfecC5pEsxzcxsBJRN8j8DZgPjgEskTSKdfG1K0jhJ42vDwI7ATUML1czMBqvsidcfAT8qFN0j6W0lFl0LOFdSbVunRsSFg47SzMyGpFSSl7QW8G1gnYjYSdKmwJuA45otFxF3A68bdpRmZjYkZZtrTgB+D6yTx29ncNfJm5lZG5RN8hMiYgawFCAiFpPuYDUzsw5WNsk/KWkN8hU1krYG6vuyMTOzDlO275rPAOcDG0m6HOgD9qgsKjMza4myV9dcJ2k7YBNAwG35WnkzM+tgZWvytXb4myuMxczMWszPeDUz62FO8mZmPax0c42kdYFJxWUi4pIqgjIzs9Yoe8fr4cAHgVtYdn18AE7yZmYdrGxNfndgk4h4psJYzMysxcq2yd8NjK4yEDMza72yNfmngOsl/Zn0nFcAIuKgSqIyM7OWKJvkz88vMzPrImXveD1R0hjglbnId7yamXWBslfXbA+cSHo6lID1JX3El1CamXW2ss01RwA7RsRtAJJeCZwGvKGqwMzMbPhKP8i7luABIuJ2fLWNmVnHK1uTnynpWODkPP4hYGY1IZmZWauUTfIHAAcCtUsmLwV+UklEZmbWMmWT/IrADyPiSABJo4CVyiyY550J3B8RuwwpSjMzG5KybfJ/BsYWxscCfyq57KeAWwcTlJmZtUbZJL9yRCyqjeThVQZaSNJ6wM7AsUMLz8zMhmMwD/LeojYi6Q3A0yWW+wHweWBpfzNImiZppqSZ8+fPLxmOmZmVUbZN/mDgTEkPkG6Gejmp6+F+SdoFmBcRs/LNVA1FxHRgOsCUKVOiZDxmZlZC2W4NrpX0KtKDvKFctwbbAO+V9B5gZWA1SSdHxF5DD9fMzAaj9OP/IuK5iLgpvwbstyYivhgR60XEZGBP4C9O8GZmI8vPeDUz62Gln/E6HBFxMXDxSGzLzMyWKVWTl7SNpHF5eC9JR0qaVG1oZmY2XGWba44BnpL0OuCzwF3ASZVFZWZmLVE2yS+OiAB2A46OiB8D46sLy8zMWqFsm/xCSV8E9gbeKmkF3NWwmVnHK1uT/yDpAd4fi4gHgfWA71UWlZmZtUSpJJ8T+9ks63nyYeDcqoIyM7PWKHt1zX8BZwE/y0XrAudVFJOZmbVI2eaaA0ndFCwAiIg7gDWrCsrMzFqjbJJ/JiKerY1IWhFwZ2JmZh2ubJL/q6QvAWMlvRM4E/h1dWGZmVkrlE3yhwDzgRuB/YHfAV+pKigzM2uNsl0NLwV+nl9mZtYlSiV5SdsAhwKT8jICIiI2rC40MzMbrrJ3vB4HfBqYBSypLhwzM2ulskn+iYi4oNJIzMys5com+YskfQ84h9S9AQARcV0lUZmZWUuUTfJb5b9TCmUBvL214ZiZWSuVvbrmbVUHYmZmrVe275q1JB0n6YI8vqmkfasNzczMhqvfJJ8f8/fyPHoC8HtgnTx+O3BwpZGZmdmwNavJ/xk4Mg9PiIgZwFKAiFiML6U0M+t4/Sb5iJgLHJBHn5S0BrlTMklbA08MtHJJK0u6RtINkm6W9PVWBG1mZuU0PfEaEbVE/hngfGAjSZcDfcAeJdb/DPD2iFgkaTRwmaQLIuKq4QRtZmbllL265jpJ2wGbkLo0uC0iniuxXACL8ujo/HIXxWZmI6Rs3zXvqyt6paQngBsjYt4Ay44idYewMfDjiLi6bvo0YBrAxIkTy8ZtZmYllL0Zal/gTcBFeXx7UuLeQNI3IuKX/S0YEUuAzSWtDpwrabOIuKkwfTowHWDKlCmu5ZuZtVDZ/uRXBF4dEe+PiPcDm5KaXbYCvlBmBRHxOOlL4t1DiNPMzIagbJJfPyIeKozPy2WPAv22zUvqyzV4JI0F3gn8Y4ixmpnZIJVtrrlY0m9Ij/0DeH8uGwc83mS5tYETc7v8CsCMiPjNUIM1M7PBKZvkDyQl9m3y+EnA2fnqmX77tYmIvwOvH1aEZmY2ZGUvoQzgrPwyM7MuUbaDsq0lXStpkaRnJS2RtKDq4MzMbHjKnng9GpgK3AGMBfYDflxVUGZm1hplkzwRcScwKiKWRMTx+FJIM7OOV/bE61OSxgDXS/ouMJdBfEGYmVl7lE3UewOjgE8ATwLrk662MTOzDlb26pp78uDTgLsLNjPrEmWvrtlF0t8kPSppgaSFvrrGzKzzlW2T/wHwPlKvk+5EzMysS5Rtk58D3OQEb2bWXcrW5D8P/E7SX0lPewIgIo7sfxEzM2u3skn+MNITnlYGxlQXjpmZtVLZJL9ORGxWaSRmZtZyZdvkfydpx0ojMTOzliub5A8ALpT0tC+hNDPrHmVvhhpfdSBmZtZ6TZO8pFdFxD8kbdFoekRcV01YZmbWCgPV5D8DTAOOaDAtgLe3PCIzM2uZpkk+Iqblv/0+4s/MzDqXuws2M+thlSV5SetLukjSLZJulvSpqrZlZmaNlb0ZaigWA5+NiOskjQdmSfpjRNxS4TbNzKygbFfDkrSXpK/m8YmStmy2TETMrV19ExELgVuBdYcbsJmZlVe2ueYnwJtID/MGWMggHuQtaTLweuDqwQRnZmbDU7a5ZquI2ELS3wAi4rH8zNcBSVoVOBs4OCJecJespGmkyzSZOHFiyXA6y+RDftuW7c7+zs5t2a6ZdY+yNfnnJI0iXRuPpD5g6UALSRpNSvCnRMQ5jeaJiOkRMSUipvT19ZUMx8zMyiib5H8EnAusKekw4DLg280WkCTgOOBW9ztvZtYeZfuuOUXSLGAHQMDuEXHrAIttA+wN3Cjp+lz2pYj43VCDNTOzwRmo75qXFUbnAacVp0XEo/0tGxGXkb4QzMysTQaqyc8itcMLmAg8lodXB+4FNqgyODMzG56mbfIRsUFEbAj8Cdg1IiZExBrALsAfRiJAMzMburInXrcutqVHxAXAm6sJyczMWqXsdfIPSPoKcHIe/xDwQDUhmZlZq5StyU8F+kiXUZ6Th6c2XcLMzNqu7CWUjwLuRdLMrMu4P3kzsx7mJG9m1sOc5M3MeljZ/uTXk3SupPmS5kk6W9J6VQdnZmbDU7YmfzxwPrA2sA7w61xmZmYdrGyS74uI4yNicX6dQLqM0szMOljZJP9IfvzfqPzaC3ikysDMzGz4yib5jwEfAB4E5gJ7AB+tKigzM2uNsjdD3QO8t+JYzMysxQbqT/6rTSZHRHyzxfGYmVkLDVSTf7JB2ThgX2ANwEnezKyDNU3yEXFEbVjSeFL/NR8FTgeO6G85MzPrDAO2yedHAH6G1L3wicAWEfFY1YGZmdnwDdQm/z3gfcB04N8iYtGIRGVmZi0x0CWUnyXd4foV0oNDFuTXQkkLqg/PzMyGY6A2+WF1YCbpF6Tnwc6LiM2Gsy4zMxu8qnuhPAF4d8XbMDOzflSa5CPiEuDRKrdhZmb9K/sg78pImgZMA5g4cWKbozGzF7PJh/y2bdue/Z2dK1lv2x8aEhHTI2JKREzp63PHlmZmrdT2JG9mZtVxkjcz62GVJnlJpwFXAptIuk/SvlVuz8zMllfpideImFrl+s3MrDk315iZ9TAneTOzHuYkb2bWw5zkzcx6mJO8mVkPc5I3M+thTvJmZj3MSd7MrIc5yZuZ9TAneTOzHuYkb2bWw5zkzcx6mJO8mVkPc5I3M+thTvJmZj3MSd7MrIc5yZuZ9TAneTOzHuYkb2bWw5zkzcx6mJO8mVkPqzTJS3q3pNsk3SnpkCq3ZWZmL1RZkpc0CvgxsBOwKTBV0qZVbc/MzF6oypr8lsCdEXF3RDwLnA7sVuH2zMyszooVrntdYE5h/D5gq/qZJE0DpuXRRZJuG+R2JgAPDynCkVNJjDq8pat70e7HFnOMrfGii3GYn+dJ/U2oMsmXEhHTgelDXV7SzIiY0sKQWs4xtoZjbA3H2BrdECNU21xzP7B+YXy9XGZmZiOkyiR/LfAKSRtIGgPsCZxf4fbMzKxOZc01EbFY0ieA3wOjgF9ExM0VbGrITT0jyDG2hmNsDcfYGt0QI4qIdsdgZmYV8R2vZmY9zEnezKyHdW2S75YuEyTNlnSjpOslzWx3PACSfiFpnqSbCmUvk/RHSXfkvy/twBgPlXR/3pfXS3pPm2NcX9JFkm6RdLOkT+XyjtmXTWLsmH0paWVJ10i6Icf49Vy+gaSr82f8jHwBR6fFeIKkfxb24+btirFfEdF1L9KJ3LuADYExwA3Apu2Oq59YZwMT2h1HXUzbAlsANxXKvgsckocPAQ7vwBgPBT7X7v1XiGdtYIs8PB64ndSFR8fsyyYxdsy+BASsmodHA1cDWwMzgD1z+U+BAzowxhOAPdq9D5u9urUm7y4ThiEiLgEerSveDTgxD58I7D6SMdXrJ8aOEhFzI+K6PLwQuJV0p3fH7MsmMXaMSBbl0dH5FcDbgbNyebv3Y38xdrxuTfKNukzoqAO3IIA/SJqVu3DoVGtFxNw8/CCwVjuDaeITkv6em3Pa2qRUJGky8HpSDa8j92VdjNBB+1LSKEnXA/OAP5J+qT8eEYvzLG3/jNfHGBG1/XhY3o9HSVqpfRE21q1Jvpu8JSK2IPXGeaCkbdsd0EAi/SbtxFrKMcBGwObAXOCItkaTSVoVOBs4OCIWFKd1yr5sEGNH7cuIWBIRm5PujN8SeFU742mkPkZJmwFfJMX6RuBlwBfaF2Fj3Zrku6bLhIi4P/+dB5xLOoA70UOS1gbIf+e1OZ4XiIiH8gdtKfBzOmBfShpNSp6nRMQ5ubij9mWjGDtxXwJExOPARcCbgNUl1W7Y7JjPeCHGd+fmsIiIZ4Dj6ZD9WNStSb4rukyQNE7S+NowsCNwU/Ol2uZ84CN5+CPAr9oYS0O1xJn9O23el5IEHAfcGhFHFiZ1zL7sL8ZO2peS+iStnofHAu8knTu4CNgjz9bu/dgoxn8UvsxFOmfQcZ/vrr3jNV/y9QOWdZlwWHsjeiFJG5Jq75C6kDi1E+KUdBqwPamr1IeArwHnka5mmAjcA3wgItp24rOfGLcnNS8E6aql/Qtt3yNO0luAS4EbgaW5+EukNu+O2JdNYpxKh+xLSa8lnVgdRap4zoiIb+TPz+mkZpC/AXvlGnMnxfgXoI909c31wMcLJ2g7QtcmeTMzG1i3NteYmVkJTvJmZj3MSd7MrIc5yZuZ9TAneTOzHuYkb10l96j4rrqygyUd02SZiyUN+YHLDXoaPCiXz5Y0oTDf9pJ+o+ThWlcBktaWFPlyxtq88yWtkXuDDEkb1/0/MZyYzWqc5K3bnEa6+a1oz1zeEpJGNSj+74jYPL9+1Gz53JXBVaS7NgHeTLrO+815/ZsAj0TEI3n6jSz/P/0HUMWjMu1FyEneus1ZwM61vsVzp1vrAJdKOkbSzGJ/3/UkTVXq3/8mSYcXyhdJOkLSDSxLzsNxBTmp579HsXzSv7ww73nkXlQlbQQ8ATzcghjMnOStu+Q7R68hdfgGqQY8I9eevxwRU4DXAtvluxSfJ2kd4HBSF7abA2+UtHuePA64OiJeFxGXNdj09wrNNf9WKL+oVg4cWyi/nGVJfkvSnc+1/pbeTPoSqFkAzMkdXu0JnDHwnjArx0neulGxyabYVPMBSdeRmkZeQ3o4RtEbgYsjYn7uwvYU0sNJAJaQOvHqT7G55sZC+dtq5cB+hfJrgdfnPotG51vd785t7/U1eUi37+9J6v/kXMxaxEneutGvgB0kbQGsEhGzJG0AfA7YISJeC/wWWHkQ6/xXRCxpVYAR8RRwB/Ax4LpcfBXwHmBN4La6RX4D7A3cW99dsdlwOMlb18m14ouAX7CsFr8a8CTwhKS1WNacU3QNqRlnQj65OhX4a4WhXgEcDFyZx68EPgVcFXWdRuUvhS8Abe/AznqLk7x1q9OA1+W/RMQNpGaafwCn8sLmEHIvi4eQviBuAGZFRJXd115Oeg5xLclfR+oX/YpGM0fE6bVH9Zm1inuhNDPrYa7Jm5n1MCd5M7Me5iRvZtbDnOTNzHqYk7yZWQ9zkjcz62FO8mZmPez/AE+QnplmzLO4AAAAAElFTkSuQmCC\n", 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] @@ -2295,17 +2327,16 @@ "name": "stdout", "output_type": "stream", "text": [ - "[2.34526524e+00 2.36907806e+00 5.70951535e+00 1.57784083e+01\n", - " 3.04832555e+00 2.01405321e+00 4.69889038e+00 2.70286332e+03\n", - " 2.92399127e+00 2.65277758e+00]\n", - "809.4837036404556\n", - "274.4403620593375\n", - "2.9861584086736674\n" + "[2.34526526 2.36907806 5.70951535 2.23973043 3.04832555 2.01406038\n", + " 4.69889366 2.99146836 2.92399127 2.65277758]\n", + "1.124040162412368\n", + "3.0993105893913597\n", + "2.7883844225138326\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] @@ -2336,7 +2367,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Para el canal azul\n", + "# Ajuste de gaussiana para imagen: canal azul\n", "Para extraer el canal azul, usamos todas las filas, todas las columnas, pero solo el último de los tres canales\n", "<br> $img[:,:,2]$" ] @@ -2911,6 +2942,14 @@ "determinar(str_10b,p0,FWHM_xb,FWHM_yb)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Los valores para el Full Width at Half Maximum (FHWM)\n", + "Considere el valor en dirección x & en dirección y. Saque la desviación estándar, el promedio, la mediana y el histograma" + ] + }, { "cell_type": "code", "execution_count": 62, @@ -3017,9 +3056,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "1.2025192371430922 1.1372820062135576 10.481330153305512 1.3018950466931847\n", - "2.936964690381042 2.8341979943625044 6.19554781582665 2.9826105946190706\n", - "2.5282582730707905 2.463149381278507 2.5132694458445393 2.517525641845777\n" + "1.2025192371430922 1.1372820062135576 1.1920847689204435 1.3018950466931847\n", + "2.936964690381042 2.8341979943625044 2.824878448558046 2.9826105946190706\n", + "2.5282582730707905 2.463149381278507 2.4248660798025896 2.517525641845777\n" ] } ], @@ -3029,6 +3068,27 @@ "print(medianx,medianxr,medianxg,medianxb)" ] }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.1646255434323523 1.0760536200525121 1.124040162412368 1.2195655968098804\n", + "3.056098753225378 3.1061821513502625 3.0993105893913597 3.1088833661340964\n", + "2.528567342321698 2.816983594395095 2.7883844225138326 2.607229344995009\n" + ] + } + ], + "source": [ + "print(stdy,stdyr,stdyg,stdyb)\n", + "print(meany,meanyr,meanyg,meanyb)\n", + "print(mediany,medianyr,medianyg,medianyb)" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -3047,12 +3107,10 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Para la escala de grises y cada uno de los canales, en algunas estrellas debà cambiar el punto inicial p0 para que la gaussiana fuera mas apropiada. También, elegà los valores de p0 de tal manera que los valores de sigma_x y sigma_y fueran siempre positivos.\n", - "\n", + "Para la escala de grises y cada uno de los canales, en algunas estrellas, y para cada canal, debà cambiar el punto inicial p0 para que la gaussiana fuera mas apropiada. También, elegà los valores de p0 de tal manera que los valores de sigma_x y sigma_y fueran siempre positivos.\n", "\n", - "El valor para el FWHM si cambia dependiendo del canal del que se parta para hacer el ajuste. Mirando los valores de la desviación estándar y el promedio, el canal que arroja valores mas diferentes es el canal verde; sin embargo, el valor de la mediana para los cuatro casos se mantiene.\n", "\n", - "La diferencia con el canal verde, solo puedo imaginar que es debido a que hay mas verde (el doble) que de azul y rojo: [Matriz RGB (Bayer)](https://3lentes.com/wp-content/uploads/2015/08/jdjd.png) y eso afecta de alguna forma como se ajusta la gaussiana." + "El valor para el FWHM si cambia dependiendo del canal del que se parta para hacer el ajuste. Mirando los valores de la desviación estándar, el promedio y la mediana se ve que hay diferencias, sin embargo, los valores podrian considerarse como iguales para los cuatro casos. Igual teniendo en cuenta que el valor inicial p0 para cada estrella debio ser modificado para cada canal." ] }, {