{ "cells": [ { "cell_type": "markdown", "id": "925cb362-2b6f-4375-9e18-22ae9c224f4b", "metadata": {}, "source": [ "# Eroded Otsu-labeling\n", "Segments and labels an image using blurring, Otsu-thresholding, binary erosion and\n", "masked Voronoi-labeling.\n", "\n", "After bluring and Otsu-thresholding the image, iterative binary erosion is applied.\n", "Objects in the eroded image are labeled and the labels are extended to fit again into\n", "the initial binary image using masked-Voronoi labeling.\n", "\n", "This function is similar to voronoi_otsu_labeling. It is intended to deal better in\n", "case labels of objects swapping into each other if objects are dense. Like when using\n", "Voronoi-Otsu-labeling, small objects may disappear when applying this operation.\n", "\n", "This function is inspired by a similar [implementation in Java](https://github.com/biovoxxel/bv3dbox/blob/9e38ed02cff606e7e8fbe57db0f6af810bf1a83a/BioVoxxel_3D_Box/src/main/java/de/biovoxxel/bv3dbox/plugins/BV_LabelSplitter.java#L83) by Jan Brocher (Biovoxxel) in the [Biovoxxel toolbox](https://zenodo.org/badge/latestdoi/434949702). Big thanks Jan!" ] }, { "cell_type": "code", "execution_count": 1, "id": "8d145bbd-da76-4b81-9355-82db031c1dfe", "metadata": {}, "outputs": [], "source": [ "from skimage.data import cells3d\n", "import pyclesperanto_prototype as cle" ] }, { "cell_type": "code", "execution_count": 2, "id": "eb4a2ea5-a362-426d-807a-f7bbb375fd4e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(60, 2, 256, 256)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "image = cells3d()\n", "image.shape" ] }, { "cell_type": "code", "execution_count": 3, "id": "997d3d15-f380-436d-b819-60f6b1ed8672", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "nuclei = image[30, 1]\n", "\n", "cle.imshow(nuclei)" ] }, { "cell_type": "code", "execution_count": 4, "id": "598aa36f-a3cd-443f-8165-2d88d7b0e0ba", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "labels = cle.eroded_otsu_labeling(nuclei, number_of_erosions=11, outline_sigma=4)\n", "\n", "cle.imshow(labels, labels=True)" ] }, { "cell_type": "markdown", "id": "f2e9b308-7955-49ba-9887-ad83fac8e505", "metadata": {}, "source": [ "## Parameter: number_of_erosions\n", "If the specified number of erosions is too small, sticky objects will be labeled together." ] }, { "cell_type": "code", "execution_count": 5, "id": "69e13d04-152f-4ee5-8dd5-4d8db331c4f9", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "labels = cle.eroded_otsu_labeling(nuclei, number_of_erosions=5, outline_sigma=4)\n", "\n", "cle.imshow(labels, labels=True)" ] }, { "cell_type": "markdown", "id": "607ac2f1-b594-4f82-98dc-27e305d8fe96", "metadata": {}, "source": [ "If too many erosions are configured, objects may disappear." ] }, { "cell_type": "code", "execution_count": 6, "id": "62b486af-235e-42be-9785-9009ff3df68a", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "labels = cle.eroded_otsu_labeling(nuclei, number_of_erosions=20, outline_sigma=4)\n", "\n", "cle.imshow(labels, labels=True)" ] }, { "cell_type": "markdown", "id": "83b2ece5-b769-4e42-858f-dc26ec06cfc0", "metadata": {}, "source": [ "## Parameter: outline_sigma\n", "With this outline, you can control the denoising before thresholding. If this value is too low, objects may have noisy edges and holes lead to more object-splits." ] }, { "cell_type": "code", "execution_count": 7, "id": "f3f28d92-1f8c-4a86-adb5-d0eb9fbc4eb7", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "labels = cle.eroded_otsu_labeling(nuclei, number_of_erosions=5, outline_sigma=1)\n", "\n", "cle.imshow(labels, labels=True)" ] }, { "cell_type": "markdown", "id": "a20547ce-b34d-4417-bc93-5ff4f0d4c763", "metadata": {}, "source": [ "If this value is too high, object outlines may be not fitting to the original objects anymore." ] }, { "cell_type": "code", "execution_count": 8, "id": "ab4de1df-5371-4f43-a699-39123c1ce007", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "labels = cle.eroded_otsu_labeling(nuclei, number_of_erosions=11, outline_sigma=10)\n", "\n", "cle.imshow(labels, labels=True)" ] }, { "cell_type": "markdown", "id": "6e203889-747c-44c7-8599-4c97a382fbf6", "metadata": {}, "source": [ "## Similar algorithm: Voronoi-Otsu-Labeling\n", "Voronoi-Otsu-Labeling is a similar algorithm. When you see labels swapping over in neighbor-objects when using it like shown below, you may want to give object-splitting-Otsu-labeling a try." ] }, { "cell_type": "code", "execution_count": 9, "id": "8631fd32-518d-41d0-a05f-83114f905a97", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "labels = cle.voronoi_otsu_labeling(nuclei, spot_sigma=10, outline_sigma=5)\n", "\n", "cle.imshow(labels, labels=True)" ] }, { "cell_type": "markdown", "id": "5c5beb80-ada5-437f-bee4-29f0e88869fa", "metadata": {}, "source": [ "## Documentation" ] }, { "cell_type": "code", "execution_count": 10, "id": "8b15698d-5eed-4bc4-a10c-dc59ecac8ddb", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\u001b[1;31mSignature:\u001b[0m\n", "\u001b[0mcle\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0meroded_otsu_labeling\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0mimage\u001b[0m\u001b[1;33m:\u001b[0m \u001b[0mUnion\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mnumpy\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mpyclesperanto_prototype\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_tier0\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_pycl\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mOCLArray\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mpyopencl\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_cl\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mImage\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mpyclesperanto_prototype\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_tier0\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_pycl\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_OCLImage\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0mlabels_destination\u001b[0m\u001b[1;33m:\u001b[0m \u001b[0mUnion\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mnumpy\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mpyclesperanto_prototype\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_tier0\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_pycl\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mOCLArray\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mpyopencl\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_cl\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mImage\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mpyclesperanto_prototype\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_tier0\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_pycl\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_OCLImage\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0mnumber_of_erosions\u001b[0m\u001b[1;33m:\u001b[0m \u001b[0mint\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;36m5\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m \u001b[0moutline_sigma\u001b[0m\u001b[1;33m:\u001b[0m \u001b[0mfloat\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;36m2\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\n", "\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;33m->\u001b[0m \u001b[0mUnion\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mnumpy\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mpyclesperanto_prototype\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_tier0\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_pycl\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mOCLArray\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mpyopencl\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_cl\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mImage\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mpyclesperanto_prototype\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_tier0\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_pycl\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_OCLImage\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mDocstring:\u001b[0m\n", "Segments and labels an image using blurring, Otsu-thresholding, binary erosion and\n", "masked Voronoi-labeling.\n", "\n", "After bluring and Otsu-thresholding the image, iterative binary erosion is applied.\n", "Objects in the eroded image are labeled and the labels are extended to fit again into\n", "the initial binary image using masked-Voronoi labeling.\n", "\n", "This function is similar to voronoi_otsu_labeling. It is intended to deal better in\n", "case labels of objects swapping into each other if objects are dense. Like when using\n", "Voronoi-Otsu-labeling, small objects may disappear when applying this operation.\n", "\n", "This function is inspired by a similar implementation in Java by Jan Brocher (Biovoxxel) [0] [1]\n", "\n", "Parameters\n", "----------\n", "image: Image\n", " intensity image\n", "labels_destination: Image, optional\n", " output label image\n", "number_of_erosions: int, optional\n", " Number of iterations for an erosion. This number must be smaller than the smallest radius\n", " of the objects to segment. If the radius is too high, objects may disappear.\n", "outline_sigma: float, optional\n", " Before thresholding, a Gaussian blur is applied using this sigma for smoothing the outline.\n", "\n", "Returns\n", "-------\n", "label_image: Image\n", "\u001b[1;31mFile:\u001b[0m c:\\structure\\code\\pyclesperanto_prototype\\pyclesperanto_prototype\\_tier9\\_eroded_otsu_labeling.py\n", "\u001b[1;31mType:\u001b[0m function\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cle.eroded_otsu_labeling?" ] }, { "cell_type": "code", "execution_count": null, "id": "1367d5fd-555a-4089-ae86-d1952bb9a3c1", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 5 }