{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# 画像データに対する解析\n",
        "\n",
        "### データ読み込み\n",
        "\n",
        "以下のようなグレースケール画像 `toymodel.png` を解析してみましょう。\n",
        "\n",
        "<a href=\"https://psiclone.tfda.jp/asset/images/toymodel.png\" target=\"_blank\">\n",
        "<img src=\"https://psiclone.tfda.jp/asset/images/toymodel.png\" alt=\"toymodel.png\" width=\"300\">\n",
        "</a>\n",
        "\n",
        "画像を `cv2` (OpenCV) を使って NumPy 配列として読み込みます."
      ],
      "id": "f679d350-cf7d-4a96-a6aa-a211147d12a9"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import urllib.request\n",
        "\n",
        "# 画像をダウンロードしてローカルファイルに保存する\n",
        "with urllib.request.urlopen(\"https://psiclone.tfda.jp/asset/images/toymodel.png\") as web_file:\n",
        "    with open(\"toymodel.png\", \"wb\") as local_file:\n",
        "        local_file.write(web_file.read())"
      ],
      "id": "c077fd1c"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "import cv2\n",
        "import numpy as np\n",
        "\n",
        "image_file_path = \"./toymodel.png\"\n",
        "levels = np.array(cv2.imread(image_file_path, cv2.IMREAD_GRAYSCALE), dtype=np.float64)"
      ],
      "id": "001bdf43"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "`levels` を `psiclone` のデータ構造として読み込みます."
      ],
      "id": "953eca24-8c5b-4a2b-8cce-7fcc2a103e9a"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "import psiclone.data\n",
        "\n",
        "img = psiclone.data.GrayscaleImage(levels)"
      ],
      "id": "3401b59d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "読み込んだ `img` を描画して,正しく読み込めているかを確認しましょう."
      ],
      "id": "10cc5b94-a56f-4542-88e5-0e71dece18ee"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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tFACNQcDNAOikAACMGgDweQB1u0cFUOQcMgLqu1+3U4+VMQSIKqD7heL+bWiJ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vlVXx/xV5dGCJwheA52P2oAmEZAYwDYY/rkf/dcaQsVGdtsjD8g/9P3LYqPYyxGJP3Zx8ZgTRS1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\nJH/+Wgv2M9JjYxAzx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zx0dIzec50x5VWN87dk/DvLr3Kx6JAsbMf9ieTMTT1jJWvqMQuz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\nAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "\n",
        "import psiclone.visualization as vis\n",
        "\n",
        "vis.draw_geometry(\n",
        "    img,\n",
        "    bitmap=True,\n",
        ")\n",
        "plt.colorbar()"
      ],
      "id": "9bc3aed1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### 入力データのCOT表現への変換\n",
        "\n",
        "読み込んだimgを解析して,partially Cyclically Ordered rooted Tree (COT)\n",
        "表現を計算してみましょう.</br> これは,`psiclone.psi2tree.Psi2tree`\n",
        "クラスを使います.</br>\n",
        "入力データによってはここで非常に時間がかかるため,適切なノイズ除去閾値\n",
        "`threshold` を設定する必要がある場合があります.</br>\n",
        "時間がかかりすぎる場合(他には結果の COT\n",
        "表現が必要以上に細かい場合など)には,`threshold`\n",
        "をスケールに応じて1.0や10などに上げてください."
      ],
      "id": "17905869-fd60-4a25-ae4c-7085f05c38c4"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "from psiclone.psi2tree import Psi2tree\n",
        "\n",
        "psi2tree = Psi2tree(img, threshold=0)\n",
        "psi2tree.compute()"
      ],
      "id": "9ec671dd"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "COT表現への変換計算後, 計算結果を get_tree メソッドで取得します.</br>\n",
        "`get_tree` で取得できる木構造データを,さらに `convert`\n",
        "メソッドを用いて,人が読みやすい形式に変換します."
      ],
      "id": "74cd1a1f-68f0-418b-a123-d8981c5d0557"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/plain": [
              "'a0(a-(b--{s-,s-}).a+(s+))'"
            ]
          }
        }
      ],
      "source": [
        "from psiclone.cot import to_str\n",
        "\n",
        "psi2tree.get_tree().convert(to_str)"
      ],
      "id": "d2ae5ad1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "`convert` メソッドに以下のいずれかを与えることで COT\n",
        "表現を様々な出力形式へと変換できます.\n",
        "\n",
        "-   `psiclone.cot.to_str`\n",
        "    -   ギリシャ文字などを含まない簡易 ASCII フォーマットへ変換します\n",
        "-   `psiclone.cot.to_short_str`\n",
        "    -   `psiclone.cot.to_str`\n",
        "        と同様ですが,情報を失わない範囲で冗長な記号を省略します\n",
        "-   `psiclone.cot.to_tex`\n",
        "    -   TeX\n",
        "        形式で正しい添字やギリシャ文字によるラベル付けをした形式へ変換します\n",
        "-   `psiclone.cot.to_short_tex`\n",
        "    -   `psiclone.cot.to_tex`\n",
        "        と同様ですが,情報を失わない範囲で冗長な記号を省略します\n",
        "\n",
        "`convert`\n",
        "に渡す関数を変えることで再帰的な変換をカスタマイズすることも可能です."
      ],
      "id": "9be3e340-be1d-4b31-b237-1c7fb7eba9bf"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "a0(a-(b--).a+)\n",
            "a_\\emptyset(a_-(b_{--})\\cdot a_+)"
          ]
        }
      ],
      "source": [
        "from IPython.display import Math, display\n",
        "\n",
        "from psiclone.cot import to_short_str, to_short_tex\n",
        "\n",
        "cot_tree = psi2tree.get_tree()\n",
        "print(cot_tree.convert(to_short_str))\n",
        "print(cot_tree.convert(to_short_tex))\n",
        "display(Math(cot_tree.convert(to_short_tex)))"
      ],
      "id": "29b3bae8"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### 結果の可視化\n",
        "\n",
        "入力データ (levels)・等高線図・レーブグラフ・COT\n",
        "表現を重ねて描いてみましょう."
      ],
      "id": "7f4fd4c1-e433-49ff-bcc5-eaa1e27c0ba8"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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jfo23xI/717H3SwO05bcGHTAEgCcefSCqm2APWEs5SYalJMs8dNUFFli+GQ+W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rabZl1qBy8DpyUpXQZ+uJ8KqJaKL2vuwoVIGn9Iad+wAAMvv+xVjyDARjGwbXVQTa3Tz+w4H7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\nYRiGYVzAjpJhGIZhXMCOkmEYhmFc8P8A6/4Ql48wvAAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "# 0. 画像解像度の設定\n",
        "plt.rcParams[\"figure.figsize\"] = [5, 5]\n",
        "plt.rcParams[\"figure.dpi\"] = 100\n",
        "\n",
        "# 1. 画像上部に COT 表現を表示\n",
        "plt.title(f\"${psi2tree.get_tree().convert(to_short_tex)}$\")\n",
        "\n",
        "# 2. 入力データ (levels) と等高線図を描画\n",
        "y = list(range(levels.shape[0]))\n",
        "x = list(range(levels.shape[1]))\n",
        "plt.imshow(levels, cmap=\"coolwarm\", origin=\"lower\", extent=[np.amin(x), np.amax(x), np.amin(y), np.amax(y)])\n",
        "plt.contour(x, y, levels, colors=\"k\")\n",
        "\n",
        "# 3. レーブグラフと COT 表現を図に重ね描き\n",
        "vis.draw_graph_markers(psi2tree, lw=2, edge_color=\"y-\", node_color=\"g*\")\n",
        "vis.draw_COT_labels(psi2tree, fontsize=16)"
      ],
      "id": "ea4dc790"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### 分割の可視化\n",
        "\n",
        "数学的には,レーブグラフは同値関係による商空間として定まります.</br>\n",
        "`psiclone`\n",
        "で用いられているアルゴリズムでも,同値関係に基づく空間の分割が得られます.</br>\n",
        "分割を可視化するには,`psiclone.visualization.draw_partition`\n",
        "関数が便利です.</br> これを見ると,レーブグラフを通して `psiclone`\n",
        "がどのように流線トポロジーを把握しているかがなんとなく分かります."
      ],
      "id": "904a039f-101b-419a-b338-82fb1628c61b"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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PZ555BvHx8ZgzZw6Argr0rrvuErtsL1++jMLCQsybN8+tEa9ERERKUTwob7vt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\n"
          }
        }
      ],
      "source": [
        "plt.rcParams[\"figure.figsize\"] = [5, 5]\n",
        "plt.rcParams[\"figure.dpi\"] = 100\n",
        "vis.draw_partition(psi2tree, bitmap=True, discrete=True, cmap=\"tab20c\")"
      ],
      "id": "573e1903"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3 (ipykernel)",
      "language": "python",
      "path": "/opt/build/repo/.venv/share/jupyter/kernels/python3"
    },
    "language_info": {
      "name": "python",
      "codemirror_mode": {
        "name": "ipython",
        "version": "3"
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.12.3"
    }
  }
}