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@engyasin
Created January 20, 2016 18:59
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Documents/myPythonFiles/my_notebooks/Lesson_22.ipynb
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# مقدمة ل SIFT - تحويل الخصائص الغير متأثر بالقياس:\n\n### الهدف:\n\n** في هذا الفصل: **\n\n* سنتعلم مفهوم خوارزمية SIFT .\n\n* سنتعلم ايجاد نقاط SIFT وموصفاتها.\n\n### النظرية:"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "في ما مضى رأينا أن الخصائص تبقى كذلك وحتى بعد التدوير , اي انها لاتتأثر بالتدوير , ولكن بالنسبة لتغيير الحجم فقد لا يصح هذا أي أن الزاوية لاتبقى كذلك بعد التغيير , ومنه نقول أن مكتشفات هاريس متأثرة بالحجم.\n"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "ولذلك تم انشاء خوارزمية مناسبة لايجاد النقاط وفق هذه الحالة وهي SIFT وتتألف هذه الخوارزمية نظرياً من 4 مراحل:"
},
{
"metadata": {
"variables": {
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B/hnRfDVrM/mSRabZx2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EpLXwh+0D4kQfbfHHwv8AC8f/ADz03wvealJ/38nvIx/5DoAkH7BvgLT2/wCJRJ478NsRydG8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}
},
"cell_type": "markdown",
"source": "**#1. اكتشاف القيم العظمى للفضاء القياسي:**\n\nنلاحظ مما سبق أنه لا يمكننا استخدام نفس القناع لاكتشاف زوايا مختلفة بالحجم , ولذلك نلجأ لاستخدام لابلاسي الغاوسي LoG وذلك من أجل قيم مختلفة للقناع الغاوسي ل $\\sigma$ ومع تغيير قيمتها نكتشف الزوايا بالاحجام المختلفة , \n\nولكن هذه العملية مكلفة حسابياً لذلك نلجأ لاستخدام الفرق الغاوسي بخوارزمية SIFT والذي يعد أبسط ولكن يقوم بالمهمة وذلك عن طريق طرح المستويات في الهرم الغاوسي من أجل قيم ثمانية مختلفة لكل منها كما الصورة\n\n{{a}}\n\nوبعد ايجاد ما سبق DoG يتم البحث عن قيمة محلية عظمى وعلى المستويات المختلفة وفي حال وجودها تكون زاوية محتملة . \n\nوبالنظر لبارامترات مختلفة , تعطي الورقة بعض البيانات التجريبية لنتائج أفضل .\n\n**#2. تحديد النقاط للزوايا :**\n\nعندما نوجد النقاط المحتملة للزوايا , يجب تصفيتها لاستخلاص النقاط الاكثر احتمالاً ويتم هذا بمساعدة منشور تايلور , وذلك عبر عتبة معينة للقيم العظمى , وتدعى هذه العتبة **constrastThreshold ** .\n\nوبما أن DoG لديها حساسية للحواف لذلك يجب ازالتها حيث هنا يتم استخدام مفهوم مشابه لمكتشفات هاريس , وذلك بمصفوفة تقارن القيم الذاتية للنقاط , واذا كان الناتج أكبر من عتبة معينة تدعى **edgeThreshold ** في OpenCV فانه يتم شطب النقطة , ونموذجياً كانت 10 في الورقة الاصلية .\n\nولذلك بعد كل هذا فان ما يبقى هو النقاط المهمة القوية ."
},
{
"metadata": {
"collapsed": true
},
"cell_type": "markdown",
"source": "**#3 اسناد زواية دوران: **\n\nيتم اسناد قيم دوران للنقاط المكتشفة , بأخذ جوار محدد والطويلة والاتجاه تحسب لاجله , والزاوية تحدد بهستوغرام له 36 قطباً والذروة الاعلى تمثل الاتجاه , وكذلك اي ذروة تمثل بنسبة أكبر من 80% منها تعتبر نقطة مضاعفة بنفس المكان والحجم .\n\n**#4 موصفات النقاط : **\n\nوهنا يتم انشاء الموصفات وهي بحجم 16X16 حول النقطة . ويتم تقسيمها ل 16 مربع فرعي بحجم 4 X 4 . ولكل منها هناك هستوغرام ب 8 أقطاب للدوران , ومنه يوجد 128 قطباً للقناع الكلي . تمثل كلها كشعاع يعطي الموصف بالاضافة لقياسات أخرى تعطيه تمثيلاً ثابتاً مع تغيرات الاضاءة والدوران.\n\n**#5 مطابقة النقاط : **\n\nلمطابقة الخصائص بين صورتين يتم اخذ الجوار لكل منهما . ولكن ببعض الحالات قد يكون هناك مطابقان اثنان قريبان لبعضهما , وهذا قد يحدث نتيجة الضجيج , وهنا نأخذ نسبة المسافة الاقرب لكل منهما عن النقطة المراد مطابقتها , فاذا كانت أكبر من 0.8 عندها نرفض النتيجة , وهذا يزيل 90 % من النتائج الخاطئة حسب الورقة .\n"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "هذه هي خلاصة الخوارزمية ولتفاصيل أكثر يمكن العودة للورقة الاصلية , \n\nتذكر هذه الخوارزمية لها حقوق نشر , لذلك هي بالقسم الغير مجاني من OpenCV."
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### SIFT في OpenCV:\n\nولنرى التطبيق في OpenCV , اولاً علينا بناء جسم SIFT . لنرسم النقاط ونكتشفها . بمكننا تمرير بارامترات كثيرة له , كيفية ومشروحة جيداً في التوثيق.\n"
},
{
"metadata": {
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "import cv2\nimport numpy as np\nfrom matplotlib import pyplot as plt\n\n%matplotlib inline\n\nimg = cv2.imread('wt.jpg')\n# for matplotlib\nimg= cv2.cvtColor(img,cv2.COLOR_BGR2RGB)\ngray= cv2.cvtColor(img,cv2.COLOR_BGR2GRAY)\n\n# Build SIFT\nsift = cv2.SIFT()\nkp = sift.detect(gray,None)\n\nres_img=cv2.drawKeypoints(gray,kp)",
"execution_count": 7,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "**sift.detect ** يوجد النقاط بالصورة ويمكن تمرير قناع له لمنطفة محددة , \n\nوكل نقطة هي تركيب خاص له خصائص مثل احداثياته , حجم الجوار ذو المعنى , الزاوية , الاستجابة المحددة و لقوة النقطة .\n\nولدى OpenCV تابع **cv2.drawKeypoints ** ,والذي يرسم دوائر صغيرة حول الخصائص وفي حال مررنا له العلم , ** cv2.DRAW_MATCHES_FLAGS_DRAW_RICH_KEYPOINTS ** سيرسم دوائر متناسبة مع القوة وبالاتجاه للخاصية . , انظر للمثال التالي , وقارن:"
},
{
"metadata": {
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "plt.figure(figsize=(8,16))\nplt.imshow(res_img)\nplt.xticks([])\nplt.yticks([])\nplt.title('Ordinary Points')\nplt.show()\n\nres2_img=cv2.drawKeypoints(\n gray,kp,flags=cv2.DRAW_MATCHES_FLAGS_DRAW_RICH_KEYPOINTS)\n\nplt.figure(figsize=(8,16))\nplt.imshow(res2_img)\nplt.xticks([])\nplt.yticks([])\nplt.title('More Clarity Points')\nplt.show()\n",
"execution_count": 10,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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2iclBGwNTIcTswENim56x0zF0AY2iqMU1thB4gOsv87EMszJU6XVym+puzvT3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WAAAC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\nTkSuQmCC\n",
"text/plain": "<matplotlib.figure.Figure at 0x86d70d0>"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"image/png": 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5i+RKs4qGBwSz5Qu31lZbzM9NJ5SKBjPlOJ08qKIR6ruvrUvNaqEF8yogOyCo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"text/plain": "<matplotlib.figure.Figure at 0x8ad4d10>"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "الان لحساب الموصفات , هناك طريقتان في OpenCV :\n\n1. بما أننا أوجدنا مسبقاً النقاط , يمكننا استدعاء **sift.compute ** والذي يحسب الموصفات من النقاط التي أوجدناها , مثلاً : `kp,des=dift.compute(gray,kp)o`\n\n2. إذا لم توجد النقاط , مباشرة أوجد النقاط والموصفات بتابع واحد بخطوة واحدة بالتابع , **sift.detectAndCompute ** \n\nوكمثال للطريقة الثانية نكتب:"
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "sift = cv2.SIFT()\nkp, des = sift.detectAndCompute(gray,None)",
"execution_count": 11,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "وهنا kp ستكون قائمة من النقاط و des هي مصفوفة numpy من الشكل : عدد النقاط X128 .\n\nوالان الخطوة التالية هي مطابقة الخصائص و الموصفات , وهذا سيأتي بفصول لاحقة .\n\n### مراجع إضافية :\n\n### تمارين:\n"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# مقدمة ل SURF - الخصائص القوية المسرّعة :\n\n### الهدف :\n\n** في هذا الفصل **\n\n* سنرى أسس ال SURF.\n\n* سنرى فعاليات SURF في OpenCV.\n\n### النظرية :\n\n"
},
{
"metadata": {
"collapsed": true,
"variables": {
"b": "<img 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6X/ALBsP+fO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\nkH8Dyf7f+3T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}
},
"cell_type": "markdown",
"source": "في السابق رأينا اكتشاف الخصائص و الموصفاتفي SIFT ولكن بعض الناس تحتاج نسخة أكثر سرعة لهذا , ولذلك في 2006 قام ثلاثة باحثين بوضع خوارزمية أخرى وهي SURF الخصائص القوية المسرعة.\n\nحيث في SIFT ثم حساب LoG اما هنا فيتم التبسيط أكثر بحساب المرشح الصندوقي , المتوسط , للصورة , ومن حسناتها الكبيرة أن هذا المرشح يحسب بسهولة بوساطة مكاملة الصورة , ويمكن حسابه بشكل موازي ولقياسات مختلفة . وأيضاً تعتمد ال SURF على محدد مصفوفة الHussian لكل من الموضع والقياس\n\n{{b}}\n\nولحساب الاتجاه تعتمد ال SURF على كل من استجابات Wavlets في كل من الاتجاهين العامودي والافقي , وبجوار بحوالي 6 أضعاف القياس , ومن ثم يرسم الناتج كنقاط في الفضاء والكثافة الاعلى يتم أعتمادها كاتجاه مناسب للخاصية , وذلك عن طريق جمع الاستجابات بزاوية متغيرة بقيمة 60 درجة كل مرة .\n\nوالامر المثير أن استجابات wavelets يمكن ايجادها بسهولة بالغة , عند أي قياس . وللعديد من التطبيقات ثبات الاتجاه غير مطلوب , ولذلك لا داعي لايجاد الزاوية مما يسرع الخوارزمية , وتدعى هذه الصيغة U-SURF , وهي فعالة لحوالي +-15 . في OpenCV هناك علم يحدد هل نستخدمها 0 , أم لا 1.\n\n{{c}}\n"
},
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4JNj/OmY3Q4fB56V1lf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"source": "ولوصف الخصائص نستخدم الاستجابات السابقة بالاتجاهين العامودي و الافقي , ولذلك نأخذ جوار 20s X20s حيث s هي القياس , حول النقطة . وستقسم ل 4X4 مقطعاً . ولكل مقطع نأخذ الاستجابات ونشكل الشعاع : $v = (\\sum {d_x},\\sum {d_y},\\sum {\\lvert d_x \\rvert},\\sum {\\lvert d_y \\rvert}).$\n وهذا عند تمثيله كشعاع يعطي موصف ال SURF ب 64 بعداً وكلما قللناها حصلنا على سرعة أكثر ولكنت على حساب الدقة .\n \n ولدقة أكبر لدى SURF نمط أخر , نحسب فيه 128 بعداً للموصف , وهذا النمط يمثل في OpenCV بعلم يكون 0 ل 64 بعد أو 1 ل 128 بعد.\n \n وهناك تحسين آخر هو باستخدام إشارة اللابلاسيان , ( أثر مصفوفة هوسيان).\n وهذا لا يزيد التعقيد الحسابي بما أنه محسوب أصلاً أثناء الاكتشاف , وهذه الاشارة توضح الخلفيات العاتمة وراء الاجسام البيضاء أو الوضع المعاكس , وعند المطابقة نلاحظ أولاً وضع التباين البيني , وهذه المعلومة البسيطة تسرع الاداء بالمطابقة دون التأثير على أداء الموصف.\n \n {{d}}\n \n باختصار , فانSURF تعطي العديد من الميزات بكل مرحلة , حيث يظهر التحليل أنها أسرع بحوالي 3 مرات من SIFT بينما الاداء يقارن بال SIFT . \n \n وال SURF جيدة للصور المدورة والضبابية , ينما غير جيدة كثيراً للتعامل مع تغير ناحية الرؤية وتغيرات التألق.\n "
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