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@cy-xu
Created June 7, 2018 08:36
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# MAT 201A Homework 6\n",
"Chengyuan Xu, 18 Spring "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Read <https://en.wikipedia.org/wiki/Gray_code>\n",
"\n",
"- Download and watch the video named _graycode.mp4_ in the media folder. In your notebook, open this movie using the `cv2.VideoCapture(...)` function and use `imshow` (from matplotlib) to show us the first few frames. Now add some code that counts the number of frame in the video. Print that number."
]
},
{
"cell_type": "code",
"execution_count": 771,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n",
"OpenCV v3.3.1\n"
]
}
],
"source": [
"%pylab inline\n",
"# rcParams['figure.figsize'] = (20,10) #wide graphs by default\n",
"from __future__ import print_function\n",
"from __future__ import division\n",
"import cv2\n",
"print('OpenCV v' + cv2.__version__)\n",
"\n",
"params = {'legend.fontsize': 'x-large',\n",
" 'figure.figsize': (15, 10),\n",
" 'axes.labelsize': 'x-large',\n",
" 'axes.titlesize':'x-large',\n",
" 'xtick.labelsize':'x-large',\n",
" 'ytick.labelsize':'x-large'}\n",
"pylab.rcParams.update(params)\n",
"\n",
"def readGrey(cap):\n",
" ret, frame = cap.read()\n",
" frame = cv2.cvtColor(frame, cv2.COLOR_BGR2GRAY)\n",
" return ret, frame"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### load video file, pick a few images to spot the issues"
]
},
{
"cell_type": "code",
"execution_count": 772,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"FPS = 25.0 , total frame count = 2479.0\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x18581e3a58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"grayCode = '../../fromBox/notebook/media/graycode.mp4'\n",
"cap = cv2.VideoCapture(grayCode)\n",
"\n",
"fps = cap.get(cv2.CAP_PROP_FPS)\n",
"frameNum = cap.get(cv2.CAP_PROP_FRAME_COUNT)\n",
"print(\"FPS =\", fps, \", total frame count =\", frameNum)\n",
"\n",
"cap.set(1, 0);\n",
"ret, frame = readGrey(cap)\n",
"subplot(131)\n",
"imshow(frame, cmap='gray')\n",
"plt.axis('off')\n",
"\n",
"cap.set(1, 255);\n",
"ret, frame = readGrey(cap)\n",
"subplot(132)\n",
"imshow(frame, cmap='gray')\n",
"plt.axis('off')\n",
"plt.title('artificial noise')\n",
"\n",
"cap.set(1, 1152);\n",
"ret, frame = readGrey(cap)\n",
"subplot(133)\n",
"imshow(frame, cmap='gray')\n",
"plt.axis('off')\n",
"plt.title('variant brightness')\n",
"pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Each frame of the video shows the position of a large rotating wheel where the position is a 16-bit integer encoded using a reflected grey code spread diagonally across the image. Manually decode the position of the wheel for the seventh frame (i.e., the one labeled 0006). Do this in the notebook, showing the image, drawing the diagonal line, and using the `GrayToBinary(...)` function to calculate the position.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1. median filter"
]
},
{
"cell_type": "code",
"execution_count": 773,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5,1,'median filter')"
]
},
"execution_count": 773,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x185e70d828>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy import ndimage\n",
"\n",
"# decode the first image to get direction\n",
"\n",
"cap.set(1, 0);\n",
"ret, frame = readGrey(cap)\n",
"subplot(121)\n",
"imshow(frame, cmap='gray')\n",
"plt.axis('off')\n",
"plt.title('original in gray')\n",
"\n",
"# median filter\n",
"im_median = ndimage.median_filter(frame, size = 5, mode='nearest')\n",
"# im_max = ndimage.maximum_filter(frame, size = 5, mode='nearest')\n",
"subplot(122)\n",
"imshow(im_median, cmap='gray');\n",
"plt.axis('off')\n",
"plt.title('median filter')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2. closing vs. opening"
]
},
{
"cell_type": "code",
"execution_count": 774,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1864497358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"kernel = np.ones((5,5),np.uint8)\n",
"im_open = cv2.morphologyEx(im_median, cv2.MORPH_OPEN, kernel)\n",
"im_close = cv2.morphologyEx(im_median, cv2.MORPH_CLOSE, kernel)\n",
"\n",
"subplot(121)\n",
"imshow(im_close, cmap='gray');\n",
"plt.axis('off')\n",
"plt.title('close')\n",
"\n",
"subplot(122)\n",
"imshow(im_open, cmap='gray');\n",
"plt.axis('off')\n",
"plt.title('opening');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3. thresholding"
]
},
{
"cell_type": "code",
"execution_count": 775,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"mean is 73.17473090277778\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x186fe469b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t = mean(im_blur)\n",
"print('mean is', t)\n",
"\n",
"ret, im_open_thres = cv2.threshold(im_open, t, 255, cv2.THRESH_BINARY)\n",
"\n",
"subplot(121)\n",
"imshow(im_open_thres, cmap='gray');\n",
"plt.axis('off')\n",
"plt.title('opening, thresholding')\n",
"\n",
"# im_blur = cv2.GaussianBlur(im_open,(5,5), 0)\n",
"im_blur = cv2.bilateralFilter(im_open,5,75,75)\n",
"ret, im_blur_thres = cv2.threshold(im_blur, t, 255, cv2.THRESH_BINARY)\n",
"\n",
"subplot(122)\n",
"imshow(im_blur_thres, cmap='gray');\n",
"plt.axis('off')\n",
"plt.title('opening, bilateral filter blur and thresholding');\n",
"\n",
"# Otsu's thresholding after Gaussian filtering\n",
"# ret3, im_open_thres = cv2.threshold(im_blur, 0, 255, cv2.THRESH_BINARY+cv2.THRESH_OTSU)\n",
"# im_open_thres = cv2.adaptiveThreshold(blur,255,cv2.ADAPTIVE_THRESH_MEAN_C,\\\n",
"# cv2.THRESH_BINARY,25,1)\n",
"\n",
"# im_open_thres = cv2.adaptiveThreshold(im_open,255,cv2.ADAPTIVE_THRESH_MEAN_C,\\\n",
"# cv2.THRESH_BINARY,9,1)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 4. rotation & marking information points"
]
},
{
"cell_type": "code",
"execution_count": 777,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reading succesfully but not sure if accuracy affected by image processing\n",
"\n",
"[1 0 0 1 1 1 0 0 0 1 1 1 1 0 1 1]\n",
"[1 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1]\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x185806f940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# # histagarm normalization (not used)\n",
"\n",
"# def histeq(im,nbr_bins=256):\n",
"# #get image histogram\n",
"# imhist,bins = np.histogram(im.flatten(),nbr_bins,normed=True)\n",
"# cdf = imhist.cumsum() #cumulative distribution function\n",
"# cdf = 255 * cdf / cdf[-1] #normalize\n",
"# #use linear interpolation of cdf to find new pixel values\n",
"# im2 = np.interp(im.flatten(),bins[:-1],cdf)\n",
"# return im2.reshape(im.shape), cdf\n",
"\n",
"# im_norm, cdf = histeq(im_blur_thres, 256)\n",
"\n",
"# roatation\n",
"im_rotate = ndimage.rotate(im_blur_thres, 45, mode='constant')\n",
"\n",
"# length, half-height, and seperation\n",
"l = len(im_rotate)\n",
"h = 0.5 * l - 5\n",
"s = l / 22.5\n",
"\n",
"# mark the data points\n",
"imshow(im_rotate, cmap='gray')\n",
"plt.plot([0, l], [h, h])\n",
"plt.vlines([108 + x * s for x in range(16)], h-20, h+20, 'r')\n",
"plt.title('rotation');\n",
"\n",
"# read the data points\n",
"x_pos = np.array([100 + s * x for x in range(16)]).astype(int)\n",
"im_rotate[int(h), x_pos].tolist()\n",
"\n",
"forward = im_rotate[int(h), x_pos]\n",
"forward = where(forward > 128, 1 , 0)\n",
"\n",
"backward = im_rotate[int(h), x_pos][::-1]\n",
"backward = where(backward > 128, 1 , 0)\n",
"\n",
"print('Reading succesfully but not sure if accuracy affected by image processing\\n')\n",
"print(forward)\n",
"print(backward)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### define generic functions for later"
]
},
{
"cell_type": "code",
"execution_count": 778,
"metadata": {},
"outputs": [],
"source": [
"def BinaryToGray(num):\n",
" return num ^ (num >> 1)\n",
"\n",
"def GrayToBinary(num):\n",
" num = num ^ (num >> 16)\n",
" num = num ^ (num >> 8)\n",
" num = num ^ (num >> 4)\n",
" num = num ^ (num >> 2)\n",
" num = num ^ (num >> 1)\n",
" return num\n",
"\n",
"def toint(b):\n",
" total = 0\n",
" for n in range(len(b)):\n",
" total = total + 2**n * b[len(b) - 1 - n]\n",
" return total"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### find out what order should we interpretate data"
]
},
{
"cell_type": "code",
"execution_count": 779,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[1 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1]\n",
"56889\n",
"1101111000111001\n",
"758283925498697\n"
]
}
],
"source": [
"print(backward)\n",
"int_forward = toint(backward)\n",
"print(int_forward)\n",
"\n",
"aa = bin(int_forward)[2:]\n",
"aa = int(aa)\n",
"print(aa)\n",
"\n",
"bb = GrayToBinary(aa)\n",
"print(bb)\n",
"\n",
"# frame0_binary_forward = fromstring(frame0_binary_forward,dtype=int)\n",
"# # np.fromstring('1 2', , sep=' ')\n",
"# print(frame0_binary_forward)\n",
"\n",
"# type(frame0_binary_forward)\n",
"\n",
"# frame0_gray_int = BinaryToGray(frame0_binary_forward)\n",
"# print(frame0_gray_int)\n",
"\n",
"\n",
"# frame0_gray = GrayToBinary(frame0_binary_forward)\n",
"# print(frame0)\n",
"# print(frame0_gray)\n",
"\n",
"# firstNum = bin(16000)[2:]\n",
"# print(firstNum)\n",
"# firstNum = int(firstNum)\n",
"# firstNum = BinaryToGray(16000)\n",
"\n",
"# print(firstNum)\n",
"# start image of the disc\n",
"# position (converted)\n",
"# 16,000"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Watch the video again; This time, occasionally pause and make note of all the problems. Imagine that you had to write a program to calculate the position of the wheel for each frame of video. Characterize each phenomenon that might pose an obstacle to such a program, showing evidence of each in your notebook. Think: what aspects of the video are _not_ the data that encodes the position of the wheel?\n",
"\n",
"- Make a list of image transformations that we might use to clean, fix, reorganize, reconstitute, and _extract_ the data we need to decode the position of the wheel for any given frame. Name and describe each of these proposed transformations.\n",
"\n",
"**I believe my implementation earlier has answered most of these questions.**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Write a program that calculates the position of the wheel for each frame of the video. Plot the data with the frame number on the x axis and estimated position on the y axis."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"** All-in-one implementaion **"
]
},
{
"cell_type": "code",
"execution_count": 780,
"metadata": {},
"outputs": [],
"source": [
"# input is one image from cv2.VideoCapture()\n",
"# use this func in a for loop\n",
"\n",
"import cv2\n",
"from scipy import ndimage\n",
"\n",
"def img2bin(im):\n",
" im_gray = cv2.cvtColor(im, cv2.COLOR_BGR2GRAY)\n",
" im_median = ndimage.median_filter(im_gray, size = 5, mode='nearest')\n",
" im_open = cv2.morphologyEx(im_median, cv2.MORPH_OPEN, kernel)\n",
" im_blur = cv2.bilateralFilter(im_open,5,75,75)\n",
" ret, im_blur_thres = cv2.threshold(im_blur, t, 255, cv2.THRESH_BINARY)\n",
" im_rotate = ndimage.rotate(im_blur_thres, 45, mode='constant')\n",
"\n",
" # read the data points\n",
" l = len(im_rotate)\n",
" h = 0.5 * l - 5\n",
" s = l / 22.5\n",
" x_pos = np.array([100 + s * x for x in range(16)]).astype(int)\n",
" im_rotate[int(h), x_pos].tolist()\n",
"\n",
" forward = im_rotate[int(h), x_pos]\n",
" forward = where(forward > 128, 1 , 0)\n",
"\n",
" backward = im_rotate[int(h), x_pos][::-1]\n",
" backward = where(backward > 128, 1 , 0)\n",
" \n",
" return backward "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"def vid2bin(vid):\n",
" cap = cv2.VideoCapture(vid)\n",
" ret, frame = cap.read()\n",
" code = array(img2bin(frame))\n",
" while True:\n",
" code = np.vstack((code, img2bin(frame)))\n",
" ret, frame = cap.read()\n",
" if not cap.read():\n",
" break\n",
" return code"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# test\n",
"grayCode = '../../fromBox/notebook/media/graycode.mp4'\n",
"vid2bin(grayCode)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"print(code)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.6.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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