OCR of Hand-written Data using SVM html
在kNN中,咱們直接使用像素強度做爲特徵向量。 此次咱們將使用方向梯度直方圖(HOG)做爲特徵向量。在計算HOG以前,使用其二階矩來校訂圖像:git
def deskew(img): m = cv2.moments(img) if abs(m['mu02']) < 1e-2: return img.copy() skew = m['mu11']/m['mu02'] M = np.float32([[1, skew, -0.5*SZ*skew], [0, 1, 0]]) img = cv2.warpAffine(img,M,(SZ, SZ),flags=affine_flags) return img
接下來,咱們必須找到每一個單元格的HOG描述符,爲此,咱們在X和Y方向上找到每一個單元的Sobel導數,而後在每一個像素處找到它們的大小和梯度方向,該梯度量化爲16個整數值,將此圖像分爲四個子方塊,對於每一個子平方,計算方向的直方圖(16個區間),用它們的大小加權,所以每一個子方格都會爲您提供一個包含16個值的向量,四個這樣的矢量(四個子方塊)一塊兒給出了包含64個值的特徵向量,這是咱們用來訓練數據的特徵向量。測試
def hog(img): gx = cv2.Sobel(img, cv2.CV_32F, 1, 0) gy = cv2.Sobel(img, cv2.CV_32F, 0, 1) mag, ang = cv2.cartToPolar(gx, gy) bins = np.int32(bin_n*ang/(2*np.pi)) # quantizing binvalues in (0...16) bin_cells = bins[:10,:10], bins[10:,:10], bins[:10,10:], bins[10:,10:] mag_cells = mag[:10,:10], mag[10:,:10], mag[:10,10:], mag[10:,10:] hists = [np.bincount(b.ravel(), m.ravel(), bin_n) for b, m in zip(bin_cells, mag_cells)] hist = np.hstack(hists) # hist is a 64 bit vector return hist
最後,與前一種狀況同樣,咱們首先將大數據集拆分爲單個單元格,對於每一個數字,保留250個單元用於訓練數據,剩餘的250個數據保留用於測試。大數據
import numpy as np import cv2 import matplotlib.pyplot as plt SZ=20 bin_n = 16 # Number of bins affine_flags = cv2.WARP_INVERSE_MAP|cv2.INTER_LINEAR def deskew(img): m = cv2.moments(img) if abs(m['mu02']) < 1e-2: return img.copy() skew = m['mu11']/m['mu02'] M = np.float32([[1, skew, -0.5*SZ*skew], [0, 1, 0]]) img = cv2.warpAffine(img,M,(SZ, SZ),flags=affine_flags) return img def hog(img): gx = cv2.Sobel(img, cv2.CV_32F, 1, 0) gy = cv2.Sobel(img, cv2.CV_32F, 0, 1) mag, ang = cv2.cartToPolar(gx, gy) bins = np.int32(bin_n*ang/(2*np.pi)) # quantizing binvalues in (0...16) bin_cells = bins[:10,:10], bins[10:,:10], bins[:10,10:], bins[10:,10:] mag_cells = mag[:10,:10], mag[10:,:10], mag[:10,10:], mag[10:,10:] hists = [np.bincount(b.ravel(), m.ravel(), bin_n) for b, m in zip(bin_cells, mag_cells)] hist = np.hstack(hists) # hist is a 64 bit vector return hist img = cv2.imread('digits.png',0) if img is None: raise Exception("we need the digits.png image from samples/data here !") cells = [np.hsplit(row,100) for row in np.vsplit(img,50)] # First half is trainData, remaining is testData train_cells = [ i[:50] for i in cells ] test_cells = [ i[50:] for i in cells] deskewed = [list(map(deskew,row)) for row in train_cells] hogdata = [list(map(hog,row)) for row in deskewed] trainData = np.float32(hogdata).reshape(-1,64) responses = np.repeat(np.arange(10),250)[:,np.newaxis] svm = cv2.ml.SVM_create() svm.setKernel(cv2.ml.SVM_LINEAR) svm.setType(cv2.ml.SVM_C_SVC) svm.setC(2.67) svm.setGamma(5.383) svm.train(trainData, cv2.ml.ROW_SAMPLE, responses) svm.save('svm_data.dat') deskewed = [list(map(deskew,row)) for row in test_cells] hogdata = [list(map(hog,row)) for row in deskewed] testData = np.float32(hogdata).reshape(-1,bin_n*4) result = svm.predict(testData)[1] mask = result==responses correct = np.count_nonzero(mask) print(correct*100.0/result.size)
輸出:93.8code