数学之路-python计算实战(9)-机器视觉-图像插值仿射

• 插值
• Python: cv2.resize(src, dsize[, dst[, fx[, fy[, interpolation]]]]) → dst
  
• interpolation –
  
  interpolation method:
• INTER_NEAREST - a nearest-neighbor interpolation
• INTER_LINEAR - a bilinear interpolation (used by default)
• INTER_AREA - resampling using pixel area relation. It may be a preferred method for image decimation, as it gives moire’-free results. But when the image is zoomed, it is similar to theINTER_NEAREST method.
• INTER_CUBIC - a bicubic interpolation over 4x4 pixel neighborhood
• INTER_LANCZOS4 - a Lanczos interpolation over 8x8 pixel neighborhood

# -*- coding: utf-8 -*-
import cv2

fn="test2.jpg"
img=cv2.imread(fn)
w=img.shape[1]
h=img.shape[0]  

#放大,双立方插值
newimg1=cv2.resize(img,(w*2,h*2),interpolation=cv2.INTER_CUBIC)
#放大, 近期邻插值
newimg2=cv2.resize(img,(w*2,h*2),interpolation=cv2.INTER_NEAREST)
#放大, 象素关系重採样
newimg3=cv2.resize(img,(w*2,h*2),interpolation=cv2.INTER_AREA)
#缩小, 象素关系重採样
newimg4=cv2.resize(img,(300,200),interpolation=cv2.INTER_AREA)

cv2.imshow(‘preview1‘,newimg1)
cv2.imshow(‘preview2‘,newimg2)
cv2.imshow(‘preview3‘,newimg3)
cv2.imshow(‘preview4‘,newimg4)
cv2.waitKey()
cv2.destroyAllWindows()

仿射可进行缩放、旋转、平衡操作

Python: cv2.warpAffine(src, M, dsize[, dst[, flags[, borderMode[, borderValue]]]]) → dst

C: void cvWarpAffine(const CvArr* src, CvArr* dst, const CvMat* map_matrix, intflags=CV_INTER_LINEAR+CV_WARP_FILL_OUTLIERS, CvScalar fillval=cvScalarAll(0) )

Python: cv.WarpAffine(src, dst, mapMatrix, flags=CV_INTER_LINEAR+CV_WARP_FILL_OUTLIERS, fillval=(0, 0, 0, 0)) → Nonehighlight=warpaffine#cv.WarpAffine" title="Permalink to this definition" style="color: rgb(101, 161, 54); text-decoration: none; visibility: hidden; font-size: 0.8em; padding: 0px 4px;">

C: void cvGetQuadrangleSubPix(const CvArr* src, CvArr* dst, const CvMat*map_matrix)

highlight=warpaffine#void cvGetQuadrangleSubPix(const CvArr* src, CvArr* dst, const CvMat* map_matrix)" title="Permalink to this definition" style="color: rgb(101, 161, 54); text-decoration: none; visibility: hidden; font-size: 0.8em; padding: 0px 4px;">

Python: cv.GetQuadrangleSubPix(src, dst, mapMatrix) → None

Parameters:

src – input image. dst – output image that has the size dsize and the same type assrc . M –  transformation matrix. dsize – size of the output image. flags – combination of interpolation methods (see resize() ) and the optional flag WARP_INVERSE_MAP that means that M is the inverse transformation (  ). borderMode – pixel extrapolation method (seeborderInterpolate()); when borderMode=BORDER_TRANSPARENT , it means that the pixels in the destination image corresponding to the “outliers” in the source image are not modified by the function. borderValue – value used in case of a constant border; by default, it is 0.

The function warpAffine transforms the source image using the specified matrix:

getRotationMatrix2D

Calculates an affine matrix of 2D rotation.

C++: Mat getRotationMatrix2D(Point2f center, double angle, double scale)

Python: cv2.getRotationMatrix2D(center, angle, scale) → retvalhighlight=warpaffine#cv2.getRotationMatrix2D" title="Permalink to this definition" style="color: rgb(101, 161, 54); text-decoration: none; visibility: hidden; font-size: 0.8em; padding: 0px 4px;">

C: CvMat* cv2DRotationMatrix(CvPoint2D32f center, double angle, double scale, CvMat* map_matrix)

Python: cv.GetRotationMatrix2D(center, angle, scale, mapMatrix) → None

Parameters:	center – Center of the rotation in the source image. angle – Rotation angle in degrees. Positive values mean counter-clockwise rotation (the coordinate origin is assumed to be the top-left corner). scale – Isotropic scale factor. map_matrix – The output affine transformation, 2x3 floating-point matrix.

The function calculates the following matrix:

where

The transformation maps the rotation center to itself. If this is not the target, adjust the shift.

仿射变换。又称仿射映射。是指在几何中。一个向量空间进行一次线性变换并接上一个平移。变换为还有一个向量空间。

一个对向量 平移，与旋转放大缩小 的仿射映射为

上式在 齐次坐标上，等价于以下的式子

为了表示仿射变换。须要使用齐次坐标，即用三维向量 (x, y, 1) 表示二维向量，对于高维来说也是如此。依照这样的方法。就能够用矩阵乘法表示变换。 ;  变为

在矩阵中添加一列与一行，除右下角的元素为 1 外其他部分填充为 0，通过这样的方法，全部的线性变换都能够转换为仿射变换。比如，上面的旋转矩阵变为

通过这样的方法，使用与前面一样的矩阵乘积能够将各种变换无缝地集成到一起

# -*- coding: utf-8 -*-
import cv2

fn="test3.jpg"
img=cv2.imread(fn)
w=img.shape[1]
h=img.shape[0]
#得到仿射变换矩阵，完毕旋转
#中心
mycenter=(h/2,w/2)
#旋转角度
myangle=90
#缩放尺度
myscale=0.5
#仿射变换完毕缩小并旋转
transform_matrix=cv2.getRotationMatrix2D(mycenter,myangle,myscale)

newimg=cv2.warpAffine(img,transform_matrix,(h,w))
cv2.imshow(‘preview‘,newimg)

cv2.waitKey()
cv2.destroyAllWindows()

本博客全部内容是原创，假设转载请注明来源

http://blog.csdn.net/myhaspl/

本博客全部内容是原创。假设转载请注明来源

http://blog.csdn.net/myhaspl/