IPSDK 0.2
IPSDK : Image Processing Software Development Kit
L1 Norm (taxicab) of 2 imagesSee full documentation
imagel1Norm2Img (inImg1,inImg2)

Detailed Description

Computation of L1 (taxicab) norm of two images algorithm.

This algorithm allows to compute L1 norm (taxicab norm) of two images. Given two input images $InImg1$ and $InImg2$, output image values are defined by :

\[ OutImg[i] = \lvert InImg1[i] \rvert + \lvert InImg2[i] \rvert \]

Here is an example of a L1 norm computation applied to two floating point grey level input images :

l1Norm2Img.png
See also
http://en.wikipedia.org/wiki/Norm_%28mathematics%29#Euclidean_norm

Example of Python code :

Example imports

import PyIPSDK
import PyIPSDK.IPSDKIPLArithmetic as arithm

Code Example

# opening of input image
inImg1 = PyIPSDK.loadTiffImageFile(inputImg1Path)
inImg2 = PyIPSDK.loadTiffImageFile(inputImg2Path)
# computation of L1 norm of the 2 input images
outImg = arithm.l1Norm2Img(inImg1, inImg2)

Example of C++ code :

Example informations

Header file

#include <IPSDKIPL/IPSDKIPLArithmetic/Processor/L1Norm2Img/L1Norm2Img.h>

Code Example

// opening input image
ImagePtr pInImg = loadTiffImageFile(inputImgPath);
// compute gradient on input image
GradientXYImg gradientXY = gaussianGradient2dImg(pInImg, 3.0f);
// compute norm on previous gradients
ImagePtr pOutImg = l1Norm2Img(gradientXY._pXGradImg, gradientXY._pYGradImg);