Matlab

Finding Homography Matrix using Singular-value Decomposition and RANSAC in OpenCV and Matlab

Solving a Homography problem leads to solving a set of homogeneous linear equations such below: \begin{equation} \left( \begin{array}{ccccccccc} -x1 & -y1 & -1 & 0 & 0 & 0 & x1*xp1 & y1*xp1 & xp1\\ 0 & 0 & 0 & -x1 & -y1 & -1 & x1*yp1 & y1*yp1 &  yp1\\ -x2 & -y2 & …

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Examples of Dynamic Programming with C++ and Matlab

In this tutorial, I will give you examples of using dynamic programming for solving the following problems: 1)Minimum number of coins for summing X.

  2)The most (least) costly path on a grid (dynamic time warping).

  3)Levenshtein edit distance.

  4)Seam Carving. I have written a tutorial on that …

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Peak Signal-to-Noise Ratio (PSNR) in Image using OpenCV and Matlab

Peak signal-to-noise ratio (PSNR) shows the ratio between the maximum possible power of a signal and the power of the same image with noise. PSNR is usually expressed in logarithmic decibel scale. \( MSE =1/m*n \sum_{i=0}^{m-1} \sum_{j=0}^{n-1}  [   Image( i,j)  -NoisyImage( i,j)  ]  ^2   \) \( PSNR =10* \log_{10} \Bigg(MAXI^2/MSE\Bigg)  \) MSE is Mean Square Error and MAXI is …

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Stitching image using SIFT and Homography

This Matlab tutorial I use SIFT, RANSAC, and homography to find corresponding points between two images. Here I have used vlfeat to find SIFT features. Full code is available at my GitHub repository Major steps are: 0.Adding vlfeat to your Matlab workspace:

  1.Detect key points and extract descriptors. In the image below you can see some SIFT key …

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Analytic distance metric for Gaussian mixture models

In many applications, you need to compare two or more data sets with each other to see how much they are similar or different. For instance, you have measured the height of men and women in Japan and Netherlands and now you like to know how much they are different. Two commonly used method for measuring distances …

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Lucas–Kanade method optical flow with MATLAB

In this tutorial, I will show you how to estimate optical flow based on Lucas–Kanade method.  This project has the following scripts: Optical_flow_estimation, myFlow, myWarp, computeColor, flowToColor. The myFlow does the main job, it gets two images and a window length (patch length) and a threshold for accepting the optical flow.  In the following, you see the myFlow.  You can uncomment figure function calls …

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Displaying Adjusted Frequencies of signal with Fast Fourier transform

In this tutorial, I will show you how to get Fast Fourier transform of a signal and then correctly display the signal. Link to the code in my Github repository.

    Getting Fourier transform of the signal: