A MATLAB code for analyzing the distribution of CH distribution in C3S paste

A MATLAB code for analyzing the distribution of CH distribution in C3S paste

Core Functionality

1. Circle Detection via Monte Carlo Simulation

   • Generates num_simulations random circles within the image boundaries using uniform sampling
      
   • Calculates pixel intensity sums within each circle's radius
   • Ranks circles by pixel coverage and retains top num_circles_to_keep candidates
      

2. Spatial Distribution Analysis

   • Distance Matrix: Computes pairwise Euclidean distances between circle centers
      
   • Uniformity Metrics:
     • Average Nearest Neighbor Distance: Quantifies spatial clustering
        
     • Clark-Evans Index: Tests randomness hypothesis (value >1 indicates uniformity)
        
     • Moran's I: Measures spatial autocorrelation (requires custom spatial weights)
        

3. Visualization

   • Overlays detected circles on original/image masks using viscircles
      
   • Plots center distributions via scatter plots with axis equalization

Input/Output Specifications