Robust shape reconstruction through optimal transportation
I will describe a recent framework for robust shape reconstruction based on optimal transportation between measures, where the input measurements are seen as distribution of masses. In addition to robustness to defect-laden point sets (hampered with noise and outliers), this approach can reconstruct smooth closed shapes as well as piecewise smooth shapes with boundaries.
 
     
	
                 
                 
	
                 
	
                 
	
               
	
               
	
               
	
               
	
               
	
               
	
               
	
         
	
           
                       
	
           
	
           
	
           
	
           
	
           
      
    