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smp.smooth [2010/10/27 16:24] – created jochensmp.smooth [2010/10/27 16:30] – typo jochen
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 ===== Requirements ===== ===== Requirements =====
-To perform the smoothing, you must have a valid SMP object as well as the SRF object that contains the respectiveneighborhood information.+To perform the smoothing, you must have a valid SMP object as well as the SRF object that contains the respective neighborhood information.
  
 ===== Notes ===== ===== Notes =====
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 After creating the 2D kernel weights, the smoothing is applied in iterations. During each iteration, each vertices value is replaced by a weighted sum of the value itself and an equally inter-neighbor weighted sum of the first-degree neighbors: After creating the 2D kernel weights, the smoothing is applied in iterations. During each iteration, each vertices value is replaced by a weighted sum of the value itself and an equally inter-neighbor weighted sum of the first-degree neighbors:
  
-{{:smp_smooth_formula.png|}}+{{:smp_smooth_formula.png|SMP smoothing formula for one vertex, using the values of its first-degree neighbors}}
  
 In other words, the central kernel weight remains with the old value and the remainder to 1 is split across the next neighbors according to the kernel weight given by their distance to the vertex. This approach takes both the neighborhood and the distance of vertices into account. In other words, the central kernel weight remains with the old value and the remainder to 1 is split across the next neighbors according to the kernel weight given by their distance to the vertex. This approach takes both the neighborhood and the distance of vertices into account.
  
smp.smooth.txt · Last modified: 2010/10/28 00:09 by jochen