A Fast Region-Based Segmentation Model with Gaussian Kernel of Fractional Order

Table 1

The analysis table of energy function model.

Model	𝛼𝑘	𝑉𝑁	𝑁
Geometric AC [3]	𝑔(𝑥)	𝑟𝑔(𝑥)	0
Geodesic AC [4]	𝑔(𝑥)	𝑟𝑔(𝑥)	∇𝑔(𝑥)
GVF Geo. AC [5]	𝑔(𝑥)	𝑟𝑘(𝑥)𝑔(𝑥)	𝑔(𝑥)(1−|𝑘(𝑥)|[𝑢,𝜈])
CV AC [6]	𝜂	𝜇+𝐼−𝑐in^2; −𝐼−𝑐out^2	0
LBF AC [7]	𝜂	𝜆1𝑒1−𝜆2𝑒2	0