USTC-数字图像处理-水平集演化方程
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2018-04-13
17:05:43
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1 Question Describle
Given the energy fuction:
ε
g,λ,v
(φ) = λL
g
(φ) + vA
g
(φ) (1)
Which
L
g
(φ) =
Z
Ω
gδ| 5 φ|dxdy (2)
A
g
(φ) =
Z
Ω
gH(−φ)dxdy (3)
g =
1
1 + | 5 G
σ∗I
|
2
(4)
δ is the univariate Dirac fuction
H is the Heaviside function
Prove that the evolution equation is:
∂φ
∂t
= λδ(φ)div(g
5φ
| 5 φ|
) + vgδ(φ) (5)
1
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