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arg min𝑠𝑚𝑜𝑘𝑒
ℒ(𝑠𝑚𝑜𝑘𝑒, "𝑓𝑙𝑜𝑤𝑒𝑟")
arg min𝑠𝑚𝑜𝑘𝑒
ℒ(𝑠𝑚𝑜𝑘𝑒, "Style" 𝑜𝑓 𝑔𝑖𝑣𝑒𝑛 𝑖𝑚𝑎𝑔𝑒)
ℱ𝑙
ℱ𝑙
𝒢(ℱ𝑙)× =
ℱ𝑙
ℱ𝑙⊺
ℱ𝑙
𝒢(ℱ𝑙)
× =
𝐼𝑐
𝐼∗ = argmin𝐼
ℒ(𝐼, 𝐼𝑐 , 𝐼𝑠)
𝐼𝑆
𝐼
ℒ = 𝛼ℒ𝑐 𝐼, 𝐼𝑐 + 𝛽ℒ𝑠 𝐼, 𝐼𝑠
𝐼𝑛+1 = 𝐼𝑛 − 𝜕ℒ/𝜕𝐼𝑛ℒ
𝐼∗
ℒ
𝐼
𝐼∗ = argmin𝐼
ℒ(𝐼, 𝐼𝑐 , 𝐼𝑠)
𝐼
ℒ
𝑑
Ԧ𝑣
መ𝑑
𝒯
Ԧ𝑣∗ = argmin𝑣
ℒ(𝒯 𝑑, Ԧ𝑣 , 𝐼𝑐 , 𝐼𝑠)
𝐼∗ = argmin𝐼
ℒ(𝐼, 𝐼𝑐 , 𝐼𝑠)
መ𝑑 𝑑
መ𝑑 = 𝒯 𝑑, Ԧ𝑣
𝑑 Ԧ𝑣 መ𝑑
መ𝑑 𝑑
መ𝑑 = 𝒯 𝑑, Ԧ𝑣
Ԧ𝑣
Ԧ𝑣 = 𝜆𝛻𝜙 + (1 − 𝜆)𝛻 × 𝜓
𝛻 ⋅ 𝛻 × 𝜓 = 0𝛻 × 𝛻𝜙 = 0
𝛻 × 𝛻𝜙 = 0𝛻 ⋅ 𝛻 × 𝜓 = 0 Ԧ𝑣 = 𝜆𝛻𝜙 + (1 − 𝜆)𝛻 × 𝜓
ℒ
𝑑
Ԧ𝑣
መ𝑑
𝒯
Ԧ𝑣∗ = argmin𝑣
ℒ(𝒯 𝑑, Ԧ𝑣 , 𝐼𝑐 , 𝐼𝑠)
𝐼∗ = argmin𝐼
ℒ(𝐼, 𝐼𝑐 , 𝐼𝑠)
ℒ
𝑣∗ = argmin𝑣
ℒ(𝒯 𝑑, 𝑣 , 𝐼𝑐, 𝐼𝑠)
Ԧ𝑣∗ = argmin𝑣
𝜃∈Θ
ℒ(ℛ𝜃 𝒯 𝑑, Ԧ𝑣 , 𝐼𝑐 , 𝐼𝑠)
𝐼 𝑑
𝑑
Ԧ𝑣
መ𝑑
𝒯 ℛ
𝜏(𝑥, Ԧ𝑟) = 𝑒−𝛾 𝑥0𝑑 𝑟𝑧 𝑑𝑟𝑧
𝐼𝑖𝑗 = න𝐷
0
𝑑 𝑥 𝜏 𝑥, Ԧ𝑟 𝑑𝑥
𝛾
𝛾
𝒯𝑡−1𝑡
𝒯𝑡+1𝑡
Ԧ𝑣𝑡−1
መ𝑑𝑡−1 መ𝑑𝑡 መ𝑑𝑡+1
Ԧ𝑣𝑡 Ԧ𝑣𝑡+1
𝑢𝑡−1 𝑢𝑡
ℒ
𝐼 𝑑
𝑑
Ԧ𝑣መ𝑑
𝒯 ℛ
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