kansai cvprml 20141004
DESCRIPTION
第27回関西CVPRML勉強会資料TRANSCRIPT
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𝐺(𝑥, 𝑦, 𝜃)
𝜎𝜃
𝜒2
𝐺(𝑥, 𝑦, 𝜃)
𝐺 𝑥, 𝑦, 𝜃 = 𝜒2 𝑔, ℎ =1
2
𝑖
(𝑔 𝑖 − ℎ 𝑖 )2
𝑔 𝑖 + ℎ(𝑖)
𝑚𝑃𝑏(𝑥, 𝑦)
𝜎: [𝜎
2, 𝜎, 2𝜎] 𝐺(𝑥, 𝑦, 𝜃)
𝑚𝑃𝑏 𝑥, 𝑦, 𝜃 =
𝑠
𝑖
𝛼𝑖,𝑠𝐺𝑖,𝜎 𝑖,𝑠 (𝑥, 𝑦, 𝜃)
𝑠: scale index𝑖: feature channels brightness, color a, color b, texture𝛼𝑖,𝑠: weight
𝜃 𝑚𝑃𝑏(𝑥, 𝑦, 𝜃)
𝑚𝑃𝑏 𝑥, 𝑦 = max𝜃{𝑚𝑃𝑏 𝑥, 𝑦, 𝜃 }
𝑖𝑗: 𝑟(𝑟 = 5) 𝑖 𝑗 𝜌 = 0.5
𝐴
𝐴𝑖𝑗 = exp −max𝑝∈ 𝑖𝑗
𝑚𝑃𝑏 𝑝
𝜌,
𝐷𝑖𝑖 = 𝑗𝑊𝑖𝑗 𝐷 𝐷 −𝑊 𝒗 = 𝜆𝐷𝒗
0 ≤ 𝜆0 ≤ 𝜆1 ≤ ⋯ ≤ 𝜆𝑛
𝑟
𝐴
𝒗𝑘𝜃
𝑠𝑃𝑏 𝑥, 𝑦, 𝜃 =
𝑘=1
𝑛1
𝜆𝑘∙ 𝛻𝜃𝒗𝑘(𝑥, 𝑦)
𝑚𝑃𝑏 𝑠𝑃𝑏
𝑔𝑃𝑏 𝑥, 𝑦, 𝜃 =
𝑠
𝑖
𝛽𝑖,𝑠𝐺𝑖,𝜎 𝑖,𝑠 𝑥, 𝑦, 𝜃 + 𝛾 ∙ 𝑠𝑃𝑏(𝑥, 𝑦, 𝜃)
𝐸 𝑥, 𝑦 = max𝜃𝐸(𝑥, 𝑦, 𝜃)
𝜃 ∈ [0, 𝜋)
𝛲0 𝛫0
𝐺 = 𝑃0, 𝐾0,𝑊 𝐾0 ,
𝑊(𝐾0) 𝐾0
𝐶∗ = argmin𝐶∈𝐾0𝑊(𝐶)
𝑅1, 𝑅2 ∈ 𝑃0 𝐶∗
𝑅 = 𝑅1 ∪ 𝑅2,𝑃0 ← 𝑃0 ∖ 𝑅1, 𝑅2 ∪ {𝑅} 𝐾0 ← 𝐾0 ∖ {𝐶
∗}
𝐾0𝑊(𝐾0)
𝑊(𝐾0)可
σ = {0.5, 1.0, 2.0}
𝜎 = 1.0
𝜎 = 0.5
𝜎 = 2.0
𝐴
𝐴
𝐴
𝐴∆𝐴 ∆𝐴2
𝐴𝐴
pixel_decimate(𝐴)𝑖 𝑖 𝐴[𝑖 ∶ 𝑖]
𝐴
𝐴
𝑅 = {𝑅𝑖}𝑖 𝑆 = {𝑆𝑗}𝑗𝑅 𝑆𝑗 ∈ 𝑆
𝜋 𝑅, 𝑆𝑗 = argmax𝑖
|𝑆𝑗 ∩ 𝑅𝑖|
|𝑆𝑗|
𝑅 𝑆𝜋 𝑅, 𝑆 = {𝜋(𝑅, 𝑆𝑗)}𝑗
𝜋 𝜋 UCM, 𝑆1 , 𝑆2 = 𝜋 UCM, 𝑆1 ∘ 𝜋(𝑆1, 𝑆2)
𝑁
詳細は付録A参照
𝑭𝒃
𝑭𝒐𝒑
𝐿𝑖 𝑁𝑖 𝑁𝑐 = 𝑁𝑖
𝑁𝑐 𝑁𝑖
𝑅 𝐿1, 𝐿2𝑆
𝑆𝑆2
𝑆2
𝑆
𝑆
𝑂(𝑆𝑅)
𝑂( 𝑅 − 1 𝑆2)
𝐴, 𝐵
𝐽 𝐴, 𝐵 =|𝐴 ∩ 𝐵|
|𝐴 ∪ 𝐵|
𝐽𝑐
𝐽𝑖
𝐽𝑐 = 0.84
𝑆𝐺
𝑅, 𝑅′ 𝑂 𝑅, 𝑅′ =|𝑅 ∩𝑅′|
|𝑅 ∪𝑅′|
𝑆′ 𝑆
𝐶 𝑆′ → 𝑆 =1
𝑁
𝑅∈𝑆
|𝑅| ∙ max𝑅′∈𝑆′𝑂(𝑅, 𝑅′)
𝑠(𝐸1) > 𝑠(𝐸2) > 𝑠(𝐸3) 𝐸1, 𝐸2, 𝐸3𝑆
𝐸1 𝑆𝑠 𝐸1 + 𝐸2 < 𝑠(𝐸1 + 𝐸3) 𝐸3
𝑀𝑀𝑅 = argmax𝐻𝑖∈𝐻∖𝐻𝑝
[𝜃 ∙ 𝑠 𝐻𝑖 − (1 − 𝜃) ∙ max𝐻𝑗∈𝐻𝑝𝑜(𝐻𝑖 , 𝐻𝑗)]