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,VOP"ZBOB σΟδλϧը૾ॲཧ ٯϑΟϧλɾ΢ΟʔφϑΟϧλʹΑΔը૾෮ݩ

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લճͷ෮़ɿ΅͚ɾͿΕͱ͸ ࣍ݩσϧλؔ਺ δ(x, y) ྼԽը૾ g(x, y) ݪը૾ f(x, y)

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લճͷ෮़ɿ఺֦͕Γؔ਺ͷϞσϧԽ ΅͚ͷ఺֦͕Γؔ਺ˠΨ΢ε෼෍ͱۙࣅ ͿΕͷ఺֦͕Γؔ਺ˠͿΕͷํ޲ВʹͷΈ෯XʹҰ࣍ݩͰ޿͕͍ͬͯΔؔ਺ͱۙࣅ

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ g(x, y) = f(x, y) * h(x, y) ྼԽը૾ ݪը૾ ఺֦͕Γؔ਺ ఺֦͕Γؔ਺͕ط஌ͷ৔߹ ٯϑΟϧλΛྼԽը૾ʹదԠ͢Δ͜ͱͰݪը૾͕ٻ·Δ

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ g(x, y) = f(x, y) * h(x, y) ྼԽը૾ ݪը૾ G(u, v) = F(u, v)H(u, v) ϑʔϦΤม׵ 'ྼԽը૾ 'ݪը૾ ϑΟϧλ ఺֦͕Γؔ਺ ఺֦͕Γؔ਺͕ط஌ͷ৔߹ ٯϑΟϧλΛྼԽը૾ʹదԠ͢Δ͜ͱͰݪը૾͕ٻ·Δ

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ G(u, v) = F(u, v)H(u, v) 'ྼԽը૾ 'ݪը૾ ϑΟϧλ ఺֦͕Γؔ਺͕ط஌ͷ৔߹ ٯϑΟϧλΛྼԽը૾ʹదԠ͢Δ͜ͱͰݪը૾͕ٻ·Δ

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ G(u, v) = F(u, v)H(u, v) 'ྼԽը૾ 'ݪը૾ ϑΟϧλ ఺֦͕Γؔ਺͕ط஌ͷ৔߹ ٯϑΟϧλΛྼԽը૾ʹదԠ͢Δ͜ͱͰݪը૾͕ٻ·Δ K(u, v) K(u, v)

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ G(u, v) = F(u, v)H(u, v) 'ྼԽը૾ 'ݪը૾ ϑΟϧλ 1 H(u, v) ٯϑΟϧλ ఺֦͕Γؔ਺͕ط஌ͷ৔߹ ٯϑΟϧλΛྼԽը૾ʹదԠ͢Δ͜ͱͰݪը૾͕ٻ·Δ 1 H(u, v)

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ G(u, v) = F(u, v)H(u, v) 'ྼԽը૾ 'ݪը૾ ϑΟϧλ 1 H(u, v) ٯϑΟϧλ ఺֦͕Γؔ਺͕ط஌ͷ৔߹ ٯϑΟϧλΛྼԽը૾ʹదԠ͢Δ͜ͱͰݪը૾͕ٻ·Δ 1 H(u, v)

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ G(u, v) = F(u, v) 'ྼԽը૾ 'ݪը૾ ఺֦͕Γؔ਺͕ط஌ͷ৔߹ ٯϑΟϧλΛྼԽը૾ʹదԠ͢Δ͜ͱͰݪը૾͕ٻ·Δ 1 H(u, v)

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ G(u, v) = F(u, v) 'ྼԽը૾ 'ݪը૾ ఺֦͕Γؔ਺͕ط஌ͷ৔߹ ٯϑΟϧλΛྼԽը૾ʹదԠ͢Δ͜ͱͰݪը૾͕ٻ·Δ 1 H(u, v)

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ G(u, v) = F(u, v) 'ྼԽը૾ 'ݪը૾ ϑʔϦΤٯม׵ g(x, y) = f(x, y) ྼԽը૾ ݪը૾ ఺֦͕Γؔ਺͕ط஌ͷ৔߹ ٯϑΟϧλΛྼԽը૾ʹదԠ͢Δ͜ͱͰݪը૾͕ٻ·Δ 1 H(u, v)

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ G(u, v) = F(u, v)H(u, v) 'ྼԽը૾ 'ݪը૾ ϑΟϧλ 1 H(u, v) ٯϑΟϧλ ఺֦͕Γؔ਺͕ط஌ͷ৔߹ ٯϑΟϧλΛྼԽը૾ʹదԠ͢Δ͜ͱͰݪը૾͕ٻ·Δ ΋͘͠͸ݶΓͳ͘ʹ͍ۙ஋ͩͬͨΒʁ

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ G(u, v) = F(u, v)H(u, v) 'ྼԽը૾ 'ݪը૾ ϑΟϧλ 1 H(u, v) ٯϑΟϧλ ఺֦͕Γؔ਺͕ط஌ͷ৔߹ ٯϑΟϧλΛྼԽը૾ʹదԠ͢Δ͜ͱͰݪը૾͕ٻ·Δ ΋͘͠͸ݶΓͳ͘ʹ͍ۙ஋ͩͬͨΒʁ ൃࢄͯ͠͠·͏ʂ

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ G(u, v) = F(u, v)H(u, v) + N(u, v) ൃࢄ͢ΔͱϊΠζ੒෼͕૿෯ͯ͠͠·͏ ˠ) V W ͕ʹ͍ۙͱ͖ʹൃࢄ͠ͳ͍ϑΟϧλΛߟ͑Δඞཁ͕͋Δ 'ϊΠζ

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ Kw (u, v) = 1 H(u, v) ෮ݩը૾ɹɹɹͱݪը૾ɹɹɹͷޡࠩΛ࠷খʹ͢ΔΑ͏ͳϑΟϧλ Kw (u, v) ̂ f(x, y) f(x, y)

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ Kw (u, v) = 1 H(u, v) |H(u, v)|2 |H(u, v)|2 + |N(u, v)|2 /|F(u, v)|2 ෮ݩը૾ɹɹɹͱݪը૾ɹɹɹͷޡࠩΛ࠷খʹ͢ΔΑ͏ͳϑΟϧλ Kw (u, v) ̂ f(x, y) f(x, y)

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ Kw (u, v) = 1 H(u, v) |H(u, v)|2 |H(u, v)|2 + |N(u, v)|2 /|F(u, v)|2 ෮ݩը૾ɹɹɹͱݪը૾ɹɹɹͷޡࠩΛ࠷খʹ͢ΔΑ͏ͳϑΟϧλ Kw (u, v) ̂ f(x, y) f(x, y) ΢ΟʔφϑΟϧλ

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ Kw (u, v) = 1 H(u, v) |H(u, v)|2 |H(u, v)|2 + |N(u, v)|2 /|F(u, v)|2 ෮ݩը૾ɹɹɹͱݪը૾ɹɹɹͷޡࠩΛ࠷খʹ͢ΔΑ͏ͳϑΟϧλ Kw (u, v) ̂ f(x, y) f(x, y) ϊΠζ͕ͷ৔߹

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ Kw (u, v) = 1 H(u, v) |H(u, v)|2 |H(u, v)|2 + |N(u, v)|2 /|F(u, v)|2 ෮ݩը૾ɹɹɹͱݪը૾ɹɹɹͷޡࠩΛ࠷খʹ͢ΔΑ͏ͳϑΟϧλ Kw (u, v) ̂ f(x, y) f(x, y) ϊΠζ͕ͷ৔߹ ͕͜͜ʹͳΔͷͰ ٯϑΟϧλͱಉ༷ʹ໭Δ

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ Kw (u, v) = 1 H(u, v) |H(u, v)|2 |H(u, v)|2 + |N(u, v)|2 /|F(u, v)|2 ෮ݩը૾ɹɹɹͱݪը૾ɹɹɹͷޡࠩΛ࠷খʹ͢ΔΑ͏ͳϑΟϧλ Kw (u, v) ̂ f(x, y) f(x, y) ͍͍ͩͨϊΠζ΍ݪը૾͸ະ஌ ద౰ͳఆ਺ϵΛஔ͘͜ͱ͕ଟ͍

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ը૾Λ෮ݩ͢ΔۭؒϑΟϧλΛߟ͑Δ Kw (u, v) = 1 H(u, v) |H(u, v)|2 |H(u, v)|2 + Γ ෮ݩը૾ɹɹɹͱݪը૾ɹɹɹͷޡࠩΛ࠷খʹ͢ΔΑ͏ͳϑΟϧλ Kw (u, v) ̂ f(x, y) f(x, y)

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ϵΛมԽͤ͞Δ Kw (u, v) = 1 H(u, v) |H(u, v)|2 |H(u, v)|2 + Γ ਤ

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ϵΛมԽͤ͞Δ Kw (u, v) = 1 H(u, v) |H(u, v)|2 |H(u, v)|2 + Γ ਤ ൃࢄͯ͠͠·͍ըૉ஋͕ൃࢄ͍ͯ͠Δ θϩ఺ΛؚΜͰ͍ΔͨΊ

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ϵΛมԽͤ͞Δ Kw (u, v) = 1 H(u, v) |H(u, v)|2 |H(u, v)|2 + Γ ਤ ൃࢄͯ͠͠·͍ըૉ஋͕ൃࢄ͍ͯ͠Δ θϩ఺ΛؚΜͰ͍ΔͨΊ ൃࢄ͍ͯ͠ͳ͍

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ϵΛมԽͤ͞Δ Kw (u, v) = 1 H(u, v) |H(u, v)|2 |H(u, v)|2 + Γ ਤ

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ϵΛมԽͤ͞Δ Kw (u, v) = 1 H(u, v) |H(u, v)|2 |H(u, v)|2 + Γ ਤ ઱Ӷʹ෮ݩ͸͞ΕΔ ϊΠζ͸૿෯͢Δ ϊΠζ͸૿෯͞Εͳ͍ ΅͚ɾͿΕͷ෮ݩ͕؁͍

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ϵΛมԽͤ͞Δ Kw (u, v) = 1 H(u, v) |H(u, v)|2 |H(u, v)|2 + Γ ਤ ઱Ӷʹ෮ݩ͸͞ΕΔ ϊΠζ͸૿෯͢Δ ϊΠζ͸૿෯͞Εͳ͍ ΅͚ɾͿΕͷ෮ݩ͕؁͍ ϵ͕େ͖͘ͳΔͱ෼฼͕େ͖͘ͳΔͷͰ

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ϵΛมԽͤ͞Δ Kw (u, v) = 1 H(u, v) |H(u, v)|2 |H(u, v)|2 + Γ ਤ ઱Ӷʹ෮ݩ͸͞ΕΔ ϊΠζ͸૿෯͢Δ ϊΠζ͸૿෯͞Εͳ͍ ΅͚ɾͿΕͷ෮ݩ͕؁͍ ϵ͕େ͖͘ͳΔͱ෼฼͕େ͖͘ͳΔͷͰ ͜͜ͷ஋͕খ͘͞ͳͬͯ͋·ΓϑΟϧλ͕ޮ͔ͳ͘ͳΔ