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SLIDE 1

▼❛st❡r t❤❡s✐s ♣r♦❥❡❝t ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥

❋❛❝✉❧t② ♦❢ ❡♥❣✐♥❡❡r✐♥❣✱ ▲❚❍ ▲✉♥❞ ❯♥✐✈❡rs✐t②

❆✉❣✉st ✶✻✱ ✷✵✶✷

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 2

■♥tr♦❞✉❝t✐♦♥

❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

  • ❧♦❜❛❧ ✐❧❧✉♠✐♥❛t✐♦♥

■♥❞✐r❡❝t ❞✐✛✉s❡ ❧✐❣❤t✐♥❣ ❘❡❛❧ t✐♠❡ ❇❛s❡❞ ♦♥ tr❛❞✐t✐♦♥❛❧ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s ❯s✐♥❣ ❛♥ ♦❝tr❡❡ ❜❛s❡❞ ❞❛t❛ str✉❝t✉r❡

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 3

■♥tr♦❞✉❝t✐♦♥

❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

  • ❧♦❜❛❧ ✐❧❧✉♠✐♥❛t✐♦♥

■♥❞✐r❡❝t ❞✐✛✉s❡ ❧✐❣❤t✐♥❣ ❘❡❛❧ t✐♠❡ ❇❛s❡❞ ♦♥ tr❛❞✐t✐♦♥❛❧ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s ❯s✐♥❣ ❛♥ ♦❝tr❡❡ ❜❛s❡❞ ❞❛t❛ str✉❝t✉r❡

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 4

❖✉t❧✐♥❡

✶ Pr❡✈✐♦✉s ✇♦r❦ ✷ ❙♣❤❡r✐❝❛❧ ❤❛r♠♦♥✐❝s ✸ ▲✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s ✹ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s ✺ ❘❡s✉❧ts ❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 5

Pr❡✈✐♦✉s ✇♦r❦

Screen Space Directional Occlusion Incremental Instant Radiosity Cascaded LPVs Reflective Shadow Maps Spherical Harmonics Lighting Light Propagation Volumes Subsurface LPVs Octree LPVs Image Space Photon Mapping Voxel Cone Tracing ❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 6

❙♣❤❡r✐❝❛❧ ❤❛r♠♦♥✐❝s

❋✉♥❝t✐♦♥s ♦✈❡r t❤❡ ✉♥✐t s♣❤❡r❡ ❉❡✜♥❡❞ ❢♦r ♣♦✐♥ts s ♦♥ t❤❡ ✉♥✐t s♣❤❡r❡ ❢ (s) ❈❛rt❡s✐❛♥✿ s = (①, ②, ③)✱ ①✷ + ②✷ + ③✷ = ✶✱ ♥♦r♠❛❧✐③❡❞ ✈❡❝t♦r ❙♣❤❡r✐❝❛❧ s = (θ, ϕ) ❍❡r❡✿ ❘❡♣r❡s❡♥t❡❞ ✉s✐♥❣ ❢♦✉r ❝♦❡✣❝✐❡♥ts ❊①❛♠♣❧❡ ❋✉♥❝t✐♦♥s t❛❦✐♥❣ ♥♦r♠❛❧✐③❡❞ ❞✐r❡❝t✐♦♥ ✈❡❝t♦rs ❛s t❤❡✐r ❛r❣✉♠❡♥t✳

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 7

❙♣❤❡r✐❝❛❧ ❤❛r♠♦♥✐❝s

❈❧❛♠♣❡❞ ❝♦s✐♥❡ ❧♦❜❡ ❯s❡❢✉❧ ❢♦r ▲P❱s ❢ (θ, ϕ) = ♠❛①(❝♦s θ, ✵) ❘♦t❛t✐♦♥❛❧❧② s②♠♠❡tr✐❝ ❛r♦✉♥❞ ❩✲❛①✐s ❘♦t❛t❡❞ ✐♥t♦ ❞✐r❡❝t✐♦♥ ❞

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0.2 0.4 0.6 0.8
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0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1 z x y z

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 8

▲✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

❙t❡♣s

✶ ❈r❡❛t❡ ✈✐rt✉❛❧ ♣♦✐♥t ❧✐❣❤ts ✷ ■♥❥❡❝t ❧✐❣❤t ✐♥t♦ ❣r✐❞ ✸ Pr♦♣❛❣❛t❡ ✹ ❘❡♥❞❡r ❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 9

▲✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

❈r❡❛t❡ ✈✐rt✉❛❧ ♣♦✐♥t ❧✐❣❤ts ❚❡①❡❧s ♦❢ r❡✢❡❝t✐✈❡ s❤❛❞♦✇ ♠❛♣ ❙t♦r❡s ❞❡♣t❤✱ ♥♦r♠❛❧ ❛♥❞ ❝♦❧♦r

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 10

▲✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

■♥❥❡❝t ❧✐❣❤t ✐♥t♦ ❣r✐❞ ❊❛❝❤ ❱P▲ ❛s ❛ ❝❧❛♠♣❡❞ ❝♦s✐♥❡ ❧♦❜❡ ▼❛♣♣❡❞ t♦ ❛ ❣r✐❞ ♣♦s✐t✐♦♥ ❆❞❞❡❞ t♦ ❡①✐st✐♥❣ ✈❛❧✉❡

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 11

▲✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

Pr♦♣❛❣❛t✐♦♥ ❋♦r ❡❛❝❤ ❣r✐❞ ❡❧❡♠❡♥t ❚♦ ❡❛❝❤ ❛❞❥❛❝❡♥t ❡❧❡♠❡♥t ❊✈❛❧✉❛t❡ st♦r❡❞ ❙❍ ❉✐r❡❝t❡❞ t♦✇❛r❞s ❡❛❝❤ ❢❛❝❡ ❘❡♣r♦❥❡❝t ❛s ❝❧❛♠♣❡❞ ❝♦s✐♥❡ ❧♦❜❡

A B A B A B

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 12

▲✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

Pr♦♣❛❣❛t✐♦♥ P❡r❢♦r♠ ♠✉❧t✐♣❧❡ ✐t❡r❛t✐♦♥s ❯s❡ s✉♠ ♦❢ ❛❧❧ ✐t❡r❛t✐♦♥s

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 13

▲✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

❘❡♥❞❡r ❋♦r ❡❛❝❤ ❢r❛❣♠❡♥t ❋✐♥❞ ❣r✐❞ ♣♦s✐t✐♦♥ ❊✈❛❧✉❛t❡ t♦✇❛r❞s ♥❡❣❛t✐✈❡ ♥♦r♠❛❧ ❆❞❞ t♦ ❞✐r❡❝t ❧✐❣❤t✐♥❣

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 14

❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

❖❝tr❡❡ ▲P❱s ❖❝tr❡❡ ✐♥st❡❛❞ ♦❢ ✉♥✐❢♦r♠ ❣r✐❞ ❚✇♦ ♣❛rts

❉❛t❛ st♦r❛❣❡ ❧❡✈❡❧s ■♥❞❡① ✈♦❧✉♠❡

❙♦♠❡ ♥❡✇ st❡♣s

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 15

❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

❉❛t❛ st♦r❛❣❡ ❧❡✈❡❧s ❍✐❡r❛r❝❤② ♦❢ ✸❉ ❣r✐❞s✱ ❧❡✈❡❧s ❙✐③❡s ❛r❡ ♣♦✇❡rs ♦❢ t✇♦ ❊①❛♠♣❧❡ ▲❡✈❡❧ s✐③❡s

✵ ✸✷ × ✸✷ × ✸✷ ✶ ✶✻ × ✶✻ × ✶✻ ✷ ✽ × ✽ × ✽ ✸ ✹ × ✹ × ✹ ✹ . . . ❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 16

❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

❉❛t❛ st♦r❛❣❡ ❧❡✈❡❧s ❍✐❡r❛r❝❤② ♦❢ ✸❉ ❣r✐❞s✱ ❧❡✈❡❧s ❙✐③❡s ❛r❡ ♣♦✇❡rs ♦❢ t✇♦

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 17

❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

■♥❞❡① ✈♦❧✉♠❡ ❙t♦r❡s t❤❡ ♦❝tr❡❡ str✉❝t✉r❡ ❙❛♠❡ s✐③❡s ❛s ❞❛t❛ st♦r❛❣❡ ❖♥❡ ❢♦r ❡❛❝❤ ❞❛t❛ st♦r❛❣❡ ❧❡✈❡❧ ❈♦♥t❛✐♥s✿ ❲❤✐❝❤ ❞❛t❛ st♦r❛❣❡ ❧❡✈❡❧ t♦ ✉s❡ ❙❛♠♣❧❡✿ ▼✐♥✐♠✉♠ st♦r❡❞ ❧❡✈❡❧

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 18

❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

▲✐❣❤t ✐♥❥❡❝t✐♦♥ ■♥❥❡❝t ❡✈❡r②t❤✐♥❣ t♦ ✜rst ❧❡✈❡❧ ▲❡❛✈❡ ♦t❤❡r ❧❡✈❡❧s ❡♠♣t② ■♥❞❡① ✈♦❧✉♠❡ ③❡r♦ ❢♦r ✐♥❥❡❝t❡❞ ❡❧❡♠❡♥ts

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 19

❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

❉♦✇♥s❛♠♣❧✐♥❣ P♦♣✉❧❛t❡ ♦t❤❡r ❧❡✈❡❧s ❆✈❡r❛❣❡ ❢r♦♠ ❤✐❣❤❡r r❡s♦❧✉t✐♦♥s ❯♣❞❛t❡ ✐♥❞❡① ✈♦❧✉♠❡

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 20

❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

Pr♦♣❛❣❛t✐♦♥ ■♥❞✐✈✐❞✉❛❧❧② ♦♥ ❡❛❝❤ ❧❡✈❡❧ ❙❛♠❡ s❝❤❡♠❡ ❛s tr❛❞✐t✐♦♥❛❧ ▲P❱s ❯♣❞❛t❡ ✐♥❞❡① ✈♦❧✉♠❡

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 21

❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

▼❡r❣✐♥❣ ▼❡r❣❡ ❤✐❡r❛r❝❤② ✐♥t♦ s✐♥❣❧❡ ▲P❱ ❙❛♠♣❧❡ ✐♥❞❡① ✈♦❧✉♠❡

Level 0 Level 1 Level 2 1 1 1 1 1 1 2 2 2 2 2 2 Resulting sampling Index volume

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 22

❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

❘❡♥❞❡r✐♥❣ ❯s❡ t❤❡ ♠❡r❣❡❞ ▲P❱ ❙❛♠❡ r❡♥❞❡r✐♥❣ ❛s r❡❣✉❧❛r ▲P❱s

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 23

❘❡s✉❧ts

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 24

❘❡s✉❧ts

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 25

❘❡s✉❧ts

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 26

❘❡s✉❧ts

P❡r❢♦r♠❛♥❝❡ ❖❝tr❡❡ ❯♥✐❢♦r♠ P❛rt ❈♦✉♥t ❚♦t❛❧ ❉✐✛ ❚♦t❛❧ ❋r❛♠❡ ✺✵✵ ✺✸✶✾✸ ✲✹✽✵✶ ✺✼✾✾✹ ❘❙▼❈r❡❛t❡ ✾✵✵✵ ✸✵✺✸ ✸✶✻ ✷✼✸✼

  • ❱❈❧❡❛r

✺✵✵ ✻✼✶ ✲✺✵ ✼✷✶

  • ❱■♥❥❡❝t

✶✺✵✵ ✶✺✺✾✸ ✲✶✶✵ ✶✺✼✵✸

  • ❱❉♦✇♥s❛♠♣❧❡

✺✵✵ ✺✺ ✺✺ ✲ ■❳❈❧❡❛r ✺✵✵ ✷✾✷✸ ✷✾✷✸ ✲ ▲P❱❈❧❡❛r ✺✵✵ ✹✹✻✶ ✷✼✵ ✹✶✾✶ ▲P❱■♥❥❡❝t ✶✺✵✵ ✶✾✾✷✾ ✲✷✽✽✹ ✷✷✽✶✸ ▲P❱❉♦✇♥s❛♠♣❧❡ ✺✵✵ ✶✹✷ ✶✹✷ ✲ ▲P❱Pr♦♣❛❣❛t❡ ✺✵✵ ✸✼✽✽ ✲✺✻✶✺ ✾✹✵✸ ▲P❱▼❡r❣❡ ✺✵✵ ✸✾ ✸✾ ✲ ❚♦t❛❧ ✲✹✾✶✹ ✽✳✷✽✪

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 27

❋♦❧❧♦✇ ✉♣

P♦st✲♣r❡s❡♥t❛t✐♦♥ ❖♣♣♦♥❡♥t q✉❡st✐♦♥s ❖t❤❡r q✉❡st✐♦♥s

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 28

❋♦❧❧♦✇ ✉♣

P♦st✲♣r❡s❡♥t❛t✐♦♥ ❖♣♣♦♥❡♥t q✉❡st✐♦♥s ❖t❤❡r q✉❡st✐♦♥s

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s

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SLIDE 29

❋♦❧❧♦✇ ✉♣

P♦st✲♣r❡s❡♥t❛t✐♦♥ ❖♣♣♦♥❡♥t q✉❡st✐♦♥s ❖t❤❡r q✉❡st✐♦♥s ❚❤❛♥❦s ❢♦r ❧✐st❡♥✐♥❣✦

❏♦❤♥ ❉❛✈✐❞ ❖❧♦✈ss♦♥ ❖❝tr❡❡ ❧✐❣❤t ♣r♦♣❛❣❛t✐♦♥ ✈♦❧✉♠❡s