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00:00
1.
Geometric Reasoning and Applications: Point Location
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01:17
2.
Point Location
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06:12
3.
Planar Point Location
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09:56
4.
Planar Point Location
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12:17
5.
A Possible Solution
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17:38
6.
Trapezoidal Maps
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22:07
7.
Left/Right Edge of Trapezoid
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22:31
8.
Trapezoidal Maps
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25:35
9.
Left/Right Edge of Trapezoid
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29:39
10.
Trapezoidal Maps
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31:15
11.
Left/Right Edge of Trapezoid
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32:44
12.
Trapezoidal Maps
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33:00
13.
Left/Right Edge of Trapezoid
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33:29
14.
Properties of Trapezoidal Maps
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39:37
15.
Left/Right Edge of Trapezoid
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43:28
16.
Properties of Trapezoidal Maps
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47:05
17.
Properties of Trapezoidal Maps
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49:35
18.
Trapezoidal Map for Point Location (I)
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56:54
19.
Trapezoidal Map for Point Location (II)
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1:02:22
20.
Randomized Incremental Algorithm
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1:12:03
21.
TrapezoidalMap(S)
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1:18:43
22.
FollowSegment(T, si)
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1:27:54
23.
Updating T and D (Simple Case)
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1:30:57
24.
Updating T and D (General Case)
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1:38:44
25.
Updating T and D (General Case)
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1:41:20
26.
Algorithm Analysis
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1:46:53
27.
Average Query Time Analysis (I)
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1:50:54
28.
Average Query Time Analysis (II)
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2:01:21
29.
Expected Size of the Structure
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2:11:50
30.
Expected Construction Time
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2:13:44
31.
Removing Naïve Assumptions
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2:15:08
32.
Dealing with Degeneracy (I)
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2:17:37
33.
Dealing with Degeneracy (II)