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