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Quiz 2 [answer in the back] 2. Two line segments: S1: (1,2) to (5,6) S2: (3,5) to (7,3) Compute the intersection 3. Explain the complexity for line segment intersection is O((n+I)logn) 1. Sketch the sweep line and complete the corresponding event queue and T. Perform all required steps and highlight the step that report an intersection (an intersection between ??)
![Quiz 2 [answer in the back] 2.](http://images.slideplayer.com./25/7665137/slides/slide_1.jpg "Two line segments: S1: (1,2) to (5,6) S2: (3,5) to (7,3) Compute the intersection 3. Explain the complexity for line segment intersection is O((n+I)logn) 1. Sketch the sweep line and complete the corresponding event queue and T. Perform all required steps and highlight the step that report an intersection (an intersection between ).")
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s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]
![s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]](http://images.slideplayer.com./25/7665137/slides/slide_2.jpg "s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]")
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s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]
![s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]](http://images.slideplayer.com./25/7665137/slides/slide_3.jpg "s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]")
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s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]
![s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]](http://images.slideplayer.com./25/7665137/slides/slide_4.jpg "s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]")
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s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]
![s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]](http://images.slideplayer.com./25/7665137/slides/slide_5.jpg "s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]")
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s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]
![s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]](http://images.slideplayer.com./25/7665137/slides/slide_6.jpg "s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]")
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s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]
![s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]](http://images.slideplayer.com./25/7665137/slides/slide_7.jpg "s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]")
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s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]
![s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]](http://images.slideplayer.com./25/7665137/slides/slide_8.jpg "s1s1 s2s2 s3s3 a b c d e f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ]")
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s1s1 s2s2 s3s3 a b c d e f Event Queue [ bcdef ] Event point: [ a ] U = { s1 } C = { } L = { } T = [ s1 ]
![s1s1 s2s2 s3s3 a b c d e f Event Queue [ bcdef ] Event point: [ a ] U = { s1 } C = { } L = { } T = [ s1 ]](http://images.slideplayer.com./25/7665137/slides/slide_9.jpg "s1s1 s2s2 s3s3 a b c d e f Event Queue [ bcdef ] Event point: [ a ] U = { s1 } C = { } L = { } T = [ s1 ]")
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s1s1 s2s2 s3s3 a b c e d f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ] g s4s4
![s1s1 s2s2 s3s3 a b c e d f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ] g s4s4](http://images.slideplayer.com./25/7665137/slides/slide_10.jpg "s1s1 s2s2 s3s3 a b c e d f Event Queue [ ] Event point: [ ] U = { } C = { } L = { } T = [ ] g s4s4")
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s1s1 s2s2 s3s3 a b c d e f Event Queue [ cdef ] Event point: [ b ] U = { s2 } C = { } L = { } T = [ s1 s2 ] S ’ =s2, sl = s1, find intersect S ” =s2, sr =nil, no-op
![s1s1 s2s2 s3s3 a b c d e f Event Queue [ cdef ] Event point: [ b ] U = { s2 } C = { } L = { } T = [ s1 s2 ] S ’ =s2, sl = s1, find intersect S =s2, sr =nil, no-op](http://images.slideplayer.com./25/7665137/slides/slide_11.jpg "s1s1 s2s2 s3s3 a b c d e f Event Queue [ cdef ] Event point: [ b ] U = { s2 } C = { } L = { } T = [ s1 s2 ] S ’ =s2, sl = s1, find intersect S =s2, sr =nil, no-op")
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s1s1 s2s2 s3s3 a b c d e f Event Queue [ xdef ] Event point: [ c ] U = { s3 } C = { } L = { } T = [ s1 s2 s3 ] S ’ =s3, sl = s2, find intersect->x S ” =s3, sr =nil, no-op x
![s1s1 s2s2 s3s3 a b c d e f Event Queue [ xdef ] Event point: [ c ] U = { s3 } C = { } L = { } T = [ s1 s2 s3 ] S ’ =s3, sl = s2, find intersect->x S =s3, sr =nil, no-op x](http://images.slideplayer.com./25/7665137/slides/slide_12.jpg "s1s1 s2s2 s3s3 a b c d e f Event Queue [ xdef ] Event point: [ c ] U = { s3 } C = { } L = { } T = [ s1 s2 s3 ] S ’ =s3, sl = s2, find intersect->x S =s3, sr =nil, no-op x")
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s1s1 s2s2 s3s3 a b c d e f Event Queue [ def ] Event point: [ x ] U = { } C = { s2,s3 } L = { } Report intersection: T = [ s1 s3 s2 ] S ’ =s3, sl = s1, find intersect->y S ” =s2, sr =nil, no-op Y=d x
![s1s1 s2s2 s3s3 a b c d e f Event Queue [ def ] Event point: [ x ] U = { } C = { s2,s3 } L = { } Report intersection: T = [ s1 s3 s2 ] S ’ =s3, sl = s1, find intersect->y S =s2, sr =nil, no-op Y=d x](http://images.slideplayer.com./25/7665137/slides/slide_13.jpg "s1s1 s2s2 s3s3 a b c d e f Event Queue [ def ] Event point: [ x ] U = { } C = { s2,s3 } L = { } Report intersection: T = [ s1 s3 s2 ] S ’ =s3, sl = s1, find intersect->y S =s2, sr =nil, no-op Y=d x")
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s1s1 s2s2 s3s3 a b c d e f Event Queue [ ef ] Event point: [ d ] U = { } C = { s3 } L = { s1 } Report intersection T = [ s3 s2 ] S ’ =s3, sl = nil, S ” =s3, sr =s2, intersect above scanline x
![s1s1 s2s2 s3s3 a b c d e f Event Queue [ ef ] Event point: [ d ] U = { } C = { s3 } L = { s1 } Report intersection T = [ s3 s2 ] S ’ =s3, sl = nil, S =s3, sr =s2, intersect above scanline x](http://images.slideplayer.com./25/7665137/slides/slide_14.jpg "s1s1 s2s2 s3s3 a b c d e f Event Queue [ ef ] Event point: [ d ] U = { } C = { s3 } L = { s1 } Report intersection T = [ s3 s2 ] S ’ =s3, sl = nil, S =s3, sr =s2, intersect above scanline x")
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s1s1 s2s2 s3s3 a b c d e f Event Queue [ f ] Event point: [ e ] U = { } C = {} L = { s2 } T = [ s3 ] Sl=s3, sr = nil, no-op x
![s1s1 s2s2 s3s3 a b c d e f Event Queue [ f ] Event point: [ e ] U = { } C = {} L = { s2 } T = [ s3 ] Sl=s3, sr = nil, no-op x](http://images.slideplayer.com./25/7665137/slides/slide_15.jpg "s1s1 s2s2 s3s3 a b c d e f Event Queue [ f ] Event point: [ e ] U = { } C = {} L = { s2 } T = [ s3 ] Sl=s3, sr = nil, no-op x")
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s1s1 s2s2 s3s3 a b c d e f Event Queue [] Event point: [ f ] U = { } C = {} L = { s3 } T = [ ] x
![s1s1 s2s2 s3s3 a b c d e f Event Queue [] Event point: [ f ] U = { } C = {} L = { s3 } T = [ ] x](http://images.slideplayer.com./25/7665137/slides/slide_16.jpg "s1s1 s2s2 s3s3 a b c d e f Event Queue [] Event point: [ f ] U = { } C = {} L = { s3 } T = [ ] x")
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