CSI - 5127 Applied Computational Geometry
Split Tree (example)
Winter 2017
J.-L. De Carufel (U. of O.)
Applied Computational Geometry
Winter 2017
1/3
Example of Split Tree
R(S)
R(u) = R(S)
R0 (u) = R0 (S)
u
R0 (S)
J.-L. De Carufel (U. of O.)
Applied Computational Geometry
Winter 2017
2/3
Example of Split Tree
R(S)
u
R0 (S)
J.-L. De Carufel (U. of O.)
v
Applied Computational Geometry
w
Winter 2017
2/3
Example of Split Tree
R(S)
u
R0 (S)
J.-L. De Carufel (U. of O.)
v
Applied Computational Geometry
w
Winter 2017
2/3
Example of Split Tree
R(S)
u
R0 (S)
J.-L. De Carufel (U. of O.)
v
Applied Computational Geometry
w
Winter 2017
2/3
Example of Split Tree
R(S)
u
R0 (S)
J.-L. De Carufel (U. of O.)
v
Applied Computational Geometry
w
Winter 2017
2/3
Example of Split Tree
R(S)
u
R0 (S)
J.-L. De Carufel (U. of O.)
v
Applied Computational Geometry
w
Winter 2017
2/3
Example of Split Tree
R(S)
u
R0 (S)
J.-L. De Carufel (U. of O.)
v
Applied Computational Geometry
w
Winter 2017
2/3
Example of Split Tree
R(S)
u
R0 (S)
J.-L. De Carufel (U. of O.)
v
Applied Computational Geometry
w
Winter 2017
2/3
Example of Split Tree
R(S)
u
R0 (S)
J.-L. De Carufel (U. of O.)
v
Applied Computational Geometry
w
Winter 2017
2/3
Example of Split Tree
R(S)
u
R0 (S)
J.-L. De Carufel (U. of O.)
v
Applied Computational Geometry
w
Winter 2017
2/3
Example of Split Tree
R(S)
u
R0 (S)
J.-L. De Carufel (U. of O.)
v
Applied Computational Geometry
w
Winter 2017
2/3
p3
p4
s=2
p9
p5
p11
p2
p6
p1
p2
p1
J.-L. De Carufel (U. of O.)
p8
p7
p10
p12
p6
p5 p7 p12 p8 p10
p11 p9
p4 p3
Applied Computational Geometry
Winter 2017
3/3
p3
p4
s=2
p9
p5
p11
p2
p6
p1
p2
p1
J.-L. De Carufel (U. of O.)
p8
p7
p10
p12
p6
p5 p7 p12 p8 p10
p11 p9
p4 p3
Applied Computational Geometry
Winter 2017
3/3
p3
p4
s=2
p9
p5
p11
p2
p6
p1
p2
p1
J.-L. De Carufel (U. of O.)
p8
p7
p10
p12
p6
p5 p7 p12 p8 p10
p11 p9
p4 p3
Applied Computational Geometry
Winter 2017
3/3
p3
p4
s=2
p9
p5
p11
p2
p6
p1
p2
p1
J.-L. De Carufel (U. of O.)
p8
p7
p10
p12
p6
p5 p7 p12 p8 p10
p11 p9
p4 p3
Applied Computational Geometry
Winter 2017
3/3
p3
p4
s=2
p9
p5
p11
p2
p6
p1
p2
p1
p8
p7
p10
p12
p6
p5 p7 p12 p8 p10
p11 p9
p4 p3
{{p1 }, {p7 , p8 , p10 , p12 }} ,
J.-L. De Carufel (U. of O.)
Applied Computational Geometry
Winter 2017
3/3
p3
p4
s=2
p9
p5
p11
p2
p6
p1
p2
p1
p8
p7
p10
p12
p6
p5 p7 p12 p8 p10
p11 p9
p4 p3
{{p1 }, {p7 , p8 , p10 , p12 }} ,
J.-L. De Carufel (U. of O.)
Applied Computational Geometry
Winter 2017
3/3
p3
p4
s=2
p9
p5
p11
p2
p6
p1
p2
p1
p8
p7
p10
p12
p6
p5 p7 p12 p8 p10
p11 p9
p4 p3
{{p1 }, {p7 , p8 , p10 , p12 }} , {{p2 , p3 , p4 , p5 }, {p7 , p8 , p10 , p12 }} ,
J.-L. De Carufel (U. of O.)
Applied Computational Geometry
Winter 2017
3/3
p3
p4
s=2
p9
p5
p11
p2
p6
p1
p2
p1
p8
p7
p10
p12
p6
p5 p7 p12 p8 p10
p11 p9
p4 p3
{{p1 }, {p7 , p8 , p10 , p12 }} , {{p2 , p3 , p4 , p5 }, {p7 , p8 , p10 , p12 }} ,
J.-L. De Carufel (U. of O.)
Applied Computational Geometry
Winter 2017
3/3
p3
p4
s=2
p9
p5
p11
p2
p6
p1
p2
p1
p8
p7
p10
p12
p6
p5 p7 p12 p8 p10
p11 p9
p4 p3
{{p1 }, {p7 , p8 , p10 , p12 }} , {{p2 , p3 , p4 , p5 }, {p7 , p8 , p10 , p12 }} ,
J.-L. De Carufel (U. of O.)
Applied Computational Geometry
Winter 2017
3/3
p3
p4
s=2
p9
p5
p11
p2
p6
p1
p2
p1
p8
p7
p10
p12
p6
p5 p7 p12 p8 p10
p11 p9
p4 p3
{{p1 }, {p7 , p8 , p10 , p12 }} , {{p2 , p3 , p4 , p5 }, {p7 , p8 , p10 , p12 }} ,
{{p1 }, {p6 , p9 , p11 }} ,
J.-L. De Carufel (U. of O.)
Applied Computational Geometry
Winter 2017
3/3
p3
p4
s=2
p9
p5
p11
p2
p6
p1
p2
p1
p8
p7
p10
p12
p6
p5 p7 p12 p8 p10
p11 p9
p4 p3
{{p1 }, {p7 , p8 , p10 , p12 }} , {{p2 , p3 , p4 , p5 }, {p7 , p8 , p10 , p12 }} ,
{{p1 }, {p6 , p9 , p11 }} ,
J.-L. De Carufel (U. of O.)
Applied Computational Geometry
Winter 2017
3/3
p3
p4
s=2
p9
p5
p11
p2
p6
p1
p2
p1
p8
p7
p10
p12
p6
p5 p7 p12 p8 p10
p11 p9
p4 p3
{{p1 }, {p7 , p8 , p10 , p12 }} , {{p2 , p3 , p4 , p5 }, {p7 , p8 , p10 , p12 }} ,
{{p1 }, {p6 , p9 , p11 }} , {{p2 }, {p6 }} , {{p3 , p4 , p5 }, {p6 }} , {{p2 }, {p9 , p11 }} ,
{{p3 , p4 , p5 }, {p9 , p11 }} ,
J.-L. De Carufel (U. of O.)
Applied Computational Geometry
Winter 2017
3/3
p3
p4
s=2
p9
p5
p11
p2
p6
p1
p2
p1
p8
p7
p10
p12
p6
p5 p7 p12 p8 p10
p11 p9
p4 p3
{{p1 }, {p7 , p8 , p10 , p12 }} , {{p2 , p3 , p4 , p5 }, {p7 , p8 , p10 , p12 }} ,
{{p1 }, {p6 , p9 , p11 }} , {{p2 }, {p6 }} , {{p3 , p4 , p5 }, {p6 }} , {{p2 }, {p9 , p11 }} ,
{{p3 , p4 , p5 }, {p9 , p11 }} , {{p1 }, {p2 , p3 , p4 , p5 }} , {{p7 , p8 , p10 , p12 }, {p6 }} ,
{{p7 , p8 , p10 , p12 }, {p9 , p11 }} , {{p2 }, {p3 , p4 , p5 }} , {{p7 }, {p8 }} ,
{{p7 }, {p10 }} , {{p12 }, {p8 , p10 }} , {{p6 }, {p9 , p11 }} , {{p3 }, {p5 }} ,
{{p4 }, {p5 }} , {{p7 }, {p12 }} , {{p8 }, {p10 }} , {{p11 }, {p9 }} , {{p4 }, {p3 }}
J.-L. De Carufel (U. of O.)
Applied Computational Geometry
Winter 2017
3/3