Path planning using intervals and graphs

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HAL Id: hal-00845173

https://hal.archives-ouvertes.fr/hal-00845173

Submitted on 16 Jul 2013

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Path planning using intervals and graphs

Luc Jaulin

To cite this version:

Luc Jaulin. Path planning using intervals and graphs. Reliable Computing Journal, 2001, 7 (1), pp.1-15. �hal-00845173�

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PATH PLANNING USING INTERVALS AND GRAPHS

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(12)

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(13)

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(14)

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(15)

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(16)

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(17)

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(18)

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& *) $#&" -)2 #3 !"#$%&!'"()+ ()*" -! %-0'"-,)24

5. Conclusion

5- &' ! 1"1)(6 " 0$-7,%("& $-8!1"0) "11($"0' '"! #))- %!)2 &$ !$+9) &') 1"&' 1+"-- -, 1($#+)*4 5-&)(9"+ "-"+3! ! ! %!)2 .$( &') 7(!& & *) - &' ! 0$-&):& &$ 1($9) /')&')( " #$:

$. &') 0$-7,%("& $- !1"0) ! .)"! #+) $( -$&4 ;$*# - -, -&)(9"+ &$$+! "-2 ,("1' &$$+!6 &/$

"+,$( &'*! '"9) #))- 1()!)-&)2 &$ 7-2 " ,$$2 .)"! #+) 1"&' .($* " !&"(& 0$-7,%("& $- &$

" ,$"+ 0$-7,%("& $-4 <! "- "11+ 0"& $-6 &') 1($#+)* $. 1+"-- -, &') 1"&' $. " 1$+3,$-"+

( , 2 $#=)0& "*$-, !),*)-& $#!&"0+)! '"! #))- 0$-! 2)()24 >-) $. &') *" - + * &"& $- $.

&') 1($1$!)2 "11($"0' ! &'"& &') 0$*1%& -, & *) -0()"!)! ):1$-)-& "++3 / &' ()!1)0& &$

&') -%*#)( $. 2),()) $. .())2$* $. &') $#=)0&4

References

?@A B$ !!$--"&6 C4D46 E"9)(=$-6 B4 "-2 F)(+)&6 C4G46 !"#$%&'!( )! *+ ,-.-/%&'!0 1!,"!1/%-$

!/ 1*+$%2"+/%-$6 H6 I)(*)!6 @JKK4

?HA B($$L!6 M4<4 "-2 N$O"-$8GP()O6 Q4<46 < !%#2 9 ! $- "+,$( &'* - 0$-7,%("& $- !1"0) .$( 7-21"&' / &' ($&"& $-R 3444 ,+$(5 -$ 67(5 8+$ +$) 97.!,5 @STHU6 @JKS6 HHV8HWW4

?WA D)$6 X46 :,+1#( /#!-,7 ;%/# +11*%"+/%-$( /- !$<%$!!,%$< +$) "-=1'/!, ("%!$"!6 G()-& 0)8I"++6 @JYV4

?VA D =L!&("6 Z4[464 < -$&) $- &/$ 1($#+)*! - 0$--)0& $- / &' ,("1'!6 >'=!,%("#!

8+/#? @6 @JSJ6 H\J8HY@4

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