>>
( 5 )( 5 )
>>
>>
( 1 )( 1 )
( 4 )( 4 )
( 2 )( 2 )
>>
>>
( 3 )( 3 )
>>
( 7 )( 7 )
>>
>>
( 6 )( 6 )
Interpolacni polynom 5ti a 9ti bodu
bla
Body [x,y] pro interpolaci, prvnich 5 bodu je pouzito pro prvni polynom.
K
K K
K K
K K
>>
>>
( 8 )( 8 )
K K
K
K
K
K
:
( 1 0 )( 1 0 )
>>
>>
>>
( 8 )( 8 )
( 9 )( 9 )K K
K K
K K K
K
Polynomy prochazejici pocatkem a majici hodnotu 1 pro x=1, 2, 3, 4, modry graf
navic ma hodnotu 1 v x=1/2, 3/2, 5/2, 7/2
K K
>>
( 1 3 )( 1 3 )
( 1 4 )( 1 4 )
( 1 1 )( 1 1 )
( 1 5 )( 1 5 )
>>
>>
>>
>>
>>
( 1 2 )( 1 2 )
K K
K
K
K
K
Prirozeny splaj
Interpoluji se vzdy jen dva nasledujici body polynomem tretiho stupne,
interpolacni polynomy maji na spojich prvni a druhou derivaci stejnou, na krajich
je druha derivace nulova.
K
K 1
K K
>>
>>
>>
( 1 8 )( 1 8 )
( 1 7 )( 1 7 )
( 1 5 )( 1 5 )
>>
>>
>>
( 1 6 )( 1 6 )
K
K
K K K
K K
K
K : K :
K K
>>