Image Motion Analysis

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Brenda Glenn
6 years ago
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1 Deprtmet o Computer Egieerig Uiersit o Cliori t St Cru Imge Motio Alsis CME 64: Imge Alsis Computer Visio Hi o

Imge sequece motio Deprtmet o Computer Egieerig Uiersit o Cliori t St Cru Imge sequece processig A imge sequece is series o N imges tke t iscrete time istts t k t k t, where t is the

2 Imge sequece motio Deprtmet o Computer Egieerig Uiersit o Cliori t St Cru Imge sequece processig A imge sequece is series o N imges tke t iscrete time istts t k t k t, where t is the ie time iterl, k,,..., N A commo source o imge sequeces is ieo, where the time iterl is /3 seco or /4 seco. he time iterl c be icrese b subsmplig the origil ieo sequeces A emple o D motio

3 Imge sequece motio Deprtmet o Computer Egieerig Uiersit o Cliori t St Cru Aother emple Sthetic sequece osemite Opticl low i rme Courtes o Sho. Ju, Michel J. Blck, All D. Jepso.

4 Imge sequece motio Deprtmet o Computer Egieerig Uiersit o Cliori t St Cru Oe more emple

5 he problem o imge motio lsis Deprtmet o Computer Egieerig Uiersit o Cliori t St Cru hree subproblems i motio lsis Correspoece/ligmet/registrtio: piel-wise ese correspoeces cross cosecutie imges i the sequece 3D recostructio: gie umber o correspoeces, possibl cmer s itrisic prmeters, recostruct the 3D motio structure o the obsere worl Motio segmettio: wht re the regios i the imge tht correspo to ieret moig objects he ierece betwee motio lsis 3D recostructio Sice imge sequece re smple temporril t usull high rme rts, the reltie smll motio iel c be pproimte usig ieretil or istteous ormultios Motio iel c be recoere without goig through ull 3D recostructio

6 Uerstig imge motio Deprtmet o Computer Egieerig Uiersit o Cliori t St Cru Motio iel is the D ector iel o elocities o the imge poits, iuce b the reltie motio betwee the iewig cmer the obsere scee Imge motio iels re usull cuse b Moig cmer sttic scee Sttior cmer scee with sigle rigi motio Moig cmer scee with sigle rigi motio Sttior/moig cmer multiple scee object with ieret rigi motios Sttior/moig cmer o-rigi motio Methoolog For ech tpe o motio iel, erie the ssocite motio moel i lticl orms. As the result, Motio iel lsis Estimtio o the moel prmeters

7 Deprtmet o Computer Egieerig Uiersit o Cliori t St Cru Motio iel or moig ple the ect orm I ple stisies the equtio the object motio is R p R R R R p p R p p, thereore, Sice the

8 Deprtmet o Computer Egieerig Uiersit o Cliori t St Cru Motio iel or moig ple the ect orm he motio iel cuse b the rigi motio o scee ple is homogrph H R he correspoig piels stis the reltio p Hp

9 Deprtmet o Computer Egieerig Uiersit o Cliori t St Cru he bsic equtio o motio iel Istteous 3D motio: ssume the cmer is sttior, the rigi scee moes with trsltio elocit gulr elocit, which is 3 ector i the is-gle orm, the the 3D elocit or scee poit is V o / V V V V or

10 Deprtmet o Computer Egieerig Uiersit o Cliori t St Cru he bsic equtio o motio iel For simplicit, we will use the ollowig imge coorites i the ollowig ormule he perspectie projectio becomes ke the eritie o both sies with respect to time p / / or u true true V V V V

11 Deprtmet o Computer Egieerig Uiersit o Cliori t St Cru he bsic equtio o motio iel his c be writte s he motio hs two compoets: oe etermie ol b rottio the other etermie ol b trsltio he rottio compoet oes ot epe o epth

12 Deprtmet o Computer Egieerig Uiersit o Cliori t St Cru Specil motio: trsltio ol - istteous orm I there is ot rottio, the. Substitutig this ito les to where is clle the ishig poit he motio iel cuse b pure trsltio is ril I, the object moes w rom the cmer, the motio ectors poit to the ishig poit. he ishig poit is clle the ocus o cotrctio. I, the object moes towr the cmer, the motio ectors poit w rom the ishig poit. he ishig poit is the clle the ocus o epsio., > <

13 Deprtmet o Computer Egieerig Uiersit o Cliori t St Cru Specil motio: trsltio ol - istteous orm I, the becomes All the motio ectors re prllel to [, ]

14 Deprtmet o Computer Egieerig Uiersit o Cliori t St Cru Specil motio: moig ple - istteous orm Assume the ple is, which c be writte s or Substitutig this ito les to /

15 Deprtmet o Computer Egieerig Uiersit o Cliori t St Cru Specil motio: moig ple - istteous orm he motio iel o moig ple is qurtic polomil i imge coorites, o recoer this motio iel, eight prmeters ee to be estimte where

Interpolation. 1. What is interpolation?

Interpolation. 1. What is interpolation? Iterpoltio. Wht is iterpoltio? A uctio is ote give ol t discrete poits such s:.... How does oe id the vlue o t other vlue o? Well cotiuous uctio m e used to represet the + dt vlues with pssig through the