Lecture 5 - Image processing 1

More documents

Recommendations

Info

Transformation function Specifica7on of the transforma7on func7on fRigid / Affine registra9on • few parameters • global representa9on of the transforma9on Deformable registra9on • many parameters • local representa9on of the transforma9on
Rigid registration Angles and length of line segments are preserved • transla9on • rota9on In 2D: • 2 parameters for transla9on • 1 angle for rota9on !#"xy$ !& = cos! 'sin!#% " sin! cos!$ !&#%"ij$ !& + #%#"t xt y$&&%In 3D: • 3 parameters for transla9on • 3 angles for rota9on
Page 2: Overview Block 2: Image processi
Page 5 and 6: 1. Mul7ple imaging modali7es Mot
Page 7 and 8: Overview Today: Intra-‐modalit
Page 9 and 10: Problem formulation Image I i, j(
Page 11 and 12: Problem formulation Consider the
Page 13: Image transformation !#"xy$&%= f i
Page 17 and 18: Affine registration Most general
Page 19 and 20: Optimization problem Determining
Page 21 and 22: Calculating derivatives Calcula9ng
Page 23 and 24: Calculating derivatives !e ij!" k=
Page 25 and 26: Example: affine transforma9on !##
Page 27 and 28: Bilinear interpolation (i, j)I ( x
Page 29 and 30: Consider smoothed image: I SCalcu
Page 31 and 32: Image gradient Image y-‐compon
Page 33 and 34: Local minima Mean Squared Differ

Lecture 5 - Image processing 1

Create successful ePaper yourself

Delete template?

Save as template?