Volume 2, Algorithms - mipav - National Institutes of Health

M I P A V
M e d i c a l I m a g e P r o c e s s i n g, A n a l y s i s, & V i s u a l i z a t i o n
Chapter 2, Using MIPAV Algorithms:
Chapter 1
Understanding MIPAV capabilities47
MIPAV Algorithms Overview................................................. 47
Introducing MIPAV ............................................................. 47
Understanding MIPAV capabilities ......................................... 48
Developing new tools using the API ..................................... 49
Chapter 2 Using MIPAV Algorithms ......................................... 50
Recording algorithms usage with the history feature ............... 50
Introducing MIPAV algorithms............................................. 51
Cost functions used in MIPAV algorithms ............................... 63
Background .................................................................. 63
Powell algorithm ...................................................................64
Correlation ratio ...................................................................64
Image types .................................................................... 65
Laplacian Zero-Crossing.........................................................65
Gradient Magnitude...............................................................66
Least Squares ......................................................................66
Image types .................................................................... 67
Normalized cross correlation ..................................................67
Normalized cross correlation .............................................. 68
Image types .................................................................... 69
Normalized mutual information...............................................70
Image types .................................................................... 70
Degrees of freedom ..............................................................71
References...........................................................................72
Interpolation methods used in MIPAV.................................... 74
Bilinear Interpolation ..................................................... 74
Trilinear Interpolation .................................................... 75
B-spline basis interpolations............................................ 76
Lagrange interpolations .................................................. 78
Gaussian ...................................................................... 80
Windowed sinc .............................................................. 82
References...........................................................................84
Autocorrelation Coefficients ................................................. 85
Background .................................................................. 85
MIPAV User’s Guide, Volume 2, Algorithms 4
12/5/08