CVFX Lecture 12: Parametric Transformations and Scattered Data Interpolation

Описание: ECSE-6969 Computer Vision for Visual Effects
Rich Radke, Rensselaer Polytechnic Institute
Lecture 12: Parametric Transformations and Scattered Data Interpolation (3/3/14)

0:00:01 Computer Vision for Visual Effects
0:00:43 Dense correspondence vs. feature matching
0:01:51 Motion vectors
0:05:40 Parametric transformations
0:06:11 Translation
0:06:31 Rotation
0:06:59 Similarity transformations
0:08:03 Shears
0:09:40 Affine transformations
0:10:50 Projective transformations
0:13:51 Estimating projective transformations
0:18:33 Pre-normalizing correspondences
0:19:59 The Direct Linear Transform (DLT)
0:21:29 Outlier rejection
0:25:59 Scattered data interpolation
0:26:50 Bilinear interpolation
0:28:57 Thin-plate spline interpolation
0:38:00 Thin-plate interpolation example
0:44:27 B-spline interpolation
0:45:50 Diffeomorphic transformations

Follows Sections 5.1-5.2 of the textbook. http://cvfxbook.com

Key references:
R. Hartley and A. Zisserman. Multiple View Geometry in Computer Vision. Cambridge University Press, 2nd edition, 2004.
http://www.robots.ox.ac.uk:5000/~vgg/...

F. Bookstein. Principal warps: thin-plate splines and the decomposition of deformations. IEEE Transactions on Pattern Analysis and Machine Intelligence, 11(6):567--85, June 1989.
http://dx.doi.org/10.1109/34.24792

S. Joshi and M. Miller. Landmark matching via large deformation diffeomorphisms. IEEE Transactions on Image Processing, 9(8):1357--70, Aug. 2000.
http://dx.doi.org/10.1109/83.855431