From Bayes to PDEs in image warping
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From Bayes to PDEs in image warping. / Nielsen, Mads; Markussen, Bo.
Handbook of Mathematical Models in Computer Vision. USA : Springer, 2006. s. 259-272.Publikation: Bidrag til bog/antologi/rapport › Bidrag til bog/antologi › Forskning
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TY - CHAP
T1 - From Bayes to PDEs in image warping
AU - Nielsen, Mads
AU - Markussen, Bo
PY - 2006
Y1 - 2006
N2 - In many disciplines of computer vision, such as stereo vision, flow computation, medical image registration, the essential computational problem is the geometrical alignment of images. In this chapter we describe how such an alignment may be obtained as statistical optimal through solving a partial differential equation (PDE) in the matching function. We treat different choices of matching criteria such as minimal square difference, maximal correlation, maximal mutual information, and several smoothness criteria. All are treated from a Bayes point of view leading to a functional minimization problem solved through an Euler-Lagrange formulation as the solution to a PDE. We try in this chapter to collect the most used methodologies and draw conclusions on their properties and similarities.
AB - In many disciplines of computer vision, such as stereo vision, flow computation, medical image registration, the essential computational problem is the geometrical alignment of images. In this chapter we describe how such an alignment may be obtained as statistical optimal through solving a partial differential equation (PDE) in the matching function. We treat different choices of matching criteria such as minimal square difference, maximal correlation, maximal mutual information, and several smoothness criteria. All are treated from a Bayes point of view leading to a functional minimization problem solved through an Euler-Lagrange formulation as the solution to a PDE. We try in this chapter to collect the most used methodologies and draw conclusions on their properties and similarities.
U2 - 10.1007/0-387-28831-7_16
DO - 10.1007/0-387-28831-7_16
M3 - Book chapter
SN - 978-0-387-26371-7
SP - 259
EP - 272
BT - Handbook of Mathematical Models in Computer Vision
PB - Springer
CY - USA
ER -
ID: 60597