TY - GEN
T1 - Linear and non-linear geometric object matching with implicit representation
AU - Leow, Alex
AU - Chiang, Ming Chang
AU - Protas, Hillary
AU - Thompson, Paul
AU - Vese, Luminita
AU - Huang, Henry S.C.
PY - 2004
Y1 - 2004
N2 - This paper deals with the matching of geometric objects including points, curves, surfaces, and subvolumes using implicit object representations in both linear and non-linear settings. This framework can be applied to feature-based non-linear image warping in biomedical imaging with the deformation constrained to be one-to-one, onto, and diffeomorphic. Moreover, a theoretical connection is established between the well known Hausdorff metric and the framework proposed in this paper. A general strategy for matching geometric objects in both 2D and 3D is discussed. The corresponding Euler-Lagrange equations are presented and gradient descent method is employed to solve the time dependent partial differential equations.
AB - This paper deals with the matching of geometric objects including points, curves, surfaces, and subvolumes using implicit object representations in both linear and non-linear settings. This framework can be applied to feature-based non-linear image warping in biomedical imaging with the deformation constrained to be one-to-one, onto, and diffeomorphic. Moreover, a theoretical connection is established between the well known Hausdorff metric and the framework proposed in this paper. A general strategy for matching geometric objects in both 2D and 3D is discussed. The corresponding Euler-Lagrange equations are presented and gradient descent method is employed to solve the time dependent partial differential equations.
UR - http://www.scopus.com/inward/record.url?scp=10044239346&partnerID=8YFLogxK
U2 - 10.1109/ICPR.2004.1334627
DO - 10.1109/ICPR.2004.1334627
M3 - Conference contribution
AN - SCOPUS:10044239346
SN - 0769521282
T3 - Proceedings - International Conference on Pattern Recognition
SP - 710
EP - 713
BT - Proceedings of the 17th International Conference on Pattern Recognition, ICPR 2004
A2 - Kittler, J.
A2 - Petrou, M.
A2 - Nixon, M.
T2 - Proceedings of the 17th International Conference on Pattern Recognition, ICPR 2004
Y2 - 23 August 2004 through 26 August 2004
ER -