Non-rigid Image Registration using Constrained Optimization 


Vol. 29,  No. 10, pp. 1402-1413, Oct.  2004


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  Abstract

In non-rigid image registration, the Jacobian determinant of the estimated deformation should be positive everywhere since physical deformations are always invertible. We propose a constrained optimization technique that ensures the positiveness of Jacobian determinant for cubic B-spline based deformation ‘ We derived sufficient conditions for positive Jacobian determinant by bounding the differences of consecutive coefficients. The parameter set that satisfies the conditions is convex, it is the intersection of simple half spaces ‘ We solve the optimization problem using a gradient projection method with Dykstra’s cyclic projection algorithm. Analytical results, simulations and experimental results with inhale/exhale CT images with comparison to other methods are presented.

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  Cite this article

[IEEE Style]

J. Kim, "Non-rigid Image Registration using Constrained Optimization," The Journal of Korean Institute of Communications and Information Sciences, vol. 29, no. 10, pp. 1402-1413, 2004. DOI: .

[ACM Style]

Jeongtae Kim. 2004. Non-rigid Image Registration using Constrained Optimization. The Journal of Korean Institute of Communications and Information Sciences, 29, 10, (2004), 1402-1413. DOI: .

[KICS Style]

Jeongtae Kim, "Non-rigid Image Registration using Constrained Optimization," The Journal of Korean Institute of Communications and Information Sciences, vol. 29, no. 10, pp. 1402-1413, 10. 2004.

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pISSN : 1226 - 4717
eISSN : 2287 - 3880