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Cited by 323

The DOI matches its Crossref record; 38 of the 38 references it cites were found in a registry or an index.

Elastic Registration of Biological Images Using Vector-Spline Regularization

Open access
Sorzano, C.O.S., Thevenaz, P., Unser, M.·2005·IEEE Transactions on Biomedical Engineering

Abstract

We present an elastic registration algorithm for the alignment of biological images. Our method combines and extends some of the best techniques available in the context of medical imaging. We express the deformation field as a B-spline model, which allows us to deal with a rich variety of deformations. We solve the registration problem by minimizing a pixelwise mean-square distance measure between the target image and the warped source. The problem is further constrained by way of a vector-spline regularization which provides some control over two independent quantities that are intrinsic to the deformation: its divergence, and its curl. Our algorithm is also able to handle soft landmark constraints, which is particularly useful when parts of the images contain very little information or when its repartition is uneven. We provide an optimal analytical solution in the case when only landmarks and smoothness considerations are taken into account. We have applied our approach to perform the elastic registration of images such as electrophoretic gels and fly embryos. The validation of the results by experts has been favorable in all cases.

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Metadata

Authors
Sorzano, C. O. S., Thevenaz, P., & Unser, M.
Venue
IEEE Transactions on Biomedical Engineering
Published
2005-04
Volume
52
Issue
4
Pages
652-663
ISSN
0018-9294 (ISSN-L)
OpenAlex
W2120967246
Cited by
323
References
38
FWCI
25.93
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Elastic Registration of Biological Images Using Vector-Spline Regularization. https://app.cochat.ai/papers/10.1109/tbme.2005.844030
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Sorzano, C. O. S., Thevenaz, P., & Unser, M. (2005). Elastic Registration of Biological Images Using Vector-Spline Regularization. IEEE Transactions on Biomedical Engineering. https://doi.org/10.1109/tbme.2005.844030

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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.