A Registration Error Estimation Framework for Correlative Imaging

Correlative imaging workflows are now widely used in bio-imaging and aims to image the same sample using at least two different and complementary imaging modalities. Part of the workflow relies on finding the transformation linking a source image to a target image. We are specifically interested in the estimation of registration error in point-based registration. We propose an application of multivariate linear regression to solve the registration problem allowing us to propose a framework for the estimation of the associated error in the case of rigid and affine transformations and with anisotropic noise. These developments can be used as a decision-support tool for the biologist to analyze multimodal correlative images.

[1]  Andrea Picco,et al.  Precise, correlated fluorescence microscopy and electron tomography of lowicryl sections using fluorescent fiducial markers. , 2012, Methods in cell biology.

[2]  Mark Holden,et al.  A Review of Geometric Transformations for Nonrigid Body Registration , 2008, IEEE Transactions on Medical Imaging.

[3]  Angelika Unterhuber,et al.  Correlated Multimodal Imaging in Life Sciences: Expanding the Biomedical Horizon , 2020, Frontiers in Physics.

[4]  Purang Abolmaesumi,et al.  Distribution of Target Registration Error for Anisotropic and Inhomogeneous Fiducial Localization Error , 2009, IEEE Transactions on Medical Imaging.

[5]  Ed A. K. Cohen,et al.  Analysis of Point Based Image Registration Errors With Applications in Single Molecule Microscopy , 2013, IEEE Transactions on Signal Processing.

[6]  Martin Schorb,et al.  Correlated cryo-fluorescence and cryo-electron microscopy with high spatial precision and improved sensitivity. , 2014, Ultramicroscopy.

[7]  Jean Salamero,et al.  eC-CLEM: flexible multidimensional registration software for correlative microscopies , 2017, Nature Methods.

[8]  C. R. Rao,et al.  Information and the Accuracy Attainable in the Estimation of Statistical Parameters , 1992 .

[9]  Nicolas Chenouard,et al.  Icy: an open bioimage informatics platform for extended reproducible research , 2012, Nature Methods.

[10]  P. Schönemann,et al.  A generalized solution of the orthogonal procrustes problem , 1966 .

[11]  Charles E. Heckler,et al.  Applied Multivariate Statistical Analysis , 2005, Technometrics.

[12]  Manja Luckner,et al.  Label-free 3D-CLEM Using Endogenous Tissue Landmarks , 2018, iScience.

[13]  Jay B. West,et al.  The distribution of target registration error in rigid-body point-based registration , 2001, IEEE Transactions on Medical Imaging.

[14]  W. Kabsch A discussion of the solution for the best rotation to relate two sets of vectors , 1978 .