Abstract
We deal with multiple image warping, which computes deformation fields between an image and a collection of images, as an extension of variational image registration. Using multiple image warping, we develop a variational method for the computation of average images of biological organs in three-dimensional Euclidean space. The average shape of three-dimensional biological organs is an essential feature to discriminate abnormal organs from normal organs. There are two kinds of volumetric image sets in medical image analysis. The first one is a collection of static volumetric data of an organ and/or organs. The other is a collection of temporal volumetric data of an organ and/or organs. A collection of temporal volumetric beating hearts is an example of temporal volumetric data. For spatiotemporal volumetric data, we can compute (1) the temporal average, which is the average of a heart during a cycle, (2) the frame average, which is the average of hearts at a frame, and (3) the temporal average of frame averages.
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Inagaki, S., Itoh, H., Imiya, A. (2015). Multiple Alignment of Spatiotemporal Deformable Objects for the Average-Organ Computation. In: Agapito, L., Bronstein, M., Rother, C. (eds) Computer Vision - ECCV 2014 Workshops. ECCV 2014. Lecture Notes in Computer Science(), vol 8928. Springer, Cham. https://doi.org/10.1007/978-3-319-16220-1_25
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