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Image atlas construction via intrinsic averaging on the manifold of images

9 years 10 months ago
Image atlas construction via intrinsic averaging on the manifold of images
In this paper, we propose a novel algorithm for computing an atlas from a collection of images. In the literature, atlases have almost always been computed as some types of means such as the straightforward Euclidean means or the more general Karcher means on Riemannian manifolds. In the context of images, the paper’s main contribution is a geometric framework for computing image atlases through a two-step process: the localization of mean and the realization of it as an image. In the localization step, a few nearest neighbors of the mean among the input images are determined, and the realization step then proceeds to reconstruct the atlas image using these neighbors. Decoupling the localization step from the realization step provides the flexibility that allows us to formulate a general algorithm for computing image atlas. More specifically, we assume the input images belong to some smooth manifold M modulo image rotations. We use a graph structure to represent the manifold, and ...
Yuchen Xie, Jeffrey Ho, Baba C. Vemuri
Added 06 Dec 2010
Updated 06 Dec 2010
Type Conference
Year 2010
Where CVPR
Authors Yuchen Xie, Jeffrey Ho, Baba C. Vemuri
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