Closed-Form Alignment of Active Surface Models Using Splines
D. Schmitter, M. Unser
Proceedings of the Fourteenth IEEE International Symposium on Biomedical Imaging: From Nano to Macro (ISBI'17), Melbourne, Commonwealth of Australia, April 18-21, 2017, pp. 219–222.
We propose a new formulation of the active surface model in 3D. Instead of aligning a shape dictionary through the similarity transform, we consider more flexible affine transformations and introduce an alignment method that is unbiased in the sense that it implicitly constructs a common reference shape. Our formulation is expressed in the continuous domain and we provide an algorithm to exactly implement the framework using spline-based parametric surfaces. We test our model on real 3D MRI data. A comparison with the classical active shape model shows that our method allows us to capture shape variability in a dictionary in a more precise way.
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