We present an affine-invariant non-stationary subdivision scheme for the recursive refinement of any triangular mesh that is regular or has extraordinary vertices of valence 4. In particular, when applied to an arbitrary convex octahedron, it produces a G1-continuous surface with a blob-like shape as the limit of the recursive subdivision process. In case of a regular octahedron, the subdivision process provides an accurate representation of ellipsoids. Our scheme allows us to easily construct a new interactive 3D deformable model for use in the delineation of biomedical images, which we illustrate by examples that deal with the characterization of 3D structures with sphere-like topology such as embryos, nuclei, or brains.

Badoual, A., Novara, P., Romani, L., Schmitter, D., Unser, M. (2017). A non-stationary subdivision scheme for the construction of deformable models with sphere-like topology. GRAPHICAL MODELS, 94, 38-51 [10.1016/j.gmod.2017.10.001].

A non-stationary subdivision scheme for the construction of deformable models with sphere-like topology

Novara, P;Romani, L;
2017

Abstract

We present an affine-invariant non-stationary subdivision scheme for the recursive refinement of any triangular mesh that is regular or has extraordinary vertices of valence 4. In particular, when applied to an arbitrary convex octahedron, it produces a G1-continuous surface with a blob-like shape as the limit of the recursive subdivision process. In case of a regular octahedron, the subdivision process provides an accurate representation of ellipsoids. Our scheme allows us to easily construct a new interactive 3D deformable model for use in the delineation of biomedical images, which we illustrate by examples that deal with the characterization of 3D structures with sphere-like topology such as embryos, nuclei, or brains.
Articolo in rivista - Articolo scientifico
Biomedical imaging; Deformable model; Delineation; Exponential-polynomial generation; Extraordinary vertex; Non-stationary subdivision;
Non-stationary subdivision; Exponential-polynomial generation; Extraordinary vertex; Deformable model; Delineation; Biomedical imaging
English
2017
94
38
51
none
Badoual, A., Novara, P., Romani, L., Schmitter, D., Unser, M. (2017). A non-stationary subdivision scheme for the construction of deformable models with sphere-like topology. GRAPHICAL MODELS, 94, 38-51 [10.1016/j.gmod.2017.10.001].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/174792
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