A non-stationary subdivision scheme for the construction of deformable models with sphere-like topology
| Autor: | Michael Unser, Lucia Romani, Daniel Schmitter, Paola Novara, Anas Badoual |
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| Přispěvatelé: | Badoual, A, Novara, P, Romani, L, Schmitter, D, Unser, M, Unser, M. |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Surface (mathematics)
Non-stationary subdivision 02 engineering and technology Topology Extraordinary vertex Biomedical imaging Triangle mesh 0202 electrical engineering electronic engineering information engineering Subdivision surface Finite subdivision rule Exponential-polynomial generation Topology (chemistry) Subdivision Mathematics business.industry Regular polygon Deformable model 020207 software engineering Delineation Computer Graphics and Computer-Aided Design Ellipsoid MAT/08 - ANALISI NUMERICA Modeling and Simulation 020201 artificial intelligence & image processing Geometry and Topology business Software |
| Popis: | An affine-invariant non-stationary subdivision scheme is proposed.It produces G1 continuous surfaces with sphere-like topology.It is used to construct interactive 3D deformable models with few control points.Application examples in real volumetric biomedical images are provided. Display Omitted 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. |
| Databáze: | OpenAIRE |
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