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Multi-Label Simple Points Definition for 3D Images Digital Deformable Model

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Alexandre Dupas1 Guillaume Damiand2 Jacques-Olivier Lachaud3

Universit ´e de Poitiers, CNRS, SIC-XLIM, UMR6172, F-86962, France [email protected]

Universit ´e de Lyon, CNRS, LIRIS, UMR5205, F-69622, France [email protected]

Universit ´e de Savoie, CNRS, LAMA, UMR5127, F-73376, France [email protected]

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Introduction

Goal in Image Processing

Deformation w/o topological modification of the partition

Our Solution

use intervoxel elements to represent boundaries;

definition of multi-label simple points (ML-Simple points):

allow geometrical modification of faces;

forbid geometrical modification around edges and vertices;

deformation algorithm based on ML-Simple points.

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A voxelv is ML-Simple if:

1 ∀l ∈linels(v),degree(l)∈ {0,2};

2 the body ofsf(v)is homeomorphic to a 2-disk;

3 ∀l ∈linels(v),degree(l,v) =0⇒degree(l) =0.

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3D Cases

A B C D E

F G H I J

All configurations can be obtained by rotations and symetries.

⇒simple local detection algorithm.

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partition without surface intersections:

partition with surface intersections:

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Multi-Label Simple Points Definition for 3D Images Digital Deformable Model

Alexandre Dupas1 Guillaume Damiand2 Jacques-Olivier Lachaud3

Universit ´e de Poitiers, CNRS, SIC-XLIM, UMR6172, F-86962, France [email protected]

Universit ´e de Lyon, CNRS, LIRIS, UMR5205, F-69622, France [email protected]

Universit ´e de Savoie, CNRS, LAMA, UMR5127, F-73376, France [email protected]

September 28, 2009

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