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2016 | OriginalPaper | Chapter

10. Volumetric Description of Three-Dimensional Objects for Object Recognition

Authors : Mongi A. Abidi, Andrei V. Gribok, Joonki Paik

Published in: Optimization Techniques in Computer Vision

Publisher: Springer International Publishing

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Abstract

Three-dimensional (3D) object representation and shape reconstruction play an important role in the field of computer vision. In this chapter, a parametric model is proposed as a coarse description of the volumetric part of 3D objects for object recognition. The parameterized part-based superquadric model is used as a volumetric parameter model. This superquadric model has the advantage that it can describe various primitive shapes using a finite number of parameters including translation, rotation, and global deformation. Shape recovery is performed by least square minimization of the objective function for all range points belonging to a single part of the object. The set of superquadric parameters representing each single part of the 3D object can then be obtained.

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Footnotes
1
A voxel represents a small volume element on the discretized 3D space.
 
2
The octree represents hierarchical representation of volume occupancy.
 
3
A generalized cylinder represents a 3D volume by sweeping a planar cross section along a space-curve spine.
 
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Metadata
Title
Volumetric Description of Three-Dimensional Objects for Object Recognition
Authors
Mongi A. Abidi
Andrei V. Gribok
Joonki Paik
Copyright Year
2016
DOI
https://doi.org/10.1007/978-3-319-46364-3_10

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