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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- 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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© 2016 Springer International Publishing Switzerland
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Abidi, M.A., Gribok, A.V., Paik, J. (2016). Volumetric Description of Three-Dimensional Objects for Object Recognition. In: Optimization Techniques in Computer Vision. Advances in Computer Vision and Pattern Recognition. Springer, Cham. https://doi.org/10.1007/978-3-319-46364-3_10
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DOI: https://doi.org/10.1007/978-3-319-46364-3_10
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