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Determination of the orientation of 3D objects using spherical harmonics

Abstract : The paper describes a method for estimation of the orientation of 3D objects without point correspondence information. It is based on decomposition of the object onto a basis of spherical harmonics. Tensors are obtained, and their normalization provides the orientation of the object. Theoretical and experimental results show that the approach is more accurate than the classical method based on the diagonalisation of the inertia matrix. Fast registration of 3D objects is a problem of practical interest in domains such as robotics and medical imaging, where it helps to compare multimodal data.
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https://hal.univ-brest.fr/hal-03221752
Contributor : Gilles Burel Connect in order to contact the contributor
Submitted on : Sunday, May 9, 2021 - 7:35:58 PM
Last modification on : Thursday, May 13, 2021 - 8:12:16 PM

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  • HAL Id : hal-03221752, version 1

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Gilles Burel, Hugues Henocq. Determination of the orientation of 3D objects using spherical harmonics. Graphical Models and Image Processing, Elsevier - Academic Press;Elsevier, 1995, 57 (5), pp.400-408. ⟨hal-03221752⟩

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