3D Model Reconstruction from the Equivariant Resampled Three-polar Representation
Douha Jerbi, Emna Ghorbel, Majdi Jribi, Faouzi Ghorbel · 2024
In a previous work, the equivariant Three-polar representation was introduced, and its effectiveness for face recognition was demonstrated. This approach involves representing 3D objects through a set of closed space curves derived from three reference points extracted from the surface of a 3D model. However, the reconstruction of models from the equivariant representation has not yet been addressed. In this article, we present an almost complete extension of the Threepolar representation for 3D model reconstruction. We propose an optimal reparameterization of the level curves based on the nearest neighbor notion. Finally, we perform the reconstruction of 3D models from the BU-3DFE dataset.