On Exploring PDE Modeling for Point Cloud Video Representation Learning

arXiv:2404.04720v1 Announce Type: new
Abstract: Point cloud video representation learning is challenging due to complex structures and unordered spatial arrangement. Traditional methods struggle with frame-to-frame correlations and point-wise correspondence tracking. Recently, partial differential equations (PDE) have provided a new perspective in uniformly solving spatial-temporal data information within certain constraints. While tracking tangible point correspondence remains challenging, we propose to formalize point cloud video representation learning as a PDE-solving problem. Inspired by fluid analysis, where PDEs are used to solve the …

abstract arxiv cloud constraints correlations cs.cv data differential information modeling perspective representation representation learning spatial struggle temporal tracking type video wise