Title
Canonical and Compact Point Cloud Representation for Shape Classification.
Abstract
We present a novel compact point cloud representation that is inherently invariant to scale, coordinate change and point permutation. The key idea is to parametrize a distance field around an individual shape into a unique, canonical, and compact vector in an unsupervised manner. We firstly project a distance field to a $4$D canonical space using singular value decomposition. We then train a neural network for each instance to non-linearly embed its distance field into network parameters. We employ a bias-free Extreme Learning Machine (ELM) with ReLU activation units, which has scale-factor commutative property between layers. We demonstrate the descriptiveness of the instance-wise, shape-embedded network parameters by using them to classify shapes in $3$D datasets. Our learning-based representation requires minimal augmentation and simple neural networks, where previous approaches demand numerous representations to handle coordinate change and point permutation.
Year
Venue
Field
2018
arXiv: Computer Vision and Pattern Recognition
Singular value decomposition,Pattern recognition,Commutative property,Extreme learning machine,Computer science,Permutation,Algorithm,Distance transform,Invariant (mathematics),Artificial intelligence,Point cloud,Artificial neural network
DocType
Volume
Citations 
Journal
abs/1809.04820
1
PageRank 
References 
Authors
0.35
11
5
Name
Order
Citations
PageRank
Kent Fujiwara191.55
ikuro sato221.72
Mitsuru Ambai3486.36
Yuichi Yoshida446944.88
Yoshiaki Sakakura562.57