Title
PolyNet: Polynomial Neural Network for 3D Shape Recognition with PolyShape Representation
Abstract
3D shape representation and its processing have substantial effects on 3D shape recognition. The polygon mesh as a 3D shape representation has many advantages in computer graphics and geometry processing. However, there are still some challenges for the existing deep neural network (DNN)-based methods on polygon mesh representation, such as handling the variations in the degree and permutations of the vertices and their pairwise distances. To overcome these challenges, we propose a DNN-based method (PolyNet) and a specific polygon mesh representation (PolyShape) with a multi-resolution structure. PolyNet contains two operations; (1) a polynomial convolution (PolyConv) operation with learnable coefficients, which learns continuous distributions as the convolutional filters to share the weights across different vertices, and (2) a polygonal pooling (PolyPool) procedure by utilizing the multi-resolution structure of PolyShape to aggregate the features in a much lower dimension. Our experiments demonstrate the strength and the advantages of PolyNet on both 3D shape classification and retrieval tasks compared to existing polygon mesh-based methods and its superiority in classifying graph representations of images. The code is publicly available from this link.
Year
DOI
Venue
2021
10.1109/3DV53792.2021.00109
2021 INTERNATIONAL CONFERENCE ON 3D VISION (3DV 2021)
DocType
ISSN
Citations 
Conference
2378-3826
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Mohsen Yavartanoo100.34
Shih-Hsuan Hung201.35
Reyhaneh Neshatavar300.34
Yue Zhang4238.01
Kyoung Mu Lee53228153.84