3D point cloud is an efficient and flexible representation of 3D structures. Recently, neural networks operating on point clouds have shown superior performance on tasks such as shape classification and part segmentation. However, performance on these tasks are evaluated using complete, aligned shapes, while real world 3D data are partial and unaligned. A key challenge in learning from unaligned point cloud data is how to attain invariance or equivariance with respect to geometric transformations. To address this challenge, we propose a novel transformer network that operates on 3D point clouds, named Iterative Transformer Network (IT-Net). Different from existing transformer networks, IT-Net predicts a 3D rigid transformation using an iterative refinement scheme inspired by classical image and point cloud alignment algorithms. We demonstrate that models using IT-Net achieves superior performance over baselines on the classification and segmentation of partial, unaligned 3D shapes. Further, we provide an analysis on the efficacy of the iterative refinement scheme on estimating accurate object poses from partial observations.
Spatial Transformer Network (STN) @cite_22 is a network module that performs explicit geometric transformations on the input data. STN can be thought of as a geometry predictor which models the complicated non-linear relationship between the appearance of the image and geometric transformations. It can be trained jointly with classification networks and has the benefit of introducing invariance to geometric transformations.
@cite_22
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Convolutional Neural Networks define an exceptionally powerful class of models, but are still limited by the lack of ability to be spatially invariant to the input data in a computationally and parameter efficient manner. In this work we introduce a new learnable module, the Spatial Transformer, which explicitly allows the spatial manipulation of data within the network. This differentiable module can be inserted into existing convolutional architectures, giving neural networks the ability to actively spatially transform feature maps, conditional on the feature map itself, without any extra training supervision or modification to the optimisation process. We show that the use of spatial transformers results in models which learn invariance to translation, scale, rotation and more generic warping, resulting in state-of-the-art performance on several benchmarks, and for a number of classes of transformations.