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3 months ago

PointCNN: Convolution On X-Transformed Points

{Rui Bu Yangyan Li Xinhan Di Wei Wu Mingchao Sun Baoquan Chen}

PointCNN: Convolution On X-Transformed Points

Abstract

We present a simple and general framework for feature learning from point cloud. The key to the success of CNNs is the convolution operator that is capable of leveraging spatially-local correlation in data represented densely in grids (e.g. images). However, point cloud are irregular and unordered, thus a direct convolving of kernels against the features associated with the points will result in deserting the shape information while being variant to the orders. To address these problems, we propose to learn a X-transformation from the input points, which is used for simultaneously weighting the input features associated with the points and permuting them into latent potentially canonical order. Then element-wise product and sum operations of typical convolution operator are applied on the X-transformed features. The proposed method is a generalization of typical CNNs into learning features from point cloud, thus we call it PointCNN. Experiments show that PointCNN achieves on par or better performance than state-of-the-art methods on multiple challenging benchmark datasets and tasks.

Benchmarks

BenchmarkMethodologyMetrics
3d-point-cloud-classification-on-intraPointCNN
F1 score (5-fold): 0.875
3d-point-cloud-classification-on-modelnet40PointCNN
Overall Accuracy: 92.2
3d-semantic-segmentation-on-dalesPointCNN
Model size: N/A
Overall Accuracy: 97.2
mIoU: 58.4
few-shot-3d-point-cloud-classification-on-2PointCNN
Overall Accuracy: 68.64
Standard Deviation: 7.0
few-shot-3d-point-cloud-classification-on-3PointCNN
Overall Accuracy: 46.60
Standard Deviation: 4.8
few-shot-3d-point-cloud-classification-on-4PointCNN
Overall Accuracy: 49.95
Standard Deviation: 7.2
semantic-segmentation-on-s3dis-area5PointCNN
Number of params: N/A
oAcc: 85.9
semantic-segmentation-on-scannetPointCNN
test mIoU: 45.8

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