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Learning to Sample (1812.01659v2)

Published 4 Dec 2018 in cs.CV

Abstract: Processing large point clouds is a challenging task. Therefore, the data is often sampled to a size that can be processed more easily. The question is how to sample the data? A popular sampling technique is Farthest Point Sampling (FPS). However, FPS is agnostic to a downstream application (classification, retrieval, etc.). The underlying assumption seems to be that minimizing the farthest point distance, as done by FPS, is a good proxy to other objective functions. We show that it is better to learn how to sample. To do that, we propose a deep network to simplify 3D point clouds. The network, termed S-NET, takes a point cloud and produces a smaller point cloud that is optimized for a particular task. The simplified point cloud is not guaranteed to be a subset of the original point cloud. Therefore, we match it to a subset of the original points in a post-processing step. We contrast our approach with FPS by experimenting on two standard data sets and show significantly better results for a variety of applications. Our code is publicly available at: https://github.com/orendv/learning_to_sample

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Authors (3)
  1. Oren Dovrat (1 paper)
  2. Itai Lang (17 papers)
  3. Shai Avidan (46 papers)
Citations (4)

Summary

Overview of "Learning to Sample" Paper

The paper "Learning to Sample" by Dovrat et al. introduces a method designed to improve the efficiency of processing large 3D point clouds. Handling point clouds can be cumbersome due to their size, thus necessitating effective sampling methods to reduce computational burden without sacrificing the integrity required for subsequent tasks. This paper critiques a popular non-learned method known as Farthest Point Sampling (FPS) for its lack of task-specific optimization, proposing a novel, learned approach via a deep learning framework named S-NET.

Problem and Solution Approach

The central challenge addressed by the paper is the task-dependent simplification of 3D point clouds. While FPS is widely used to select points based on geometric distribution without consideration for downstream tasks (classification, retrieval, reconstruction), this paper posits that task-aware learning can yield better results. The proposed S-NET learns to simplify point clouds such that they are optimally reduced for the intended application. The framework enables the production of a smaller point cloud, which, after post-processing, matches a subset of the original dataset. This approach was compared against FPS across different tasks and datasets, with significant performance improvements noted in several applications.

Key Insights and Methodology

S-NET architecture is grounded on the PointNet framework, adapted to generate a smaller point cloud optimized for a specific task. Notably, the produced points are not inherently part of the original point cloud, necessitating a matching step to align them with an appropriate subset of original points. This matching is pivotal to ensuring the task-dependent sampling proficiency of S-NET.

Another extension presented was ProgressiveNet, which emphasizes ordering points by importance, allowing dynamic selection of the sample size. The innovation here lies in flexibility: adapting sample size according to resource constraints or desired level-of-detail post-training.

Experimental Outcomes

The paper substantiates the viability of S-NET through extensive experimentation on ModelNet40 and ShapeNet Core55 datasets for tasks including classification, retrieval, and reconstruction:

  • Classification: S-NET surpassed FPS, maintaining classification accuracy with significantly smaller sample sizes. A retraining experiment also demonstrated its broad applicability beyond specific task network training.
  • Retrieval: Improved retrieval results were observed, particularly under large sampling ratios, emphasizing the semantic coherence S-NET maintains during sampling.
  • Reconstruction: S-NET's samples resulted in lower normalized reconstruction error compared to FPS, highlighting its efficacy in maintaining geometric integrity conducive for higher fidelity reconstructions.

Implications and Future Directions

The method proposed in this paper offers practical improvements for applications across various domains where point clouds are used, such as autonomous driving, robotics, and virtual reality. The flexibility in sample size due to ProgressiveNet also opens up avenues for applications demanding dynamic detail levels. Moreover, the paradigm of task-aware sampling could extend to other data types beyond point clouds, such as volumetric data and voxel grids.

The methodological shift from traditional, heuristic-based sampling to a learned, task-optimized approach marks a significant step, potentially setting a new standard for data-efficient processes in complex learning systems.

Conclusion

In sum, this work presents a compelling case for learned sampling methods tailored to specific tasks, illustrating substantial benefits over conventional geometric sampling. While the proposed system requires further exploration in varied environmental conditions and datasets, the foundational insights offer a promising trajectory for future research, optimizing data utilization in intricate AI systems.

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