Point Cloud Synthesis Using Inner Product Transforms

• URL: http://arxiv.org/abs/2410.18987v2
• Date: Tue, 11 Feb 2025 09:03:09 GMT
• Title: Point Cloud Synthesis Using Inner Product Transforms
• Authors: Ernst Röell, Bastian Rieck,
• Abstract summary: We develop a novel method that encodes geometrical-topological characteristics of point clouds using inner products. Our encoding exhibits high quality in typical tasks like reconstruction, generation, and inference, with inference times orders of magnitude faster than existing methods.
• Score: 13.608942872770855
• License:
• Abstract: Point-cloud synthesis, i.e. the generation of novel point clouds from an input distribution, remains a challenging task, for which numerous complex machine-learning models have been devised. We develop a novel method that encodes geometrical-topological characteristics of point clouds using inner products, leading to a highly-efficient point cloud representation with provable expressivity properties. Integrated into deep learning models, our encoding exhibits high quality in typical tasks like reconstruction, generation, and interpolation, with inference times orders of magnitude faster than existing methods.

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