Abstract
With better and faster acquisition devices comes a demand for fast robust reconstruction algorithms, but no L1-based technique has been fast enough for online use so far. In this paper, we present a novel continuous formulation of the weighted locally optimal projection (WLOP) operator based on a Gaussian mixture describing the input point density. Our method is up to 7 times faster than an optimized GPU implementation of WLOP, and achieves interactive frame rates for moderately sized point clouds. We give a comprehensive quality analysis showing that our continuous operator achieves a generally higher reconstruction quality than its discrete counterpart. Additionally, we show how to apply our continuous formulation to spherical mixtures of normal directions, to also achieve a fast robust normal reconstruction. Project Page: https://www.cg.tuwien.ac.at/~preiner/projects/clop/
Original language | English |
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Pages (from-to) | 47:1-47:13 |
Journal | ACM Transactions on Graphics |
Volume | 33 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Aug 2014 |
Externally published | Yes |
Event | SIGGRAPH 2014 - Vancouver, Canada Duration: 10 Aug 2014 → 14 Aug 2014 |
Keywords
- point set, Gaussian mixture, Hierarchical EM, upsampling, dynamic reconstruction, L1 reconstruction