Papers › Rotation Invariant Convolutions for 3D Point Clouds Deep Learning

Rotation Invariant Convolutions for 3D Point Clouds Deep Learning

17 Aug 2019arXiv:1908.06297archive 2025-07-28

Zhiyuan Zhang, Binh-Son Hua, David W. Rosen, Sai-Kit Yeung

Recent progresses in 3D deep learning has shown that it is possible to design special convolution operators to consume point cloud data. However, a typical drawback is that rotation invariance is often not guaranteed, resulting in networks being trained with data augmented with rotations. In this paper, we introduce a novel convolution operator for point clouds that achieves rotation invariance. Our core idea is to use low-level rotation invariant geometric features such as distances and angles to design a convolution operator for point cloud learning. The well-known point ordering problem is also addressed by a binning approach seamlessly built into the convolution. This convolution operator then serves as the basic building block of a neural network that is robust to point clouds under 6DoF transformations such as translation and rotation. Our experiment shows that our method performs with high accuracy in common scene understanding tasks such as object classification and segmentation. Compared to previous works, most importantly, our method is able to generalize and achieve consistent results across different scenarios in which training and testing can contain arbitrary rotations.

PaperPDFCodeCode Syntology ran

In Syntology View this paper on Syntology: its repositories, every harvested function with whether it ran, its licence and the call to fetch it.

Open this paper in Syntology's Atlas, the map of the papers in Syntology's graph and their citations.

For agents, Syntology's MCP tool lists every function and class Syntology harvested from this paper and whether it ran (how to connect): get_harvested_code_for_paper(arxiv_id="1908.06297")

Code

Syntology Ran 1 of 11 code samples harvested from 1 repository linked to this paper; 10 have no recorded run. Of those that ran: 1 ran · honoured contract.

By repository: official repository: 11 samples from 1 repository, 1 ran. The run record, sample by sample. “Ran” means executed on a synthesized input, not that the code is correct or reproduces the paper.

hkust-vgd/riconv officialtfMIT report

Repository list and official/mentioned flags are the archive's, frozen 2025-07-28. Reachability, where shown, is from one Syntology probe window (2026-09-16 to 2026-09-18); repositories not probed show nothing. GitHub stars are not tracked.

Code Syntology ran Syntology

11 samples harvested; 1 ran; 1 honoured the contract we drafted; 10 have no recorded run. Read from Syntology's graph 2026-09-25; that is when this build read the record, not when the samples ran.

1ran · honoured contract
10unverified

Licence: 0 of the 11 samples are pointer only, meaning Syntology does not serve that copy's text. This page shows no code text for any sample; each one links to its file in the repository.

Harvested from hkust-vgd/riconv. “Ran” means the sample executed on a synthesized input. It does not mean the output is correct, and nothing here reproduces the paper's results. “Honoured” and “violated” refer to a contract Syntology drafted from the code itself; “our draft was wrong” and “fixture could not drive it” are failures of Syntology's instrument, not of the code.

Each sample ends with its code_sha256, Syntology's identity for that exact code. An agent fetches the stored sample with Syntology's MCP tool get_code(code_sha256="…") (how to connect); click an identity to copy that call.

Repository labels, per sample. official repository: The archive marks this repository official for the paper. named in the paper: The archive records that the paper mentions this repository; it is not marked official. community (archive-listed): In the archive's code links for this paper, not marked official and not recorded as mentioned in the paper. found in paper text by Syntology: Syntology found this repository in the paper's own text; whether it is the authors' implementation is not asserted. community: Not in the archive's code links for this paper; a community repository Syntology harvested. Samples from a repository marked official are listed first. Licence labels name the repository's licence as recorded at harvest. “Pointer only” means Syntology does not serve that copy's text, for one of four reasons: no licence file was found; the licence was not identified; the licence is recorded as permissive but that copy's record is not marked cleared; or the licence is outside the permissive list Syntology serves text under (MIT, Apache-2.0, BSD and similar). Some licences outside that list permit redistribution, such as WTFPL, and GPL-3.0 under its conditions; they are simply not on the list. Hover a licence label for the reason. File links open the file on GitHub at the default branch, which may have changed since the harvest.

pc_normalize hkust-vgd/riconv/part_dataset_all_normal.py official repository ran · honoured contract fingerprinted MIT (permissive) · ec413739d406e611 · report
conv2d hkust-vgd/riconv/utils/tf_util.py official repository unverified MIT (permissive) · 02e468c63bb128ee · report
gauss_clip hkust-vgd/riconv/utils/pointfly.py official repository unverified MIT (permissive) · 0c94b125c0750fb3 · report
pc_sampling hkust-vgd/riconv/utils/tf_util.py official repository unverified MIT (permissive) · 5f4df02ea072e30b · report
placeholder_inputs hkust-vgd/riconv/RIConv.py official repository unverified MIT (permissive) · d00422a0bd6befee · report
rotate_point_cloud hkust-vgd/riconv/utils/provider.py official repository unverified MIT (permissive) · 15c7941a6335971a · report
rotate_point_cloud_so3 hkust-vgd/riconv/utils/provider.py official repository unverified MIT (permissive) · 0779069a11d9fb65 · report
scaling_factor hkust-vgd/riconv/utils/pointfly.py official repository unverified MIT (permissive) · 21e4df613d222581 · report
shuffle_data hkust-vgd/riconv/utils/provider.py official repository unverified MIT (permissive) · 780276d57931e243 · report
spiderConv hkust-vgd/riconv/utils/tf_util.py official repository unverified MIT (permissive) · a88cde7983351356 · report
uniform hkust-vgd/riconv/utils/pointfly.py official repository unverified MIT (permissive) · dee3f06c4723c3e4 · report

Tasks

Deep LearningScene UnderstandingTranslation

Results from the paper archive 2025-07-28

No leaderboard rows for this paper in the archive.

Methods

Convolution

Report a problem or propose a change · a person checks every report against the paper or source before anything changes; decisions are listed on /corrections