# Beyond Planar Symmetry: Modeling human perception of reflection and rotation symmetries in the wild

Source: [Beyond Planar Symmetry: Modeling human perception of reflection and rotation symmetries in the wild](<https://www.sota2.com/research/paper/68fa5ed81e209131ce9e5962>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T19:00:51.301Z

Authors: Christopher Funk, Yanxi Liu

Published: 2017-04-11T23:25:25.000Z

## Abstract

Humans take advantage of real world symmetries for various tasks, yet capturing their superb symmetry perception mechanism with a computational model remains elusive. Motivated by a new study demonstrating the extremely high inter-person accuracy of human perceived symmetries in the wild, we have constructed the first deep-learning neural network for reflection and rotation symmetry detection (Sym-NET), trained on photos from MS-COCO (Microsoft-Common Object in COntext) dataset with nearly 11K consistent symmetry-labels from more than 400 human observers. We employ novel methods to convert discrete human labels into symmetry heatmaps, capture symmetry densely in an image and quantitatively evaluate Sym-NET against multiple existing computer vision algorithms. On CVPR 2013 symmetry competition testsets and unseen MS-COCO photos, Sym-NET significantly outperforms all other competitors. Beyond mathematically well-defined symmetries on a plane, Sym-NET demonstrates abilities to identify viewpoint-varied 3D symmetries, partially occluded symmetrical objects, and symmetries at a semantic level.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

- [Rotation Symmetry Detection on DENDI (test)](<https://www.sota2.com/research/sota/rotation-symmetry-detection-on-dendi-test.md>): Rotation Symmetry Detection; DENDI (test); F1 Score: 11.9.

- [Reflection Symmetry Detection on DENDI (test)](<https://www.sota2.com/research/sota/reflection-symmetry-detection-on-dendi-test.md>): Reflection Symmetry Detection; DENDI (test); F1 Score: 30.7.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1704.03568>)

[PDF](<https://arxiv.org/pdf/1704.03568.pdf>)
