# Coplanar Repeats by Energy Minimization

arXiv: https://arxiv.org/abs/1711.09432 · HTML: https://mlsanity.com/paper/1711.09432/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 26 Nov 2017.

## Built on by (most cited first, 1 of 1)

- [Learning Continuous Implicit Representation for Near-Periodic Patterns](https://mlsanity.com/paper/2208.12278/) (2022)

## Abstract (arXiv)

This paper proposes an automated method to detect, group and rectify arbitrarily-arranged coplanar repeated elements via energy minimization. The proposed energy functional combines several features that model how planes with coplanar repeats are projected into images and captures global interactions between different coplanar repeat groups and scene planes. An inference framework based on a recent variant of α-expansion is described and fast convergence is demonstrated. We compare the proposed method to two widely-used geometric multi-model fitting methods using a new dataset of annotated images containing multiple scene planes with coplanar repeats in varied arrangements. The evaluation shows a significant improvement in the accuracy of rectifications computed from coplanar repeats detected with the proposed method versus those detected with the baseline methods.