# 2D Points Curve Reconstruction Survey and Benchmark

arXiv: https://arxiv.org/abs/2103.09583 · HTML: https://mlsanity.com/paper/2103.09583/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 17 Mar 2021.

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

- [Bayesian methods and Markov chain Monte Carlo algorithms for curve reconstruction and point cloud data analysis](https://mlsanity.com/paper/2608.26490/) (2026)

## Abstract (arXiv)

Curve reconstruction from unstructured points in a plane is a fundamental problem with many applications that has generated research interest for decades. Involved aspects like handling open, sharp, multiple and non-manifold outlines, run-time and provability as well as potential extension to 3D for surface reconstruction have led to many different algorithms. We survey the literature on 2D curve reconstruction and then present an open-sourced benchmark for the experimental study. Our unprecedented evaluation on a selected set of planar curve reconstruction algorithms aims to give an overview of both quantitative analysis and qualitative aspects for helping users to select the right algorithm for specific problems in the field. Our benchmark framework is available online to permit reproducing the results, and easy integration of new algorithms.