Curvy: A Parametric Cross-Section Based Surface Reconstruction

Aradhya N. Mathur, Apoorv Khattar, Ojaswa Sharma

2025

Abstract

In this work, we present a novel approach for reconstructing shape point clouds using planar sparse cross-sections with the help of generative modeling. We present unique challenges pertaining to the representation and reconstruction in this problem setting. Most methods in the classical literature lack the ability to generalize based on object class and employ complex mathematical machinery to reconstruct reliable surfaces. We present a simple learnable approach to generate a large number of points from a small number of input cross-sections over a large dataset. We use a compact parametric polyline representation using adaptive splitting to represent the cross-sections and perform learning using a Graph Neural Network to reconstruct the underlying shape in an adaptive manner reducing the dependence on the number of cross-sections provided. Project page: https://graphics-research-group.github.io/curvy/.

Paper Citation

in Harvard Style

Mathur A., Khattar A. and Sharma O. (2025). Curvy: A Parametric Cross-Section Based Surface Reconstruction. In Proceedings of the 20th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: GRAPP; ISBN 978-989-758-728-3, SciTePress, pages 139-150. DOI: 10.5220/0013300500003912

in Bibtex Style

@conference{grapp25,
author={Aradhya Mathur and Apoorv Khattar and Ojaswa Sharma},
title={Curvy: A Parametric Cross-Section Based Surface Reconstruction},
booktitle={Proceedings of the 20th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: GRAPP},
year={2025},
pages={139-150},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013300500003912},
isbn={978-989-758-728-3},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 20th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: GRAPP
TI - Curvy: A Parametric Cross-Section Based Surface Reconstruction
SN - 978-989-758-728-3
AU - Mathur A.
AU - Khattar A.
AU - Sharma O.
PY - 2025
SP - 139
EP - 150
DO - 10.5220/0013300500003912
PB - SciTePress