# Solid Geometric Object Reconstruction from Single Line Drawing Image

### Jinxin Zheng, Yongtao Wang, Zhi Tang

#### Abstract

We present a robust method to reconstruct solid geometric object from single line drawing image taken from the geometric books. Unlike most of the existing methods which require perfect and complete sketches of the line drawings as the inputs, our method directly takes the line drawing images as the inputs and can well handle the incomplete sketches that are automatically produced by our sketch extraction algorithm. The proposed method consists of three major steps as follows: First, the sketch of the input line drawing (i.e., line segments and their intersections) is automatically extracted and further represented as an undirected graph. Second, candidate 3D models from the pre-built 3D model database are found by graph matching. Third, for each candidate 3D model, the model parameters, the rotation and the translation aligning the model with the sketch, are found by optimizing an objective function which is composed of the residuals between the vertices of the sketch and the 2D projections of the candidate model’s vertices, and an optimal reconstruction solution is further selected as the final result. Experimental results show that our method can effectively reconstruct the solid geometric object from single line drawing image.

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#### Paper Citation

#### in Harvard Style

Zheng J., Wang Y. and Tang Z. (2015). **Solid Geometric Object Reconstruction from Single Line Drawing Image** . In *Proceedings of the 10th International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2015)* ISBN 978-989-758-087-1, pages 391-400. DOI: 10.5220/0005261203910400

#### in Bibtex Style

@conference{grapp15,

author={Jinxin Zheng and Yongtao Wang and Zhi Tang},

title={Solid Geometric Object Reconstruction from Single Line Drawing Image},

booktitle={Proceedings of the 10th International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2015)},

year={2015},

pages={391-400},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005261203910400},

isbn={978-989-758-087-1},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 10th International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2015)

TI - Solid Geometric Object Reconstruction from Single Line Drawing Image

SN - 978-989-758-087-1

AU - Zheng J.

AU - Wang Y.

AU - Tang Z.

PY - 2015

SP - 391

EP - 400

DO - 10.5220/0005261203910400