# PARAMETRIC MODELING OF TRUNK-ROOT JUNCTIONS USING ASTROIDAL EXPANSION GEOMETRY

### Karthik Mahesh Varadarajan

#### Abstract

In the field of foliage or vegetation modeling for computer graphics, algorithms for parametric modeling of trees have largely focused on branching mechanisms with little emphasis on modeling the base of the trunk, especially the trunk-root junctions. Roots and trunk-root junctions that appear prominently above the ground in the case of many species of trees such as the Ficus macrophylla and the Picea sitchensis as a result of age and soil erosion are usually completely neglected by traditional trunk modeling methods. In this paper, we introduce a novel parametric modeling scheme to build such trunk-root junctions, while providing for an elegant framework to construct the bases of trunks and branches in order to provide better characterization for a variety of flora species. The paper also describes novel schemes for generating branch junctions and for rendering tree barks.

#### References

- Jijoon Kim, A Growth Model for Root Systems of Virtual Plants with Soil and Moisture Control, IEICE Trans, 2006.
- P. Prusinkiewicz and A. Lindenmayer. The algorithmic beauty of plants. Springer Verlag, 1990.
- J. Bloomenthal. Skeletal Design of Natural Forms. PhD thesis, University of Calgary, 1995.
- J. C. Hart and B. Baker. Implicit modeling of tree surfaces. In Implicit Surfaces, 1996.
- P. Federl and P. Prusinkiewicz. Finite element model of fracture formation on growing surfaces, ICCS 2004.
- S. Lefebvre and F. Neyret. Synthesizing bark. Eurographics Workshop on Rendering, 2002.
- F. Neyret. Modeling, animating, and rendering complex scenes using volumetric textures. IEEE Transactions on Visualization and Computer Graphics, 1998.

#### Paper Citation

#### in Harvard Style

Varadarajan K. (2011). **PARAMETRIC MODELING OF TRUNK-ROOT JUNCTIONS USING ASTROIDAL EXPANSION GEOMETRY** . In *Proceedings of the International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2011)* ISBN 978-989-8425-45-4, pages 94-99. DOI: 10.5220/0003324900940099

#### in Bibtex Style

@conference{grapp11,

author={Karthik Mahesh Varadarajan},

title={PARAMETRIC MODELING OF TRUNK-ROOT JUNCTIONS USING ASTROIDAL EXPANSION GEOMETRY},

booktitle={Proceedings of the International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2011)},

year={2011},

pages={94-99},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0003324900940099},

isbn={978-989-8425-45-4},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2011)

TI - PARAMETRIC MODELING OF TRUNK-ROOT JUNCTIONS USING ASTROIDAL EXPANSION GEOMETRY

SN - 978-989-8425-45-4

AU - Varadarajan K.

PY - 2011

SP - 94

EP - 99

DO - 10.5220/0003324900940099