Developing the Developable Surfaces in a Space to the Plane using Some Triangle Pieces

Kusno, Nur Hardiani

2018

Abstract

This paper deals with the development in the space to the plane of the polygons, the cone, the cylindrical surfaces and the developable quartic Bézier patches in which its boundary curves are respectively parallel, and the normal vectors of the surfaces must be in the same orientation. The method is as follows, we approximate the surfaces into some triangle pieces then we transform consecutively these pieces in the plane. The result of the study shows that the use of the triangle approximation method can develop effectively these surfaces in the space to the plane. In addition, it can be applied to detect all surface measures of an object that are defined by those surface types.

Paper Citation

in Harvard Style

Kusno. and Hardiani N. (2018). Developing the Developable Surfaces in a Space to the Plane using Some Triangle Pieces.In Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs, ISBN 978-989-758-407-7, pages 427-431. DOI: 10.5220/0008523104270431

in Bibtex Style

@conference{icmis18,
author={Kusno and Nur Hardiani},
title={Developing the Developable Surfaces in a Space to the Plane using Some Triangle Pieces},
booktitle={Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs,},
year={2018},
pages={427-431},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0008523104270431},
isbn={978-989-758-407-7},
}

in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs,
TI - Developing the Developable Surfaces in a Space to the Plane using Some Triangle Pieces
SN - 978-989-758-407-7
AU - Kusno.
AU - Hardiani N.
PY - 2018
SP - 427
EP - 431
DO - 10.5220/0008523104270431