# SURFACE MODELING OF MULTI-POINT, MULTI-FLUTE CUTTING TOOLS

### Puneet Tandon, Phalguni Gupta, Sanjay G. Dhande

#### Abstract

Cutting tools are usually represented by two-dimensional representation schema(s). The two-dimensional nomenclatures have their inherent limitations. This paper outlines a detailed surface based modeling paradigm for a variety of multi-point, multi-flute cutting tools. The work presents the generic biparametric surface based models of slab mills, end mills and drills. The flutes are modeled as helicoidal surfaces. The relations to map proposed three-dimensional (3D) rotational angles that generate 3D geometric models to conventional angles (forward mapping) and their reverse relations (inverse mapping) are also developed. The new paradigm offers immense technological advantages through numerous downstream applications.

#### References

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#### Paper Citation

#### in Harvard Style

Tandon P., Gupta P. and G. Dhande S. (2007). **SURFACE MODELING OF MULTI-POINT, MULTI-FLUTE CUTTING TOOLS** . In *Proceedings of the Second International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP,* ISBN 978-972-8865-71-9, pages 172-175. DOI: 10.5220/0002077501720175

#### in Bibtex Style

@conference{grapp07,

author={Puneet Tandon and Phalguni Gupta and Sanjay G. Dhande},

title={SURFACE MODELING OF MULTI-POINT, MULTI-FLUTE CUTTING TOOLS},

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

year={2007},

pages={172-175},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0002077501720175},

isbn={978-972-8865-71-9},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the Second International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP,

TI - SURFACE MODELING OF MULTI-POINT, MULTI-FLUTE CUTTING TOOLS

SN - 978-972-8865-71-9

AU - Tandon P.

AU - Gupta P.

AU - G. Dhande S.

PY - 2007

SP - 172

EP - 175

DO - 10.5220/0002077501720175