Haptic manipulation of rational parametric planar cubics using shape constraints

Authors:
Christoph Fünfzig;Philippe Thomin;Gudrun Albrecht
Affiliations:
Univ. Bourgogne, Dijon, France;Univ. Lille Nord de France, UVHC, Valenciennes, France;Univ. Lille Nord de France, UVHC, Valenciennes, France
Venue:
Proceedings of the 2010 ACM Symposium on Applied Computing
Year:
2010

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Abstract

In this paper, we show how to deform a planar rational cubic based on a local interpolation constraint while retaining the qualitative shape of the curve. An impedance-type, parallel haptic device is used to signal changes of the number of inflection points, cusps and loops during the deformation. In this way, the user is provided with an intuitive and natural guidance throughout the curve's shape generation process in CAD.