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. Categories and Subject Descriptors I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling; J.6 [Computer-Aided Engineering]: CAD Keywords Haptic Interface, Human-Computer-Interaction, Rational Parametric Cubic, Shape Constraints.