Arc-Length-Based Axial Deformation and Length Preserving Deformation

This paper presents an arc-length preserving axial deformation along a B-spline curve based on arc-length parameterization of the axial curve. Space spanned by arc length and rotation minimizing frame on the axis is taken as the embedded space. As in real life, the length of an object’s skeleton usually remains constant when it is axially deformed such as a swimming fish, a swaying tree etc, An length preserving axial curve deformation is presented. Keyframe skeleton B-spline curves are approximated by polylines after adaptive subdivisions. The edge lengths and the directional vertex angles of the keyframe polylines(or unit edge vectors) are then interpolated to generate the intermediate polylines. These interpolated polylines are intermediate axes in the discreted form. Experiments show our method is very useful, intuitive and easy to control.