On a blossom-based approach for interpolating non-iso-parametric curves by B-spline surfaces

Interpolating non-iso-parametric B-spline curves by B-spline surfaces remains a challenging problem in Computer-Aided Geometric Design. The solution typically involves composition and product of B-spline bases, leading to a system of linear equations. In this paper, we discuss the interpolation of such curves using the representation of B-splines in polar form, or Blossom, as proposed in matching trimmed surfaces. Although the discussion is limited to curves which are linearly mapped in the corresponding parameter domain, the interpolation of other types of curves could be inspired. © 2017 CAD Solutions, LLC.