Abstract
We present iterative algorithms for B-spline scale-space smoothing of geometric data and recovery of high frequency information in the smoothing process. The scale-space representation is based on a directional smoothing process using B-splines. If the geometric data are approximated or modelled by uniform B-splines or box-splines then the scale-space smoothing produces B-spline curves or box-spline surfaces. The method is applicable to geometric data processing and geometric modelling of free-form curves and surfaces from quadrilateral polyhedra with extraordinary vertices. (C) 2011 Elsevier Ltd. All rights reserved.