Shape Modeling and Applications, International Conference on (2001)
May 7, 2001 to May 11, 2001
Ahmad H. Nasri , American University of Beirut
Kunwoo Lee , Seoul National University
Tae-wan Kim , Seoul National University
Given a polygonal mesh with a set of tagged control polygons, a subdivision surface that interpolates the B-spline curves of these control polygons can be obtained by constructing a set of polygonal complexes, each of which converges to one of the given curves.The construction process will geometrically and topologically disturb the initial and/or the subdivided polygonal meshes in the vicinity of the polygonal complexes. This may result in a poorly shaped surfaces across the interpolated curves. Based on signal fairing, this paper describes a method to fair such a surface and paves the way to achieve further constraints such as interpolating curves with predefined tangent plane or cross curvature.
Recursive Subdivision, Interpolation, B-spline, Fairing, Curvature control, Tangent plane control.
Ahmad H. Nasri, Kunwoo Lee, Tae-wan Kim, "Fairing Recursive Subdivision Surfaces with Curve Interpolation Constraints", Shape Modeling and Applications, International Conference on, vol. 00, no. , pp. 0049, 2001, doi:10.1109/SMA.2001.923375