3 papers
cs.GR2026
Energy-minimized interpolatory B-spline lofting for sequences of closed contours
Shutao Tang, Zixuan Zhao
B-spline lofting through closed cross-sections is common in reverse engineering, but interpolating each section on its own knot vector can produce an unnecessarily large control ne…
math.NA2026
A note on the rectangular Schoenberg-Whitney theorem for clamped B-splines
Shutao Tang, Zixuan Zhao
Wang et al.(Computer-Aided Design 40 (2008) 999-1008) proposed a knot-subsequence characterization of full row rank for rectangular B-spline collocation matrices. We identify an in…
cs.GR2022
Optimal lofted B-spline surface interpolation based on serial closed contours
Shutao Tang
Modern shape design and capture techniques often lead to the geometric data presented in the form of serial rows of data points. In general, the number of data points varies from r…