02936nam a2200433 4500 20260818143949.0 310898 th eng .b10372659 AIT Thesis no. CS-91-15 Xu, Jiang Interpolation methods in curve and surface modelling Bangkok : Asian Institute of Technology, 1991 112 p. Thesis ; no. CS-91-15 A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineeerin and Technology Thesis (M.Eng.) - Asian Institute of Technology, 1991 Two independent C2 cubic interpolatary spline modelling methods have been investigated in this study. They are piecewise Bezier form and B-spline form methods which are both suitable for generating plane and space C2 interpolation curves. A theoretical analysis of geometric continuity and Frenet Frame continuity of the C2 space piecewise cubic Bezier interpolation curve has been carried out. A necessary and sufficient condition for a C2 curve to be G3 was also proposed and proved here. Meanwhile two programs, for 2D and 3D curves interpolating respectively, were developed using the above modelling methods, and each method was considered to support open and closed curves. General B-spline Hermite interpolation curves' methods have also been investigated. An implementation of the method in case of 2D C1 cubic curves has been done for numerical experiments. The work also dealts with surface interpotation methods, and a program for C1 composite bicubic Bezier interpolation surface modelling was developed based on the theory presented. Curves, Cubic Computer-aided design Huynh, Ngoc Phien, Chairperson Zhao, Ming, Examination committee Bohez, Erik L.J., Examination Committee Government of Germany, Scholarship donor Asian Institute of Technology. Thesis ; no. CS-91-15 Full-Text http://203.159.5.9/ait-thesis/detail.php?q=B17337 .b10372659 mnait x 240402 2 951012 m a x 0 mnait mnait mnarc 22 40 20 Barcode : 30050120677108 CREATED : 1995-10-14 RECORD # : i10465121 LPATRON : 0 LCHKIN : - # RENEWALS : 0 # OVERDUE : 0 IUSE3 : 0 TOT CHKOUT : 0 TOT RENEW : 0 Barcode : 30050120372841 CREATED : 2016-08-06 RECORD # : i13026173 LPATRON : 0 LCHKIN : - # RENEWALS : 0 # OVERDUE : 0 IUSE3 : 0 TOT CHKOUT : 0 TOT RENEW : 0 Barcode : 30050121005598 CREATED : 2021-03-03 RECORD # : i13330147 LPATRON : 0 LCHKIN : - # RENEWALS : 0 # OVERDUE : 0 IUSE3 : 0 TOT CHKOUT : 0 TOT RENEW : 0 63153 63153 0 0 0 0 MAIN MAIN mnait 2026-08-18 0 AIT Thesis no. CS-91-15 30050120677108 2026-08-18 14:39:49 3 2026-08-18 22 0 0 0 0 MAIN MAIN mnarc 2026-08-18 0 AIT Thesis no. CS-91-15 30050120372841 2026-08-18 14:39:49 2026-08-18 40 0 0 0 0 MAIN MAIN mnait 2026-08-18 0 AIT Thesis no. CS-91-15 30050121005598 2026-08-18 14:39:49 1 2026-08-18 20