Derivatives of B-spline curves and surfaces | |
| Author | Svoeuy Bunna |
| Call Number | AIT Thesis no. CS-97-3 |
| Subject(s) | Computer-aided design Curves Surfaces |
| Note | A thesis submitted in partial fulfillment of the requirements for the degree of Master of Science, School of Advanced Technologies |
| Publisher | Asian Institute of Technology |
| Abstract | This study concentrates on two methods for evaluating the coordinates and derivatives of a non-rational and rational B-spline curves and surfaces. These methods include the direct computing and knot insertion, which is applied with a knot that has multiplicity up to the degree of the curves. Nor paragraph as comprehensive treatments of B-spline curves and surfaces have not been extensively carried, the study reviewed and provided many illustrations of the applications of the general formulas related to the computation of •a point • the derivatives at a point of B-spline curves and surfaces. It showed that by a suitable knot insertion, the computation of the derivatives can significantly be simplified. Moreover, the parametric and geometric continuities of B-spline curves and surfaces were also considered. It showed that the continuity of the curvature vector is equivalent to the GC2 -continuity of the curve segments for both non-rational and rational B-spline curves. |
| Year | 1997 |
| Type | Thesis |
| School | School of Advanced Technologies (SAT) |
| Department | Department of Information and Communications Technologies (DICT) |
| Academic Program/FoS | Computer Science (CS) |
| Chairperson(s) | Huynh Ngoc Phien; |
| Examination Committee(s) | Kanchana Kanchanasut ;Hoang Le Tien; |
| Scholarship Donor(s) | The Swedish International Development Cooperation Agency (Sida) ; |
| Degree | Thesis (M.Sc.) - Asian Institute of Technology, 1997 |