| Author | Hin Sam Ath |
| Call Number | AIT Thesis no. CS-96-22 |
| Subject(s) | Curves, Cubie
|
| Note | A thesis submitted in partial fulfillment of the requirements for the degree of Master of Science |
| Publisher | Asian Institute of Technology |
| Series Statement | Thesis ; no. CS-96-22 |
| Abstract | Composite curves and surfaces, obtained by piecing curve segments (and surface patches) of rather low degree have been uued to avoid the involvement of polynomials with high degrees. When two curve segments (or two surface patches) are joined, the parametric continuity or geometric continuity is required to maintain the smoothness at the junction point (or the junction curve). The present study investigates the parametric C1-, C2-continuity and the geometric GC1-, GC2-continuity for Bezier and Ball composite curves, the C1 - and GC1- - continuity for Bezier and Ball composite surfaces of the same type: rectangular-rectangular, triangular-triangular. The conditions obtained for composite curves can be interpreted geometrically, by mean of collinearity or coplanarity of the control points around the junction point of two curve segments. For surfaces, the results obtained, even for low degrees, appear to be quite complicated. As such, they can not reality be interpreted geometrically yet. |
| Year | 1996 |
| Corresponding Series Added Entry | Asian Institute of Technology. Thesis ; no. CS-96-22 |
| Type | Thesis |
| School | School of Engineering and Technology (SET) |
| Department | Department of Information and Communications Technologies (DICT) |
| Academic Program/FoS | Computer Science (CS) |
| Chairperson(s) | Huynh Ngoc Phien |
| Examination Committee(s) | Batanov, D.N.;Bohez, E. L. J. |
| Scholarship Donor(s) | The Swedish International Development Cooperation Agency (Sida) |
| Degree | Thesis (M.Sc.) - Asian Institute of Technology, 1996 |