| contributor author | Doha, E. H. | |
| contributor author | Bhrawy, A. H. | |
| contributor author | Saker, M. A. | |
| date accessioned | 2017-05-09T01:06:10Z | |
| date available | 2017-05-09T01:06:10Z | |
| date issued | 2014 | |
| identifier issn | 1530-9827 | |
| identifier other | jcise_014_04_041010.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/154253 | |
| description abstract | This paper formulates a new explicit expression for the generalized Jacobi polynomials (GJPs) in terms of Bernstein basis. We also establish and prove the basis transformation between the GJPs basis and Bernstein basis and vice versa. This transformation embeds the perfect leastsquare performance of the GJPs with the geometrical insight of the Bernstein form. Moreover, the GJPs with indexes corresponding to the number of endpoint constraints are the natural basis functions for leastsquare approximation of Bأ©zier curves and surfaces. Application to multidegree reduction (MDR) of Bأ©zier curves and surfaces in computer aided geometric design (CAGD) is given. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On Generalized Jacobi–Bernstein Basis Transformation: Application of Multidegree Reduction of Bأ©zier Curves and Surfaces | |
| type | Journal Paper | |
| journal volume | 14 | |
| journal issue | 4 | |
| journal title | Journal of Computing and Information Science in Engineering | |
| identifier doi | 10.1115/1.4028633 | |
| journal fristpage | 41010 | |
| journal lastpage | 41010 | |
| identifier eissn | 1530-9827 | |
| tree | Journal of Computing and Information Science in Engineering:;2014:;volume( 014 ):;issue: 004 | |
| contenttype | Fulltext | |
