Publication:
A New Generalized Trigonometric Bernstein-Like Basis Functions And Its Applications In Curve And Surface Constructions

Simple item page
dc.contributor.authorAmmad, Muhammad
dc.date.accessioned2026-05-12T01:34:44Z
dc.date.available2026-05-12T01:34:44Z
dc.date.issued2025-03
dc.description.abstractThis study presents a novel methodology for constructing curves and surfaces using the gt-bernstein-like basis function with two design variables. The proposed curves and surfaces substantially enhance shape-adjustment capabilities compared to traditional forms. The research explores the application of these curves and surfaces, enabling the creation of shape-adjustable surfaces with local control, such as swept surfaces, swung surfaces, rotation surfaces, ruled surfaces, enveloping surfaces, and spine curves of developable surfaces. A thorough analysis of different parameters shows the influence of the shape of these curves and surfaces, leading to the identification of optimized parameters for shape optimization design. Numerical examples showcase the flexibility and local shape control achieved through the proposed method. Additionally, the study advances a new method for generating surfaces with prescribed boundaries in computer-aided geometric design (cagd), with a specific focus on minimizing surface area. The
dc.identifier.urihttps://erepo.usm.my/handle/123456789/24184
dc.language.isoen
dc.subjectBernstein polynomials
dc.titleA New Generalized Trigonometric Bernstein-Like Basis Functions And Its Applications In Curve And Surface Constructions
dc.typeResource Types::text::thesis::doctoral thesis
dspace.entity.typePublication
oairecerif.author.affiliationUniversiti Sains Malaysia
Files
Collections
Pusat Pengajian Sains Matematik - Tesis