QUASI-HARMONIC CONSTRAINTS FOR TORIC BEZIER SURFACES

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:36 Issue:2
QUASI-HARMONIC CONSTRAINTS FOR TORIC BEZIER SURFACES

QUASI-HARMONIC CONSTRAINTS FOR TORIC BEZIER SURFACES

Authors : Daud AHMAD, Saba NAEEM

Pages : 325-340

View : 27 | Download : 9

Publication Date : 2018-06-01

Article Type : Research Paper

Abstract :Toric Bezier patches generalize the classical tensor-product triangular and rectangular Bezier surfaces, extensively used in CAGD. The construction of toric Bezier surfaces corresponding to multi-sided convex hulls for known boundary mass-points with integer coordinates insert ignore into journalissuearticles values(in particular for trapezoidal and hexagonal convex hulls); is given. For these toric Bezier surfaces, we find approximate minimal surfaces obtained by extremizing the quasi-harmonic energy functional. We call these approximate minimal surfaces as the quasi-harmonic toric Bezier surfaces. This is achieved by imposing the vanishing condition of gradient of the quasi-harmonic functional and obtaining a set of linear constraints on the unknown inner mass-points of the toric Bezier patch for the above mentioned convex hull domains, under which they are quasi-harmonic toric Bezier patches. This gives us the solution of the Plateau toric Bezier problem for these illustrative instances for known convex hull domains.
Keywords : Harmonicity, minimal surfaces, toric bezier patches

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.