Title of article :
Convexity-preserving Bernstein–Bezier quartic scheme
Author/Authors :
Hussain, Maria Lahore College for Women University - Department of Mathematics, Pakistan , Abd Majid, Ahmad Universiti Sains Malaysia - School of Mathematical Sciences, Malaysia , Hussain, Malik Zawwar University of the Punjab - Department of Mathematics, Pakistan
Abstract :
A C^1 convex surface data interpolation scheme is presented to preserve the shape of scattered data arranged over a triangular grid. Bernstein–Bezier quartic function is used for interpolation.Lower bound of the boundary and inner Bezier ordinates is determined to guarantee convexity of surface. The developed scheme is flexible and involves more relaxed constraints.
Keywords :
Triangular surface patch , Bernstein–Bezier quarticfunction , Boundary Bezier ordinates , Inner Bezier ordinates , Convex scattered data
Journal title :
Egyptian Informatics Journal
Journal title :
Egyptian Informatics Journal
