merged

Geometric Hermite Interpolation by a Family of
Intrinsically Defined Planar Curves
Sufia Binti Mohd Ramli
Supervisor: Assoc. Prof. Dr. Gobithaasan Rudrusamy
Bachelor of Science (Computational Mathematics)
School of Informatics and applied Mathematics
This research delves about Geometric Hermite interpolation by a family of intrinsically
defined planar curves. We investigate intrinsic curves by choosing the curvature radius
function as polynomials in order to satisfy G 1 continuity. The main objective of this
research is to generate an intrinsic curve satisfying G 1 continuity and at the same time
satisfy given end curvatures thus satisfying G 2 continuity. An intrinsic equation of a curve
is an equation that describes the radius of curvature and torsion of a curve as a function
of its arc length. It is in the form of a differential equation of arc length with respect to
the angle called tangent direction. Final results indicate that the tangent direction, arc
length, and the curvature of an intrinsic curve can be easily obtained by expressing
curvature function in the form of polynomials. The final section depicts numerical
examples which clearly indicate its application for various design intent.
1006 | UMT UNDERGRADUATE RESEARCH DAY 2018