Modeling of 2D Objects with Weighted-Quadratic Trigonometric Spline

Abstract

An imperative scheme is adopted to model 2D objects by constructing a weighted-spline using a quadratic trigonometric function with well controlled shape influences of parameters. The curve models, constructed through the suggested scheme, own the best possible geometric properties such as convex hull, partition of unity, affine invariance and variation diminishing. The illustration of the method is supportive for various shape effects using interval tension property. The proposed C1 spline method is modest overall.