A Length-Constrained Ideal Curve Flow

Length-Constrained Bézier Curve Smoothing

We study the curve smoothing problem in the context of Bézier curves of constant length. Specifically, we present a degree-independent simulated annealing based technique to smooth a lengthconstrained Bézier curve with arbitrary, user-specified geometric constraints. Smoothing is accomplished in two stages. First, a generalized degree-independent technique is used to generate several Bézier cur...

Two Dimensional Incompressible Ideal Flow Around a Small Curve

Smooth fitting of B-spline curve with constrained length

Abstract. In this paper, the authors present a method to construct a smooth B-spline curve which fairly fits 3D points and at the same time satisfies the length constraints. By using the Lagrange multiplier’s conditional extreme, resorting to Broyden method, and then finding the least square solution of the control points, we can obtain the fair quasi-fitting modeling B-spline curve.

Two Dimensional Incompressible Ideal Flow around a Thin Obstacle Tending to a Curve

The purpose of this work is to study the influence of a thin material obstacle on the behavior of two-dimensional incompressible ideal flows. More precisely, we consider a family of obstacles Ωε which are smooth, bounded, open, connected, simply connected subsets of the plane, contracting to a smooth curve Γ as ε → 0. Given the geometry of the exterior domain R \Ωε, a velocity field (divergence...

Curve Length Estimation using Vertix Chain Code Curve Length Estimation

Most of the applications in image analysis are based on Freeman chain code. In this paper, for the first time, vertex chain code (VCC) proposed by Bribiesca is applied to improve length estimation of the 2D digitized curve. The chain code has some preferences such as stable in shifting, turning, mirroring movement of image and has normalized starting point. Due to the variety of length estimato...