The aim of this paper is to clearly classify a branch of minimal-energy splines with various end constraints which minimize the integral of the curvature ...

This is the first in a series of papers on minimal-energy splines. The paper is devoted to plane minimal- energy splines with angle constraints.

Handling physical ropes/strings is an important capability to enable robots for human interaction, surgery/suturing, and so on. This chapter will discuss ...

Examples of two-parameter splines include the Minimum Energy Curve, the Euler spiral spline, Mehlum's kurgla. 1, Hobby's spline, IKARUS, and Séquin's circle ...

A minimal-energy spline has a prescribed length together with the constraints of arbitrary-angles or zero-curvatures at the end-points. ... 2, 2015, pp.

Using B-splines as our tools, we give a brief overview of spline properties and develop several different cases of inequality constrained optimization problems ...

Jun 13, 2016 · The main concern of the present contribution is to identify conditions under which a restricted elastic spline F opt will be globally G 2 .

The problem of interpolating a sequence of points in the plane with a nonlinear spline curve of minimal energy and prescribed tangents in the endpoints is ...

The shape of a spline constrained to pass through two specified points with specified orientation is what we are after here . In computer graphics and computer ...

Abstract— We present a new approach to path planning for flexible wires. We introduce a method for computing stable configurations of a wire subject to ...