Optimal Vector Smoothing Splines with Coupled Constraints

Abstract

This paper considers the problem of designing optimal smoothing vector spline curves with equality and/or inequality constraints cross-coupled among the element curves. The splines are constituted employing normalized uniform B-splines as the basis functions. Then various types of constraints are formulated as linear function of the so-called control points, and the problem is reduced to convex quadratic programming problem. The performance is examined by some numerical examples.