Discrete-Time Control Systems Approach for Optimal Smoothing Splines | IEEE Conference Publication | IEEE Xplore

Discrete-Time Control Systems Approach for Optimal Smoothing Splines


Abstract:

We consider the problem of designing optimal smoothing spline curves by employing an approach based on linear control systems. First, the problem is formulated using cont...Show More

Abstract:

We consider the problem of designing optimal smoothing spline curves by employing an approach based on linear control systems. First, the problem is formulated using continuous-time, time-invariant systems with piecewise constant inputs. Then by introducing discrete time-varying systems, the solutions for optimal splines including periodic splines are derived. The existence conditions for unique optimal solutions are established, where the concepts of controllability and observability play central roles. The computational procedures for the optimal splines are straightforward. The design method for periodic splines is applied to a shape synthesizing problem using jellyfish as the example.
Date of Conference: 15-15 December 2005
Date Added to IEEE Xplore: 30 January 2006
Print ISBN:0-7803-9567-0
Print ISSN: 0191-2216
Conference Location: Seville, Spain

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