A New Algorithm for the Evaluation of Generalized B-splines
Ian D. Henriksen, Emily J. Evans, Derek C. Thomas
TL;DR
This paper introduces a new local evaluation algorithm for generalized B-splines that improves the computational process by leveraging their piecewise local structure, enabling more efficient curve evaluation.
Contribution
It presents a novel local representation method for GB-splines, facilitating direct and efficient evaluation of these curves.
Findings
Enables direct computation of GB-spline curves
Improves efficiency of curve evaluation
Provides a new basis construction technique
Abstract
In this paper we present a method for direct evaluation of generalized B-splines (GB-splines) via the local representation of these curves as piecewise functions. To accomplish this we introduce a local structure that makes GB-spline curves more amenable to the techniques used in constructing bases of higher degree. This basis is used to perform direct computation of piecewise representation of GB-spline bases and curves.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Advanced machining processes and optimization · Image and Object Detection Techniques