A Refinement Algorithm for Generalized B-splines
Ian D. Henriksen, Emily J. Evans
TL;DR
This paper introduces a new refinement algorithm for generalized B-splines that simplifies knot insertion and degree elevation by leveraging local curve representations, making the process easier to implement.
Contribution
The paper presents a novel local representation-based refinement method for GB-splines, enhancing simplicity and implementation efficiency.
Findings
Simplified refinement routines for GB-splines.
Effective knot insertion and degree elevation methods.
Enhanced understanding of local structures in GB-splines.
Abstract
In this paper we present a method for knot insertion and degree elevation of generalized B-splines (GB-splines) via the local representation of these curves as piecewise functions. The use of local structures makes the refinement routines simpler to understand and implement.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Advanced machining processes and optimization · Advanced Surface Polishing Techniques