The Numerical Evaluation of B-Splines

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ID: 303801
1972
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Abstract
The conventional method of evaluating B-splines by means of divided differences is numerically unstable. A relation between B-splines of consecutive degrees is derived which enables B-splines to be evaluated in a stable and efficient fashion. Analyses of error growth in the conventional and the stable methods are carried out. For the stable method an a priori relative error bound is obtained.
Reference Key
openalex_W2116334708 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors M G Cox
Journal ima journal of applied mathematics
Year 1972
DOI
10.1093/imamat/10.2.134
URL
Keywords Keywords not found

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