An optimization of NURBS interpolation algorithm
INDIN（2012）
Abstract
I put forward a new interpolation called Adams-Bashforth interpolation of NURBS (Non-Uniform Rational B-Splines) curve in order to realize higher precision under the condition of satisfying the speed demand. IN this method, I calculated next parameter point by Adams-Bashforth equation and I used difference equation instead of derivation. I simplified and approximated the interpolation algorithm so that the speed and precision of interpolation could be ensured. Finally, we conducted simulations on this interpolation based on MATLAB and compared it with Taylor expansion algorithm so that we could prove its feasibility and correctness. We can conclude that it has a higher precision.
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Key words
difference equation,interpolation,nurbs curve,nonuniform rational b-splines curve,adams-bashforth interpolation,numerical control system,nurbs interpolation algorithm,taylor expansion algorithm,adams-bashforth method,adams-bashforth equation,splines (mathematics),interpolation algorithm,surface topography,adams bashforth method,surface reconstruction,accuracy,taylor series,mathematical model
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