Home » Interpolation: B Zier Curve, B-Spline, Linear Interpolation, Curve-Fitting Compaction, Non-Uniform Rational B-Spline by Source Wikipedia
Interpolation: B Zier Curve, B-Spline, Linear Interpolation, Curve-Fitting Compaction, Non-Uniform Rational B-Spline Source Wikipedia

Interpolation: B Zier Curve, B-Spline, Linear Interpolation, Curve-Fitting Compaction, Non-Uniform Rational B-Spline

Source Wikipedia

Published September 4th 2011
ISBN : 9781156775585
Paperback
58 pages
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 About the Book 

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 56. Chapters: B zier curve, B-spline, Linear interpolation, Curve-fitting compaction, Non-uniform rational B-spline, Radial basis function network, Kriging, Polynomial interpolation, Lagrange polynomial, Newton polynomial, Polynomial and rational function modeling, Cubic Hermite spline, Curve fitting, Polyharmonic spline, Spline interpolation, Extrapolation, Numerical smoothing and differentiation, Lebesgue constant, Padua points, Slerp, Hermite interpolation, Runges phenomenon, Trigonometric interpolation, Barnes interpolation, Hierarchical RBF, De Boors algorithm, Monotone cubic interpolation, Birkhoff interpolation, Multivariate interpolation, Simple rational approximation, Nevilles algorithm, Nevanlinna-Pick interpolation, Unisolvent functions, Kochanek-Bartels spline, Multiple-indicator kriging, Gals accurate tables, Nearest-neighbor interpolation, Linear predictive analysis, Markov chain geostatistics, Transiogram, Perfect spline, Pick matrix, Transfinite interpolation. Excerpt: Non-uniform rational basis spline (NURBS) is a mathematical model commonly used in computer graphics for generating and representing curves and surfaces which offers great flexibility and precision for handling both analytic and freeform shapes. Development of NURBS began in the 1950s by engineers who were in need of a mathematically precise representation of freeform surfaces like those used for ship hulls, aerospace exterior surfaces, and car bodies, which could be exactly reproduced whenever technically needed. Prior representations of this kind of surface only existed as a single physical model created by a designer. The pioneers of this development were Pierre B zier who worked as an engineer at Renault, and Paul de Casteljau who worked at Citro n, both in France. B zier worked nearly parallel to de Casteljau, neither knowing about the work...