Curve and surface fitting with splines pdf
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Curve and surface fitting with splines pdf
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In many applications where curve fitting is used, one would like to modify parts of the curve without affecting other We study fitting, i.e., the construction of NURBS curves and surfaces which fit a rather arbitrary set of geometric data, such as points and derivative vectors. As such it gives a , · The purpose of this book is to reveal the foundations and major features of several basic methods for curve and surface fitting that are currently in use. x ≤ x xn−2 ≤ x ≤ xn−1, xn−1 ≤ x ≤ xn e02–CurveandSurfaceFitting Introduction – ePolynomial Curves Least-squares polynomials:arbitrary data points nag1dchebfit(e02adc)fitstoarbitrarydatapoints,witharbitraryweights,polynomialsofall Curve and Surface Fitting of any type (e.g., Hermite, Bezier) can be individually constructed and shaped. Such splines can be defined recursively as follows: Definition 'The constant B-spline over the ;th subinterval is defined as {I Xj ~X
