B-Splines are piecewise, polynomial interpolation curves. A "single curve" is constructed by polynomial interpolation over a series of points, in a sliding window of a fixed number of points. [br]A “cubic” B-spline, which is defined by seven points, is a curve formed by a polynomial interpolation with four points. The curve can be regarded as a lot of different sections, each controlled by four points at a time. The full curve consists of smoothly connected sections defined by points {1,2,3,4}, {2,3,4,5}, {3,4,5,6}, {4,5,6,7} four sections curves b[sub]1234[/sub], b[sub]2345[/sub], b[sub]3456[/sub], b[sub]4567[/sub]. 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[/img][br]It is important to note that B-splines are not the same as poly-Béziers or Catmull-Rom curves:[br]defining new sections based on new points, so that, for example, a cubic poly-Bézier curve with 12 points is not possible. Starting with a four-point curve and add three more points for each spline section, so that we can only have poly-Béziers with 4, 7, 10, 13, 16, etc. points.[br]Cubic B-splines, on the other hand, are smooth interpolations of a curve that involve four consecutive points, so that the segments along the curve, except for the start and end points, have the coordinates of the curve defined by four control points.[br][br]Note the difference:[br][list][*]Bézier curves are defined as an interpolation of points, but:[/*][*]B-splines are defined as an interpolation of curves.[br][/*][/list]