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Kochanek–Bartels spline : ウィキペディア英語版
Kochanek–Bartels spline

In mathematics, a Kochanek–Bartels spline or Kochanek–Bartels curve is a cubic Hermite spline with tension, bias, and continuity parameters defined to change the behavior of the tangents.
Given ''n'' + 1 knots,
:p0, ..., p''n'',
to be interpolated with ''n'' cubic Hermite curve segments, for each curve we have a starting point p''i'' and an ending point p''i''+1 with starting tangent d''i'' and ending tangent d''i''+1 defined by
:\mathbf_i = \frac(\mathbf_i-\mathbf_) + \frac(\mathbf_-\mathbf_i)

:\mathbf_ = \frac(\mathbf_-\mathbf_) + \frac(\mathbf_-\mathbf_)

where...
Setting each parameter to zero would give a Catmull–Rom spline.
The (source code found here ) of Steve Noskowicz in 1996 actually describes the impact that each of these values has on the drawn curve:
The code includes matrix summary needed to generate these splines in a BASIC dialect.
== External links ==

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抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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