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Catmull-Rom Spline
Without tangent vectors?
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Cubic Splines
- τ(타우) 값에 따른 그래프의 변화
Catmull-Rom Spline Properties
- Variation Diminishing
- the curve in 2D space does not oscillate about any straight line more often than the control point polygon.
- C1C1-continuity
- Local Controllability
Question
- Find a catmull-rom cubic spline interpolating the four key points with τ=0.5τ=0.5
- p(t)=L0(t)p0+L1(t)p1+L2(t)p2+L3(t)p3p(t)=L0(t)p0+L1(t)p1+L2(t)p2+L3(t)p3
- p0=(0,0)p0=(0,0)
- p1=(10,10)p1=(10,10)
- p2=(15,5)p2=(15,5)
- p3=(20,15)p3=(20,15)
Solution
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그리드형(광고전용)
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