Let to = 0, t₁ = 0, t₂ = 0, t3 = 1, t₁ = 2, t₁ = 3, t = 4, t₁ =4, and t = 4. Construct open B-spline equation with degree d = 2 which consists four segments. For determining the knot for open B-spline, ta -t₁ - N. tj+d - tj N₁a(t) = Vj¸d-1(ta) +. tj+l+d-ta tj+l+d − tj+l -Nj+1d-1(ta), 0≤j≤d

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section: Chapter Questions
Problem 11PTTS
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Let to = 0, t₁ = 0, t₂ = 0, t3 = 1, t₁ = 2, t₁ = 3, t = 4, t₁ =4, and t = 4. Construct open
B-spline equation with degree d = 2 which consists four segments.
For determining the knot for open B-spline,
ta -t₁
- N.
tj+d - tj
N₁a(t) =
Vj¸d-1(ta) +.
tj+l+d-ta
tj+l+d − tj+l
-Nj+1d-1(ta),
0≤j≤d
Transcribed Image Text:Let to = 0, t₁ = 0, t₂ = 0, t3 = 1, t₁ = 2, t₁ = 3, t = 4, t₁ =4, and t = 4. Construct open B-spline equation with degree d = 2 which consists four segments. For determining the knot for open B-spline, ta -t₁ - N. tj+d - tj N₁a(t) = Vj¸d-1(ta) +. tj+l+d-ta tj+l+d − tj+l -Nj+1d-1(ta), 0≤j≤d
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