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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

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

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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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