Let d = 3 and n = 4. Let the first five control points be P(1,2), P,(3,7), P₂ (6,6), P²(6, -2), P (1,-1), and let the remaining control points be P(1,2), P.(3,7), P, (6,6). the first n+2=6 knots are Find the next knot values, Suppose to = 0.0, t₁ =0.5, t₂ = 2.0, t3 = 3.0, 1₁ = 3.1, t5 = 3.4. t6, 17, 18, 19, 10, ₁1 following equation. with the knot values are the periodic knot vector through the tn+i = tn+i-1 + (t; - t₁-₁)

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
d = 3 and n = 4. Let the first five control points be
P(1,2), P,(3,7), P₂ (6,6), P²(6, -2), P (1,-1), and let the remaining control points be
P(1,2), P.(3,7), P, (6,6).
the first n+2=6 knots are
Find the next knot values,
Suppose
to = 0.0, t₁ =0.5, t₂ = 2.0, t3 = 3.0, 1₁ = 3.1, t5 = 3.4.
t6, 17, 18, 19, 10, ₁1
following equation.
with the knot values are the periodic knot vector through the
tn+i = tn+i-1 + (t; - t₁-₁)
Transcribed Image Text:Let d = 3 and n = 4. Let the first five control points be P(1,2), P,(3,7), P₂ (6,6), P²(6, -2), P (1,-1), and let the remaining control points be P(1,2), P.(3,7), P, (6,6). the first n+2=6 knots are Find the next knot values, Suppose to = 0.0, t₁ =0.5, t₂ = 2.0, t3 = 3.0, 1₁ = 3.1, t5 = 3.4. t6, 17, 18, 19, 10, ₁1 following equation. with the knot values are the periodic knot vector through the tn+i = tn+i-1 + (t; - t₁-₁)
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