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EXERCISE 2.2 Derive the expression of the Bezier curve for the four points Po = ( = (0, 0, 0), P₁ = (1, 0, 0), P₂ = (2, 1, 0), and P3 = (3, 0, 1). Derive the normal vector K(t) expression

EXERCISE 2.2 Derive the expression of the Bezier curve for the four points Po = ( = (0, 0, 0), P₁ = (1, 0, 0), P₂ = (2, 1, 0), and P3 = (3, 0, 1). Derive the normal vector K(t) expression

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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EXERCISE 2.2 Derive the expression of the Bezier curve for the four points Po = (0, 0, 0), P₁ = (1, 0, 0), P2 = (2, 1, 0), and P3 = (3, 0, 1). Derive the normal vector K(t) expression of the parametric curve. Calculate K(0), K(0.5) and K(1). Establish the osculating plane of the curve and find its equations for t = 0, 0.5, and 1.
Transcribed Image Text:EXERCISE 2.2 Derive the expression of the Bezier curve for the four points Po = (0, 0, 0), P₁ = (1, 0, 0), P2 = (2, 1, 0), and P3 = (3, 0, 1). Derive the normal vector K(t) expression of the parametric curve. Calculate K(0), K(0.5) and K(1). Establish the osculating plane of the curve and find its equations for t = 0, 0.5, and 1.
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