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Directory Table of Content : (42 slides)
Spline
Slide 1 :
Spline
Slide 2 :
Spline
Slide 3 :
Convex Hull
Slide 4 :
Convex Hull (2)
Slide 5 :
Types of Curves (1)
Slide 6 :
Types of Curves (2)
Slide 7 :
Types of Curves (3)
Slide 8 :
Parametric curves
Slide 9 :
Specifying Curves
Slide 10 :
Continuity
Slide 11 :
Parametric Cubic Curves
Slide 12 :
Solving for Coefficients
Slide 13 :
An Illustrative Example
Slide 14 :
The Gradient of a Cubic Spline
Slide 15 :
The Hermite Specification as a Matrix Equation
Slide 16 :
Solve for the Hermite Coefficients
Slide 17 :
The Hermite Specification as a Matrix Equation
Slide 18 :
Spline Basis and Geometry Matrices
Slide 19 :
Resulting Cubic Hermite Spline Equation
Slide 20 :
Another Way to Think About Splines
Slide 21 :
Hermite Blending Functions
Slide 22 :
Bézier Curves
Slide 23 :
Coefficients for Cubic Bezier Splines
Slide 24 :
Here's the Trick!
Slide 25 :
Basis and Geometry Matrices for Bezier Splines
Slide 26 :
Bezier Blending Functions
Slide 27 :
Plots of Bezier Blending Functions
CARREFUL : There is a subdirectory to explore/print :
Import/JBook
Slide 31 :
Summary of Bézier curve properties
Slide 32 :
Another Way to build a Bézier curve
Slide 33 :
B-spline Curve
Slide 34 :
B Spline : Formulation
Slide 35 :
B Spline Segment 1
Slide 36 :
B Spline functions
Slide 37 :
B Spline Segment 2 : Forcing Interpolation
Slide 38 :
B Spline Segment 3 : Forcing interpolation
CARREFUL : There is a subdirectory to explore/print :
Import/JBook
Slide 40 :
B-Spline Summary
Slide 41 :
To be continued
Slide 42 :
B Spline vs Bezier
Slide 43 :
Uniform B-spline
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VRarchitect
<
ANU lectures
:
Computer Graphics
:
Spline
>
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Links
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