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Summary Examples of exam questions - GDV
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Splines:P^ab=(1-t)p^a+tp^b
, b) Bezier
c) Animation, interpolation, Fonts, Vector graphics & geometric design
,
, a) to make a composite spline as smooth as possible, we can:
- add more control points for a more accurate path/curve
- calculate the tangent and scale it by ½ -> transform it to Catmull-Rom?
- increase the degree of the polynomial
b) 1. Define knots k^0=(p^0+p^1)/2
2. Calculate the tangents T^1=p^2-p^0 -> L=sqrt(T^x^2 +T^y^2)
3. Evaluate the spline using the catmull rom formula.
NURBS:
Non-Uniform Rational B-Splines is a mathematical model using B-Splines to represent curves and surfaces.
It has high flexibility and precision for handling analytic and modeled shapes. They are wildly used in
animation, CAD, and CAM.
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