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Curvas de Bezier, B-Splines y NURBS

Curvas de Bezier, B-Splines y NURBS. Poligonal determinada por una familia de puntos. Puntos (0,0), (1,1), (2,1.5), (3, 0.5). Podemos eliminar los picos limándolos. Repetimos el proceso con la nueva poligonal obtenida. Iterando en proceso obtenemos una curva suave. Curvas de Bezier.

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Curvas de Bezier, B-Splines y NURBS

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  1. Curvas de Bezier, B-Splines y NURBS

  2. Poligonal determinada por una familia de puntos Puntos (0,0), (1,1), (2,1.5), (3, 0.5)

  3. Podemos eliminar los picos limándolos

  4. Repetimos el proceso con la nueva poligonal obtenida

  5. Iterando en proceso obtenemos una curva suave

  6. Curvas de Bezier Algoritmo de Casteljau Algoritmo de Casteljau.fig Algoritmo de Casteljau.mws

  7. Polinomios de Bernstein

  8. Curva de Bezier.mws

  9. B-Splines Grado de una Curva de Bezier Empalme de Curvas de Bezier B-Spline 3 tramos.fig

  10. NURBS Los puntos de control “tiran” de la Curva de Bezier Bezier.fig

  11. Damos un peso a cada sumando

  12. A = (0,1) , B = (1,1) y C = (1,0) Roja = Sin peso Rosa = Peso de B 1.2 Azul = Peso de B 0.85 NURBS.MWS

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