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PARAMETRIC SURFACES

PARAMETRIC SURFACES. Surfaces of Known Form Plane surface Cylindrical surface Conical surface Spherical Surface Toroidal Surface . w. u. Cloud Gate at Chicago. Cloud Gate at Chicago. Cloud Gate at Chicago. Machining of Curved Geometries. Pelton cup. Impeller.

dennis-mejia
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PARAMETRIC SURFACES

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  1. PARAMETRIC SURFACES Surfaces of Known Form Plane surface Cylindrical surface Conical surface Spherical Surface Toroidal Surface

  2. w u

  3. Cloud Gate at Chicago

  4. Cloud Gate at Chicago

  5. Cloud Gate at Chicago

  6. Machining of Curved Geometries • Pelton cup • Impeller • Knee joint prothesis • Intake manifold • Forging die for Blade • Pinion

  7. Three Special Surfaces

  8. RULED SURFACE Input Two curves p(u, 0), p(u, 1) p(u, w) = (1-w) p(u, 0) + w p(u, 1) Alternate Line and directrix curve

  9. p(u, 1) RULED SURFACE p(u, 0)

  10. BILINEAR SURFACE(HYPERBOLIC PARABOLOID) Four Corner Points p(0, 0), p(1, 0), p(0, 1), p(1, 1) p(u, w) = (1-u) (1-w) p(0, 0) + u (1-w) p(1, 0) + (1-u) w p(0, 1) + u w p(1, 1)

  11. p(0, 1) BILINEAR SURFACE p(1, 0) p(1, 1) p(0, 0)

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