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Essential Geometry

Essential Geometry. Essential Geometry. Essential Geometry. Essential Geometry. Essential Geometry. Equations. Implicit F( x,y ) = 0 Parametric P(t) = x Q(t) = y 0 <= t <= 1. Geometric Operations. Scan conversion Convert geometry into pixels Let the graphics system do it

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Essential Geometry

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  1. Essential Geometry

  2. Essential Geometry

  3. Essential Geometry

  4. Essential Geometry

  5. Essential Geometry

  6. Equations • Implicit • F(x,y) = 0 • Parametric • P(t) = x • Q(t) = y • 0 <= t <= 1

  7. Geometric Operations • Scan conversion • Convert geometry into pixels • Let the graphics system do it • Bounding box • Efficiency • Distance from a point • Selection • Nearest Point • Snapping • Inside/Outside • Selection

  8. Points and Vectors dY X,Y dX

  9. Geometric Operations

  10. Geometric Operations Top Left Right Bottom

  11. Geometric Operations X1,Y1 Implicit Parametric X1,Y1

  12. Geometric Operations R Cx,Cy Implicit Parametric

  13. Geometric Operations Top Left Right Bottom

  14. Geometric Operations B A Cx,Cy Implicit Parametric

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