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Advanced Computer Graphics CS32310 October 2012 H Holstein.

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Presentation on theme: "Advanced Computer Graphics CS32310 October 2012 H Holstein."— Presentation transcript:

1 Advanced Computer Graphics CS32310 October 2012 H Holstein

2 Coordinate Systems Mapping of points in space to tuple numbers Existence of inverse mapping René Descartes 1596-1650 3D space 3 mutually perpendicular axes: x,y,z Right handed convention User defined position of origin and axis orientation

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5 Distance from the origin O A B

6 Vectors (3D) The displacement of a point P ( a x, a y, a z ) from the origin O defines a vector a = [ a x, a y, a z ] Ordered 3-tuple. Magnitude and direction, but location unspecified. A B a

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15 Laws of Algebra (for the field of real numbers R)

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20 Laws of Vector Algebra

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22 L E A R N !!

23 x y z rule!

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