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Presentation topic. PARALLEL PROJECTION. PARALLEL PROJECTION. PROJECTION MAPPING METHODS OF PROJECTION PARALLEL PROJECTION. PROJECTION.

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  1. Presentation topic PARALLEL PROJECTION

  2. PARALLEL PROJECTION • PROJECTION • MAPPING • METHODS OF PROJECTION • PARALLEL PROJECTION

  3. PROJECTION • For centuries, artists, engineers, designers, drafters, and architects have been facing difficulties and constraints imposed by the problem of representing a three-dimensional object or scene in a two-dimensional medium. • The implementers of a computer graphics system face the same challenge.  

  4. PROJECTION • The subject of projection will help you to display three dimensional model on two dimensional medium (screen)…

  5. MAPPING • Projection can be defined as a mapping of point P(x,y,z) onto its image P`(x`,y`,z`) in the projection plane or view plane, which constitutes the display surface. • The mapping is determined by a projection line called the projector that passes through P and intersects the view plane.

  6. EXAMPLE

  7. MAPPING • We can mapping a point in three dimensional on a view plane Where viewer can view from their point of view..

  8. METHODS OF PROJECTION • PARALLEL PROJECTION • PERSPECTIVE PROJECTION

  9. TAXANOMY OF PROJECTION • We can construct different projections according to the view that is desired. • These methods are used to solve the basic problem of pictorial re presentation. • (how to display 3D model in 2D screen)

  10. TAXANOMY

  11. TAXANOMY OF PROJECTION

  12. PARALLEL PROJECTION • In parallel projection, image points are found as the intersection of the view plane with a projector drawn from the object point and having a fixed direction. • The direction of projection is the prescribed direction for all projections.

  13. USE OF PARALEL PROJECTION • Parallel projection methods are used by drafters and engineers to create working drawings of an object which preserves its scale and shape. • The complete representation of these details often requires two or more views (projections) of the object onto different view plan.

  14. Mathematical Description of a Parallel Projection • Projection rays (projectors) emanate from a Center of Projection (COP) and intersect Projection Plane (PP). • The COP for parallel projectors is at infinity. • The length of a line on the projection plane is the same as the "true Length".

  15. FIGURE:

  16. figure Center of projection at infinity Direction of projection(DOP) Same for all points.

  17. PURPOSE OF PARALLEL PROJECTION • To design model of exact measure of original model • So scale and shape will not change by changing of point of views.

  18. ~~~THE END~~~

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