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

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presentation topic

Presentation topic

PARALLEL PROJECTION

parallel projection
PARALLEL PROJECTION
  • PROJECTION
  • MAPPING
  • METHODS OF PROJECTION
  • PARALLEL PROJECTION
projection
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.  
projection1
PROJECTION
  • The subject of projection will help you to display three dimensional model on two dimensional medium (screen)…
mapping
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.
mapping1
MAPPING
  • We can mapping a point in three dimensional on a view plane Where viewer can view from their point of view..
methods of projection
METHODS OF PROJECTION
  • PARALLEL PROJECTION
  • PERSPECTIVE PROJECTION
taxanomy of projection
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)
parallel projection1
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.
use of paralel projection
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.
mathematical description of a parallel projection
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".
figure1
figure

Center of projection at infinity

Direction of projection(DOP)

Same for all points.

purpose of parallel projection
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.
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