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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.


Example

EXAMPLE


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)


Taxanomy

TAXANOMY


Taxanomy of projection1

TAXANOMY OF PROJECTION


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".


Figure

FIGURE:


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.


The end

~~~THE END~~~


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