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3D Projection Transformations. Contents. 3D Projections - Perspective and Parallel Projections Parallel Projections: - Orthographic and Oblique - Isometric View Oblique Projections.

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contents
Contents
  • 3D Projections

-Perspective and Parallel Projections

  • Parallel Projections:

-Orthographic and Oblique

-Isometric View

  • Oblique Projections
slide3
3D Projections3D projection is any method of mapping three-dimensional points to a two-dimensional plane.

Rays parallel to view plane

Rays converge on eye position

Perspective

Parallel

Orthographic

Oblique

Cabinet

Cavalier

Elevations

Axonometric

BACK

Isometric

perspective and parallel projections
Perspective and Parallel Projections

When the human eye views a scene, objects in the distance appear smaller than objects close by - this is known as perspective.

View plane

Parallel

Rays parallel to view plane

Perspective

Rays converge on eye position

BACK

3d projections
3D Projections

Rays converge on eye position

Rays parallel

Perspective

Parallel

Rays at an angle to view plane

Rays perpendicular to view plane

Orthographic

Oblique

Elevations

Axonometric

Cabinet

Cavalier

Isometric

BACK

parallel projections orthographic and oblique
Parallel Projections:Orthographic and Oblique

View plane

Oblique

Rays at an angle to view plane

Orthographic

Rays perpendicular to view plane

BACK

3d projections1
3D Projections

Rays parallel

Rays converge on eye position

Parallel

Perspective

Rays at angle to view plane

Rays perpendicular to view plane

Orthographic

Oblique

View plane aligned with principal axes

View plane not aligned with principal axes

Cabinet

Cavalier

Elevations

Axonometric

Isometric

Trimetric

Dimetric

BACK

isometric view
Isometric View
  • In isometric view, the three principal axes of the object intersect the view plane at equal distance. Therefore, when projected, they are 120o apart.

BACK

3d projections2
3D Projections

Rays parallel

Rays converge on eye position

Rays at angle to view plane

Parallel

Perspective

Rays perpendicular to view plane

Orthographic

Oblique

Cabinet

Cavalier

Elevations

Axonometric

Isometric

BACK

oblique projections
Oblique projections
  • Projection lines are at an angle to the view plane i.e. Projection lines are not perpendicular to view plane.

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2

a

a

Cavalier :Here direction of projection makes 45 degrees angle with view plane and the projection of a line perpendicular to view plane has same length as the line.

1

Cabinet :Here direction of projection makes 63.4 degrees angle with view plane and the projection and lines perpendicular to viewing surface are projected at one half their actual length.

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1

1/2

1

BACK

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