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3D Projection Transformations

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

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3D Projection Transformations

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  1. 3D Projection Transformations

  2. Contents • 3D Projections -Perspective and Parallel Projections • Parallel Projections: -Orthographic and Oblique -Isometric View • Oblique Projections

  3. 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

  4. 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

  5. 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

  6. Parallel Projections:Orthographic and Oblique View plane Oblique Rays at an angle to view plane Orthographic Rays perpendicular to view plane BACK

  7. 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

  8. 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

  9. 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

  10. Oblique projections • Projection lines are at an angle to the view plane i.e. Projection lines are not perpendicular to view plane. 1 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. 1 1 1/2 1 BACK 1

  11. Thanks !!!

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