- 2081 Chaitra (new course) · 3 marks
Parallel versus oblique projection
Short answer
Parallel projection uses parallel projectors; oblique is a subtype where projectors are not perpendicular to the view plane. Orthographic projectors are perpendicular; oblique shows front face true shape and depth sides, with types like cavalier and cabinet.
Differentiate between parallel projection and oblique projection.
Parallel projection projects points along parallel lines (projectors) onto the view plane. Oblique projection is one kind of parallel projection in which the projectors are not perpendicular to the view plane. The other kind is orthographic, where projectors are perpendicular.
| Point | Parallel projection (general) | Oblique projection |
|---|---|---|
| Meaning | All projectors are parallel | Parallel projectors at an angle (not 90°) to the view plane |
| Includes | Orthographic and oblique | A subtype of parallel |
| Projector direction | Perpendicular (orthographic) or slanted | Always slanted |
| View of object | Orthographic shows one face per view, true shape | Shows front face in true shape plus depth sides together |
| Types | Multiview, axonometric (isometric etc.), oblique | Cavalier (α = 45°), cabinet (α = 63.4°) |
| Matrix | Orthographic: diag(1,1,0,1) | Third column has L1cosφ, L1sinφ |
| Use | Engineering drawings | Quick pictorial sketches |
✓ Answer checked by Claude Opus 5.5 (high effort)
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