Picture plane placement: In perspective construction, can the picture plane be located either in front of the object (between eye and object) or behind the object relative to the station point?

Introduction / Context:
The picture plane (PP) is a central concept in perspective. Most teaching places the PP between the station point (eye) and the object, but constructions also allow the PP to be located beyond the object. This question asks if both placements are permissible.

Given Data / Assumptions:

• Station point (SP) defines the observer’s position.
• PP is the “window” where the perspective image is formed.
• Ground plane and horizon/eye level are defined relative to SP and PP.

Concept / Approach:
Perspective is a projective mapping from 3D to 2D. Rays pass from SP through object points, intersecting PP. Whether PP lies between SP and the object or beyond the object, the intersection still forms a valid perspective image. Placing PP behind the object can change scale and cropping but remains a legitimate construction method.

Step-by-Step Solution:
Draw rays from SP through object points.Set PP either before or beyond the object; both are planar surfaces intersecting the rays.Where rays meet PP defines the projected image; both placements are geometrically sound.Therefore the statement is correct.

Verification / Alternative check:
Projective geometry treats PP position flexibly; image differences are scaling and visibility, not validity. Some workflows use PP behind the object to maintain desired layout proportions.

Why Other Options Are Wrong:
Restricting validity to one-point, elevated horizons, or oblique projection confuses specific setups with the general projective principle.

Common Pitfalls:
Believing PP must always be between SP and object; conflating common teaching practice with geometric necessity.

Final Answer:
Correct