Answer :
Final answer:
Perspective projections use a single point of origin for projectors and display depth through monocular cues like linear perspective. Orthographic and oblique projections use parallel projectors that intersect with the projection plane either perpendicularly or at a non-perpendicular angle, giving an accurate, scale-size image of the object without depth.
Explanation:
In both perspective and orthographic projections, projectors (or projection lines) are used to represent three-dimensional objects in two dimensions. However, the differences lie in sightlines and the angle at which these projectors intersect the projection plane (the plane onto which the 3D object is being projected).
In a perspective projection, the projectors originate from a single point (the camera or viewpoint) and spread out to intersect the projection plane. This gives the illusion of depth and is commonly used in art or photography, where monocular cues such as linear perspective are used. Linear perspective involves the perceived converging of parallel lines as they move farther away from the viewer.
In contrast, orthographic and oblique projections use parallel projectors that hit the projection plane at a right angle (orthographic) or at a non-perpendicular angle (oblique). These projections do not represent depth, making them true to scale, but they can distort the object's appearance if not viewed from the intended angle. Orthographic projections are commonly used in engineering and design, as they accurately represent the size and shape of an object without distortion.
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