Oblique projection - Wikipedia
The term cabinet projection stems from its use in illustrations by the furniture industry. [9] Like cavalier perspective, one face of the projected object is parallel to the viewing plane, and the third axis is projected as going off at an angle (typically atan(2) or about ~63.4°).
3D projection - Wikipedia
A 3D projection (or graphical projection) is a design technique used to display a three-dimensional (3D) object on a two-dimensional (2D) surface.
In 3D, we map points from 3-space to the projection plane (PP) along projectors emanating from the center of projection (COP). There are two basic types of projections: w Perspective - distance from COP to PP finite w Parallel - distance from COP to PP infinite Perspective vs. parallel projections Perspective projections pros and cons:
Figure 2: (a) Cavalier projection and (b) cabinet projection. A cabinet projection overcomes the ‘thickness’ problem of a cavalier projection in that the foreshortening factor for faces perpendicular to the viewing plane is chosen to be 1
Two oblique projections are well known: Cavalier and Cabinet. Cavalier Projection: It results when the angle of projection is 45º. In this projection all the three foreshortening factors are equal and the image appears too thick. Cabinet Projection: It is an oblique projection with foreshortening factor for edges perpendicular to
Cabinet projection - tpub.com
When you reduce the scale by half, it is called a cabinet projection. The term cabinet drawing comes from drawings in the furniture industry. Figure 6-6 shows a bookcase with the receding axis reduced in scale by half.
Homogeneous Coordinates The ray p = (x 1, x 2, x 3) and (λx 1, λx 2, λx 3) are the same and are mapped to the same point m in P • p is the coordinate vector of m, (x1, x 2, x 3) its homogeneous coordinates The planes (A, B, C) and (λA, λB, λC) are the same and are mapped to the same line l in P • L is the coordinate vector of l, (A, B, C) its homogeneous coordinates
Cavalier and Cabinet Parallel Projections •Typical choices for φ are 30 or 45 degrees. •tan α is usually chosen to be 1 or 2. •The (45,1) case is called a cavalier projection (lines perp to viewing axis retain their length) •The (30,2) case is called a cabinet projection (lines perp to viewing axis half their length)
Two common types are cavalier and cabinet projec-tions. Cavalier projection uses an equal proportional scale for the front, top, and width (depth). It is used for common objects that are neither excessively long nor excessively deep. Cabinet projection reduces the width (or depth) by a proportional scale factor, typically by one-half. A
In 3D, we map points from 3-space to the projection plane (PP) along projectors emanating from the center of projection (COP). There are two basic types of projections: w Perspective - distance from COP to PP finite w Parallel - distance from COP to PP infinite