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114
Draw a unit cube using 1-Point / 2-Point / 3-Point Perspective!
1-Point:
Vanishing point
is identical with the projection center
. Draw lines from cube edge
to
. The vanishing points of the cube diagonals
are found by adding lines with distance
to the projection center, parallel to the edges of the cube.
2-Point:
Vanishing points
,
lie on a line with the projection center
. Given a cube edge
, add connections from the end vertices to the vanishing points.
Now, consider shifting the upper corner
of the cube into the projection center. Then,
forms a right triangle with
and
, where
is the footpoint of
. Given the lengths
,
, we can construct the vanishing points of the diagonals of the cube.
and
can be found geometrically by constructing a half circle above
and intersecting it with the perpendicular above
.
3-Point:
Only the three vanishing points
are given. The projection center
is found by intersecting the three heights of the triangle
. Based on these heights, we again use Thales' theorem to find the right triangles above the edges of the vanishing point triangle. By intersecting the angle bisectors with the respective edges, the diagonal vanishing points
are found.
Vanishing point
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2-Point:
Vanishing points
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Now, consider shifting the upper corner
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3-Point:
Only the three vanishing points
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Flashcard info:
Author: janisborn
Main topic: Informatik
Topic: Computergrafik
School / Univ.: RWTH Aachen
City: Aachen
Published: 18.05.2022