The concepts and
formalizations developed by Renaissance painters influenced ideas
and techniques used in modern computer graphics. When early
renaissance painters began trying to convey three-dimensional scenes
on two-dimensional planes, much of their technique was derived from
intuition. The correct formal conception of linear perspective was
not discovered (in the West) until 1413, by Filippo
Brunelleschi (Vesna, 2012). Brunelleschi's work presumably
influenced the work of Piero de la Francesca who, likely between 1472
and 1475, wrote De prespectiva pingendi, a treatise on geometrical
perspective outlining the three principal parts of painting: drawing,
proportions, and coloring (Vesna, 2012; “De
prospectiva...”).
Source: “De
prospectiva...”
The concepts
developed by Francesca directly mirror the fundamental stages in the
computer graphics pipeline needed to produce digital images:
construction, transformation, and shading. The construction stage,
where geometric primitives like points and triangles are placed in
two-dimensional space, is analogous to the principal of drawing. The
transformation stage, where the digital world and camera are altered
to produce perspective via three-dimensional matrix transformations,
is analogous to the principal of proportions. And the shading stage,
where individual pixels are assigned color and given texture, is
analogous to the principal of coloring. (For an introduction to the
computer graphics pipeline, see:
http://idav.ucdavis.edu/~obermaier/Lecture_Chapter3_a.pdf.)
The creativeness of
the human imagination coupled with the power of computer graphics
enables entire worlds to be built and shared with the masses. The
wonders achievable are best illustrated by George Lucas' Star Wars
franchise. Lucas not only directed the world-renowned film, but
also conceived and wrote it – a wholly artistic feat. (For a
history of Star Wars, see:
http://starwars.wikia.com/wiki/History_of_Star_Wars#History.)
Without the advances and formalizations of the mathematics of art in
the Early Renaissance, computer graphics would not exist, and without
computer graphics, Star Wars would not have been possible.
Source:
TheTrailerGal
Since the release of
Star Wars, computer graphics have advanced light years (humor me). We
are now able to create entirely digital worlds with all of the
richness and wonder of our physical world. The animated blockbusters
continuously released by Pixar are testament to the power of the
juxtaposition of art, technology, and mathematics.
Source: TED
Bibliography
TheTrailerGal. “Star Wars (1977) Original Trailer.” Online video clip. YouTube. YouTube, 24 Apr 2010. Web. 1 July 2016.
“De prospectiva pingendi” Aboca Museum. Aboca Museum, n.d. Web. 1 July 2016.
Vesna, Victoria. “Mathematics-pt1-ZeroPerspectiveGoldenMean.” Math+Art Lecture. Online. 1 July 2016. Online Lecture.
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