The Mathematics of Painting: the Birth of Projective Geometry in the Italian Renaissance
ICCM notices(2022)
摘要
We show how the birth of perspective painting in the Italian Renaissance led
to a new way of interpreting space that resulted in the creation of projective
geometry. Unlike other works on this subject, we explicitly show how the craft
of the painters implied the introduction of new points and lines (points and
lines at infinity) and their projective coordinates to complete the Euclidean
space to what is now called projective space. We demonstrate this idea by
looking at original paintings from the Renaissance, and by carrying out the
explicit analytic calculations that underpin those masterpieces.
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关键词
projective geometry,renaissance,painting,mathematics
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