论文标题
绘画的数学：意大利文艺复兴时期的投射几何形状的诞生
The Mathematics of Painting: the Birth of Projective Geometry in the Italian Renaissance
论文作者
论文摘要
我们展示了意大利文艺复兴时期的透视绘画的诞生如何导致一种解释空间的新方法，从而导致了射影的几何形状。与该主题上的其他作品不同，我们明确地展示了画家的手艺如何暗示新的点和线条（无穷大的点和线路）及其投影坐标，以完成欧几里得空间，以使现在所谓的投影空间。我们通过查看文艺复兴时期的原始绘画，并执行支撑这些杰作的明确分析计算来证明这一想法。
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.
