Central perspective is the art and mathematics of realistically depicting ... The principles of perspective drawing were elucidated by the Florentine architect F.
EuroS (LPO Jacques Ruffi´e) Central perspective June 30, 2009 (This session is partly inspired from the site http://mathworld.wolfram.com)
Central perspective is the art and mathematics of realistically depicting three-dimensional objects in a two-dimensional plane, sometimes called centric or natural perspective to distinguish it from parallel perspective. The study of the projection of objects in a plane is called projective geometry. The principles of perspective drawing were elucidated by the Florentine architect F. Brunelleschi (1377-1446). These rules are summarized by Dixon (1991): 1. The horizon appears as a line. 2. Straight lines in space appear as straight lines in the image. 3. Sets of parallel lines meet at a vanishing point on the horizon line. 4. Lines parallel to the picture plane appear parallel and therefore have no vanishing point.
1˚ Let’s draw a box using one-point perspective. a) Draw a horizon line about one-third down a blank page. Mark a spot roughly in the middle of the line. That’s your vanishing point. b) Draw a rectangle about two-thirds down the page (below the horizon line), roughly in the middle. c) Lightly draw lines from the top two corners to the vanishing point. d) Draw a horizontal line between these two orthogonals (”vanishing lines”). This is the back of the box. Darken the lines between this horizontal and the box, and erase the rest of the vanishing lines up to the horizon. There! A 3-D box.. 2˚ Draw a second box to the side of the vanishing point (you will need to also draw a vanishing line from the bottom corner). 3˚ Try a more complicated shape (a house for example) on the same sheet. 4˚ On a new page, draw a box using two-point perspective. 5˚ Using one-point perspective, draw a flat landscape with a road vanishing into the horizon, a house in the first plane and poplars along the road (beware, the poplars have to be spaced out regularly). 6˚ Draw a house in two-point perspective. You can also try a chessboard...
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