TYPE DESIGN INFORMATION PAGE last updated on Fri Jul 20 18:14:00 EDT 2018

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LUC DEVROYE


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DIN and Klothoids

Frenchman Marie Alfred Cornu proposed his famous Cornu spirals in 1874, also known as Klothoids. They have the desirable property that curves can blend smoothly into lines, much more so than Bezier curves can blend into straight lines. Bezier-based outlines thus exhibit the characteristic kinks. To avoid them, one has to resort to design by hand. This has annoyed the designers of FF DIN Round (Albert-Jan Pool, FontShop). Clearly, there is a need to broaden the palette of curves from which type designers can choose. The FF DIN Round designers "simulated" the klothoid by using more Beziers than normal, to trick the eye.

However, the designers failed to note a remarkble property of Bezier curves. If one places the first three Bezier points on a line (the start point and two control points), and the last (end) point off the line, then the transition away from the line is "cubic", not "quadratic". Now, a simple math exercise shows that klothoids have precisely this cubic behavior that is so eye-pleasing. Did Pool try this trick? Why was it not used?

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Bezier curves ⦿ DIN ⦿








file name: 2000px Cornu Spiral


file name: Cornu Spiral


file name: Albert Jan Pool Klothoids


file name: Juergen Siebert D I N Klothoid 2010


file name: Albert Jan Pool Pic


file name: Albert Jan Pool D I N Feelings


file name: F F D I N F F D I N Round Cyrillic


file name: F F D I N F F D I N Round


file name: Albert Jan Pool F F Din Poster by Paul Guevara 2015


file name: F F D I N Round Round Parts 2010







Luc Devroye ⦿ School of Computer Science ⦿ McGill University Montreal, Canada H3A 2K6 ⦿ lucdevroye@gmail.com ⦿ http://luc.devroye.org ⦿ http://luc.devroye.org/fonts.html