Title: An attempt at creating font transitions
Summary:
an example of mathematically interpolating between sans serif and serif fonts.
Full text of article: publicly available now.
Author:
S.K. Venkatesan
Publication: TUGboat
volume 42, number 1 (2021),
pages 56-59
DOI (this page):
10.47397/tb/42-1/tb130venkatesan-transfont
(previous doi
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Category:
Fonts
Difficulty: Advanced
Abstract:
In this short note we discuss the abstract topological aspects of
fonts and how a simple homotopy deformation can be created to
transition a glyph in one font to that of another font. We demonstrate
interesting transitions for some fonts from sans-serif to serif using
a JavaScript implementation of a simple algorithm. We also discuss
other cases which involve deformations that map non-homeomorphic
configurations that involve catastrophic bifurcations.
References:
- Knuth, D.E. (1982) The Concept of a Meta-Font, Visible Language, Vol. 16, No. 1, pp. 3–27. visiblelanguage.herokuapp.com/issue/61
- Hofstadter, D. (1996) Metamagical Themas: Questing for the essence of mind and pattern. Chapter 13: Comments on Donald Knuth’s Article ‘The Concept of a Meta-Font’. Basic Books.
- Alexander, J.W. (1920) A proof of Jordan’s Theorem about a simple closed curve. Annals of Mathematics, Vol. 21, No. 3, pp. 180–184. doi.org/10.2307/2007256
- Thom, R. (1972) Structural Stability and Morphogenesis. W.A. Benjamin.
- Arnold, V.I. (1984) Catastrophe Theory. Springer-Verlag.
- Tao, T. (2006) Perelman’s proof of the Poincaré conjecture: A nonlinear PDE perspective. arxiv.org/abs/math/0610903 See also: claymath.org/millennium-problems-poincar%C3%A9-conjecture/perelmans-solution
- Dickson, B. (2020) What is one-shot learning? bdtechtalks.com/2020/08/12/what-is-one-shot-learning
TUGboat 42:1, 2021 (issue 130)
[generated 2021-11-24]