基于恒定宽度三角形的傅立叶级数方法在字母字体中的应用

Micha Wasem, Florence Yerly
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引用次数: 0

摘要

在这项工作中,我们提出了一种新颖的字体设计方法,即使用傅立叶型数列来生成字形。我们为$L^2(S^1,\mathbb C)$中的函数构建了一个傅里叶型数列,该数列基于恒定宽度的三角形,而不是圆形来模拟定义单个字母的曲线和形状。为了计算数列的系数,我们构建了从 L^2(S^1,/mathbb C)$到 L^2(S^1,/mathbb C)$ 的同构关系,并研究了它在字母形式中的应用,从而提出了一种替代常用的 B\'ezier 曲线的方法。所提出的方法展示了在现代字体设计中进行创造性实验的潜力。
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Application of a Fourier-Type Series Approach based on Triangles of Constant Width to Letterforms
In this work, we present a novel approach to type design by using Fourier-type series to generate letterforms. We construct a Fourier-type series for functions in $L^2(S^1,\mathbb C)$ based on triangles of constant width instead of circles to model the curves and shapes that define individual characters. In order to compute the coefficients of the series, we construct an isomorphism $\mathcal R:L^2(S^1,\mathbb C)\to L^2(S^1,\mathbb C)$ and study its application to letterforms, thus presenting an alternative to the common use of B\'ezier curves. The proposed method demonstrates potential for creative experimentation in modern type design.
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