Isoptics of log-aesthetic curves

Ferenc Nagy

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arXiv · 2104.11327

Isoptics of log-aesthetic curves

Ferenc Nagy

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Abstract

The log-aesthetic curve has a significant factor in the field of aesthetic design to meet the high industrial requirements. It has much exceptional property and a large number of research papers are published, since its introduction. It can be parametrized by tangential angle, and it is autoevolute, meaning that its evolute is also a log-aesthetic curve. In this paper, we will examine the isoptics of the log-aesthetic curve and determine if it is autoisoptic as well. We will show that the log-aesthetic curve only coincides its isoptic in some specific cases. We will also provide a new formula to calculate the isoptic curve of any tangential angle parametrized curves.

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Ferenc Nagy. 2021-04-20. Isoptics of log-aesthetic curves. https://arxiv.org/abs/2104.11327

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