2021/04/20 by Ferenc Nagy, Nagy, Ferenc
Engineering · Materials Science · #Advanced Numerical Analysis Techniques #3D Shape Modeling and Analysis #Textile materials and evaluations
paper · pdf · doi:10.48550/arxiv.2104.11327
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.