  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.
