This paper discusses the representation and reasoning of spatial data in a qualitative manner. Previously, we proposed a symbolic expression to represent the abstract shape of a curve on a two-dimensional plane. In this expression, the curve is generated by connecting multiple primitive segments, each characterized by an abstract direction and curvature. A method was proposed to determine whether the curve forms a spiral, which is unsuitable as a border for a natural object. However, this method has drawbacks. In this paper, we revise the method and prove its properties. In addition, we demonstrate that it is possible to draw a curve in a specified abstract shape using the proposed expression.