Line-art and its mathematical models
Line-Art and its Mathematical Models

In this paper, the authors describe the principles of Straight Line Strokes illustration, present the mathematical model of the principles, and show how a great number of lines can be implemented as main part of an automated drawing system named Line-Art. Different from traditional drawing art, Line-Art generates pictures without curves, colors, ink marks, brushes, and oil paint, but only with Straight Line Strokes. Generated pictures are composed, clipped, and plotted. The paper also introduces how to use the initial value problem of the ordinary differential equation to describe a drawing art, e.g. Line-Art.