This paper studied the complexities of the lines by fractal dimension, and described the evolution of the shape of the line according to the scales. By fractal dimension and the scale-dependent interval, the paper estimates the scale interval in which the geometric element keeps the fractal characters, so as to keep the geometric consistency during the process of the simplification.
['Yingchao Ren', 'Jianzhi Tang', 'Sheng Wu']
Geometric properties preserved line simplification algorithm based on fractal