First we use multiresolution to construct seamless texture map, and unwrap the cylindrical projection of a general model mesh.

Standard circle map based on circuit model and its experiment study;

In this note,we mainly prove that the following conclusion is true not only for a circte map with a periodic point but also for a general circle map f.

For strengthen its visibility, we present color proportion method to distinguish cross poly- lines, central angle mapping method to exhibit information distribution, and axes are not changed equivalently showing the detailed information in the key area.