Multi-Scale Shape Representation for Profiled Fibers

In this paper, a triangle area based boundary shape representation is proposed. By selecting three evenly spaced elements sequentially from a closed edge chain, the area of triangle is calculated. The Triangle Area Representation (TAR) is calculated by changing the spacing. The Bend direction of the edge determines the sign of the triangle. TARN and TARP are negative and positive extensions of TAR, and used to measure the properties of concave and convex segment of boundary. The relation of TARP for different step length together with TARN can help the detection of fiber conglutination.