Title :
Shape Measures for Triangles
Author_Institution :
Sch. of Comput. Inf., & Decision Syst. Eng., Arizona State Univ., Tempe, AZ, USA
Abstract :
We compare a variety of triangle shape measures using concepts such as smoothness and convexity. We show that one of these measures, the elongation measure, lends itself to an intuitive geometric interpretation.
Keywords :
computational geometry; elongation measurement; geometric interpretation; triangle shape measurement; Eigenvalues and eigenfunctions; Interpolation; Joining processes; Lead; Loss measurement; Shape; Shape measurement; Shape; circumellipse.; condition number; triangle;
Journal_Title :
Visualization and Computer Graphics, IEEE Transactions on
DOI :
10.1109/TVCG.2010.256