“…Since the current application relates to shape matching, the discussion is restricted to boundary representations. Several methods for boundary representation have been proposed over the years, such as implicit polynomials (Keren et al 1994, Blane et al 2000, Tasdizen et al 2000, Helzer et al 2004, Landa et al 2010, cubic splines (Rogers andAdams 1990, Sarfraz andHabib 1999), Bezier curves (Rogers and Adams 1990, Cinque et al 1998, Yang et al 2001, Sohel et al 2010) and B-spline curves (Cox 1971, Riesenfeld 1972. Among these, B-spline curves have been widely used as they ensure smoothness, compactness, local shape control, and possess the property of affine transformation invariance (Mongkolnama et al 2006).…”