Fourier coefficients and moments of piecewise-circular curves.

•A compact shape representation by piecewise-circular curves suitable for efficient transformation and simplification.•A practical method to compute the coefficients of the Fourier series of the piecewise-circular curve.•A practical method to compute the shape moments of the enclosed region.•As a result, matching and alignment of nonpolygonal shapes based on these standard techniques can be done more efficiently.