A solution to the generalized Duda and Hart problem using Fourier parameterization

In a classic paper, R.O. Duda and P.E. Hart (1972) solved the unboundedness and non-uniformity problems of the line Hough transform by introducing a modified /spl rho/-/spl theta/ parameterization. Unfortunately, no equivalent parameterization exists for curves. W. Lam et al. (1993) proposed the Fourier descriptor as the parameterized curve equation in a Hough transform. We show that all parameters in this Fourier parameterization are bounded and have uniform accuracy. Experiments are conducted to test the parameterization in the case of ellipse detection. The robustness and quantization characteristics are compared with the standard parameterization.<
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