ABSTRACT

As already stated the fundamental problem in data smoothing is the choice of input parameter. Too large a parameter will smooth out many important features (corners, vertices, zero-crossings) and too small a parameter will produce many redundant features. This is the fundamental problem of scale, because features appearing on a curve vary enormously in size and extent and there is seldom any basis of choosing a particular parameter for a feature of particular size. This problem may be resolved by automatic parameter tuning. The parameter size can be tuned on the basis of the local properties of the curve using suitable criterion function. Teh and Chin [170] resolve this problem using chord length and perpendicular distance as the criterion function to determine the region of support of each point based on the local properties of the curve.