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Abstract
Hybrid splines whose bases are constructed by multi-order B-splines are presented. B-splines of order 2 are induced for representing corners, and those of orders 3 or 4 for representing curved parts. The hybrid splines can represent not only smooth parts (class Cm−22:m≥3) but also corners (class C°): Hybrid splines of order 2 and 4 cannot be represented by conventional splines with multiple knots. Satisfactory approximation results are obtained by hybrid splines of order 2 and 4 determined by a least-squares method.