Suitable for the construction of degenerate smooth interpolated surfaces patches in isogeometric analysis

Different from constructing the degenerate smooth surface patches in the field of classical geometric modeling, the paper constructs an interpolation operator based on the singular H regularity parameterization in the isogeometric analysis. First, the definition of H regularity is introduced based on singular parameterization. Then, the definition of D-patch and interpolation operator is discussed. Finally, the Gsmoothness of the interpolation surface is verified and numerical examples are given.