Abstract
This paper describes surface interpolation method using spline function and definitions of 3D surface parameters. A surface which can be differentiated mathematically is made by interpolating a discrete and quantized measurement data. B-spline is used in the interpolation. The 3D surface parameters, slope parameter and local peak, are calculated uniquely by mathematical and computational way. The presented method has advantages of current surrounding 4 point method or 8 point one. The spline interpolation can be linked to the spline filter, then the presented evaluation scheme is general and systematic.
