Modeling of curves and surfaces in CAD/CAM
Modeling of curves and surfaces in CAD/CAM
Algorithms for Image Processing and Computer Vision
Algorithms for Image Processing and Computer Vision
Digital Image Processing Using MATLAB
Digital Image Processing Using MATLAB
Brief paper: Periodic smoothing splines
Automatica (Journal of IFAC)
Bounded diffusion for multiscale edge detection using regularizedcubic B-spline fitting
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Constructing and reconstructing characters, words, and sentences by synthesizing writing motions
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
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This paper considers a problem of optimal design of periodic smoothing spline surfaces employing normalized uniform B-splines as the basis functions. The surface can be periodic in either of two variables or in both. The expressions for optimal solutions are concise and are readily solved numerically. These periodic surfaces can be used to construct closed or semiclosed surfaces in the 3-D space. Assuming that the data are obtained by sampling some surface with noises, we present convergent properties of optimal spline surface when the number of data becomes infinity. The results are applied to the problem of modeling contour of wet material objects with deforming motion. The effectiveness is examined by numerical and experimental studies.