NDLI: Three-dimensional curve fitting based on cubic B-spline interpolation curve

Content Provider	IEEE Xplore Digital Library
Author	Yan Wan Suna Yin
Copyright Year	2014
Description	Author affiliation: Dept. of Comput. Sci. & Technol., Donghua Univ., Shanghai, China (Yan Wan; Suna Yin)
Abstract	Recent advances in curve fitting have led to substantial improvements in Computer Graphics, achieving a resolution of curve simulation in two dimensions. However, previous research on curve fitting was based on traditional parameterization methods, which could only be appropriate for particular situations. Furthermore, previous studies were only used for two dimensions. Thus, this paper introduces a new dynamic parameterization, points selection methods on point cloud and curve fitting algorithms in 3D. The points selection method utilizes the k-d tree and k-nearest neighbor search technique in PCL to rapidly require the data of points on the surface of a body. Based on those data, the proposed dynamic parameterization method provides parameter viable, many of which cannot be calculated accurately with conventional methods. From the parameter viable, interpolation points are generated by the equation of B-spline curve, and then an interpolation curve can be constructed by those interpolation points. Thus, compared to traditional methods, the proposed algorithm overcomes difficulties in providing predicted function expressions of the fitted curve. The three-dimensional curve-fitting can be used for metrology, medical applications and other aspects in life, and its application enable manufactures to minimize the manual labor costs.
Starting Page	765
Ending Page	770
File Size	616136
Page Count	6
File Format	PDF
ISBN	9781479958351
DOI	10.1109/CISP.2014.7003880
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-10-14
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	cubic B-spline interpolation curve Signal processing curve fitting three-dimensional curve
Content Type	Text
Resource Type	Article

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