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http://dx.doi.org/10.9717/kmms.2017.20.7.1004

A Derivation of the Accuracy Relationship between the Reconstruction of 3D Object Coordinates and the Number of Closed Curves  

Lee, Deokwoo (Department of Visual Image Design Engineering, Youngsan University)
Publication Information
Journal of Korea Multimedia Society / v.20, no.7, 2017 , pp. 1004-1013 More about this Journal
Abstract
This paper presents a relationship between the number of curves and geometric parameters of a 3D object. Once the relationship is established, the number of closed curves that can reliably represent 3D object is derived. Inspired by Shannon-Nyquist Sampling Theorem, in this paper, approach for sampling rate (defined as the minimum number of curves) for 3D reconstruction is proposed. The relationship is straightforward, is suitable for application to 3D object overlaid with closed-continuous curves, and can achieve efficient 3D reconstruction system in practice. To substantiate the proposed approach, simulation results are provided and the results show that the number of curves can be decreased without loss of generality of characteristics of a target 3D object.
Keywords
Curve based 3D Object; Sampling Density; 3D Reconstruction; Curvature;
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Times Cited By KSCI : 1  (Citation Analysis)
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