A Sampling Theorem for a 3D Generic Surface Reconstruction 


Vol. 42,  No. 7, pp. 1485-1492, Jul.  2017
10.7840/kics.2017.42.7.1485


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  Abstract

This paper proposes the approach to determination of a minimum sampling rate to achieve efficient 3D reconstruction. According to increase of the interest in diverse areas such as virtual reality, augmented reality, automatic vision system, etc., numerous research has contributed to accomplish sufficient accuracy of 3D real world objects or scenes. However, sampling rate determination for efficient reconstruction has not gained much attention compared to the accurate reconstruction itself. Akin to Shannon-Nyquist Sampling Theorem in 1D signal processing, this paper proposes the approach to determination of the maximum frequency component and sampling frequency of an object surface that is represented using closed curves. The relationship between geometric parameter of the object surface overlaid with a set of closed curves and a frequency component of the curves provides sampling criterion for 3D reconstruction. To substantiate the proposed approach, simulation results are provided in this paper.

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  Cite this article

[IEEE Style]

D. Lee, "A Sampling Theorem for a 3D Generic Surface Reconstruction," The Journal of Korean Institute of Communications and Information Sciences, vol. 42, no. 7, pp. 1485-1492, 2017. DOI: 10.7840/kics.2017.42.7.1485.

[ACM Style]

Deokwoo Lee. 2017. A Sampling Theorem for a 3D Generic Surface Reconstruction. The Journal of Korean Institute of Communications and Information Sciences, 42, 7, (2017), 1485-1492. DOI: 10.7840/kics.2017.42.7.1485.

[KICS Style]

Deokwoo Lee, "A Sampling Theorem for a 3D Generic Surface Reconstruction," The Journal of Korean Institute of Communications and Information Sciences, vol. 42, no. 7, pp. 1485-1492, 7. 2017. (https://doi.org/10.7840/kics.2017.42.7.1485)

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pISSN : 1226 - 4717
eISSN : 2287 - 3880