<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The shape-from-shading (SFS) technique uses the pattern of shading in images in order to obtain 3D view information. By virtue of their ease of implementation, linearization-based SFS algorithms are frequently used in the literature. In this study, Fourier coefficients of central differences obtained from gray-level images are employed, and two basic linearization-based algorithms are combined. By using the functionally generated surfaces and 3D reconstruction datasets, the hybrid algorithm is compared with linearization-based approaches. Five different evaluation metrics are applied on recovered depth maps and the corresponding gray-level images. The results on defective sample surfaces are also included to show the effect of the algorithm on surface reconstruction. The proposed method can prevent erroneous estimates on object boundaries and produce satisfactory 3D reconstruction results in a low number of iterations.</p>
</abstract>

The shape-from-shading (SFS) technique uses the pattern of shading in images in order to obtain 3D view information. By virtue of their ease of implementation, linearization-based SFS algorithms are frequently used in the literature. In this study, Fourier coefficients of central differences obtained from gray-level images are employed, and two basic linearization-based algorithms are combined. By using the functionally generated surfaces and 3D reconstruction datasets, the hybrid algorithm is compared with linearization-based approaches. Five different evaluation metrics are applied on recovered depth maps and the corresponding gray-level images. The results on defective sample surfaces are also included to show the effect of the algorithm on surface reconstruction. The proposed method can prevent erroneous estimates on object boundaries and produce satisfactory 3D reconstruction results in a low number of iterations.

A Linearization–Based Hybrid Approach for 3D Reconstruction of Objects in a Single Image

Department of Information Systems Engineering

Department of Computer Engineering and Computer Science

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The shape-from-shading (SFS) technique uses the pattern of shading in images in order to obtain 3D view information. By virtue of their ease of implementation,...

A Linearization–Based Hybrid Approach for 3D Reconstruction of Objects in a Single Image

Published Online: Sep 27, 2021

Page range: 501 - 513

Received: Nov 05, 2020

Accepted: Jun 08, 2021

DOI: https://doi.org/10.34768/amcs-2021-0034

Keywords
3D reconstruction, shape from shading, shape recovery, image comparison, surface inspection

© 2021 Muhammed Kotan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

A Linearization–Based Hybrid Approach for 3D Reconstruction of Objects in a Single Image

Published Online: Sep 27, 2021

Page range: 501 - 513

Received: Nov 05, 2020

Accepted: Jun 08, 2021

DOI: https://doi.org/10.34768/amcs-2021-0034

Keywords3D reconstruction, shape from shading, shape recovery, image comparison, surface inspection

© 2021 Muhammed Kotan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
3D reconstruction, shape from shading, shape recovery, image comparison, surface inspection