2018
DOI: 10.1186/s41074-018-0044-9
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Numerical shape-from-shading revisited

Abstract: This paper revisits the numerical shape-from-shading method proposed in early 1980s. The original problem is non-convex due to the unit norm constraint for surface normal, and the existing approaches including the original Ikeuchi and Horn's work uses approximate solution strategies for the original problem. This paper instead studies relaxation strategies for the original non-convex constraint and describes corresponding solution techniques that are built upon advanced convex optimization. We analyze the effe… Show more

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Cited by 5 publications
(7 citation statements)
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References 40 publications
(66 reference statements)
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“…A third factor must be considered. Whatever the exact method used, all shape‐from‐shading approaches use grey levels to compute the 3D depth map 32 . Therefore, they can only show very high sensitivity to minute changes in lighting of the raw skin texture images.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…A third factor must be considered. Whatever the exact method used, all shape‐from‐shading approaches use grey levels to compute the 3D depth map 32 . Therefore, they can only show very high sensitivity to minute changes in lighting of the raw skin texture images.…”
Section: Discussionmentioning
confidence: 99%
“…Taking advantage of its embedded validation application, its real-time connection to data storage servers/analysis software, and the possibility to produce images with unidirectional light from different angles, its analysis software suite was further developed to produce 3D depth maps based on a shape-from-shading approach. [30][31][32] This feature enables the extraction of a single skin profile, allowing the computing of skin furrows and plateaus parameters from the skin microrelief under real-life conditions. Yet, the Spa parameter extracted from raw skin texture images, Ra and Rq, as well as microrelief parameters extracted from 3D depth maps show higher variability.…”
Section: Discussionmentioning
confidence: 99%
“…Beginning with the work of B. Horn [1,2,3], Shape from Shading (SfS), algorithms enjoy a long history in computing science research [4,5,6,7,8], continue to attract theoretical investigation in the field of computer vision [9,10,11,12,13,14,15,16,17,18,19,20] and find many practical applications, e.g. in planetary research (Photoclinometry), industrial automation, medical imaging or face recognition [21,22,23,24,25,26,27,28,29].…”
Section: Introductionmentioning
confidence: 99%
“…e 3D shape was reconstructed by minimising a quadratic cost functional. More recently, Santo et al [20] revisited the numerical SFS approach of Ikeuchi and Horn [18] and described corresponding solution that was built upon different convex relaxation strategies. It is worth mentioning that Quéau et al [21] combined the advantages of optimisation methods and PDE-based methods and built a generic variational solution that is suitable for SFS under natural illumination and can handle a variety of scenarios for various lighting and camera projection.…”
Section: Introductionmentioning
confidence: 99%