Lighting estimation of a convex Lambertian object using weighted spherical harmonic frames

Zhao, Wenyong; Zheng, Yuan; Wang, Lu; Peng, Silong

doi:10.1007/s11760-012-0410-5

Cited by 3 publications

(1 citation statement)

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“…Λ l and ρ l are scale with l. n = (n x , n y , n z ) is the cartesian form coordinates of the (normalized) surface normal at point v. It satisfies n 2 x + n 2 y + n 2 z = 1. Besides the spherical harmonics expansion, there are other expansion method, such as frames [16], we use spherical harmonics expansion for its simpleness.…”

Section: A Shim Modelmentioning

confidence: 99%

A Lighting Robust Fitting Approach of 3D Morphable Model Using Spherical Harmonic Illumination

et al. 2014

2014 22nd International Conference on Pattern Recognition

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3D morphable model (3DMM) is a powerful tool to recover 3D shape and texture from a single facial image. Its foundation consists of three models (i.e. face, camera, and illumination) which can simulate the formulation process of facial images. In this paper, we adopt a new illumination model, the Sphere Harmonic Illumination Model (SHIM), to the 3DMM fitting process. The new illumination model takes more lighting factors into consideration than the Phong's model. Then, we use a new optimization algorithm to optimize the shape and texture parameters simultaneously under SHIM. Compared with the the existing methods that used SHIM to recover only texture, both the shape and texture recovered by our algorithm are improved. The experiments on he CMU-PIE database also show that, compared to other state-of-the-art methods based on the Phong's model, the proposed approach enhances the robustness of the fitting of 3DMM against lighting variations.

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Section: A Shim Modelmentioning

confidence: 99%