Optimal illumination for three-image photometric stereo acquisition of texture

1 Andy Spence and Mike Chantler are with the Texture Lab, Heriot-Watt University, Edinburgh, Scotland ( M.J.Chantler@hw.ac.uk ) Abstract The optimal placement of the illumination for threeimage photometric stereo acquisition of smooth and rough surface textures is derived and verified experimentally. The sensitivities of the scaled surface normal elements are derived and used to provide expressions for the noise variances. An overall figure of merit is developed by considering image-based rendering (i.e. relighting) of Lambertian surfaces. This metric is optimised with respect to the illumination angles. The optimal separation between the tilt angles of successive illumination vectors was found to be 120°. The optimal slant angle was found to be 90° for smooth surface textures and 55° for rough surface textures.

[1]  E. North Coleman,et al.  Obtaining 3-dimensional shape of textured and specular surfaces using four-source photometry , 1982, Comput. Graph. Image Process..

[2]  Per-Åke Johansson,et al.  Topography and reflectance analysis of paper surfaces using a photometric stereo method , 2000 .

[3]  Karsten Schlüns,et al.  Shading Based 3 D Shape Recovery in the Presence of Shadows , 1997 .

[4]  Gabriel Taubin,et al.  Appying Shape from Lighting Variation to Bump Map Capture , 1997, Rendering Techniques.

[5]  Alex Pentland,et al.  On the Imaging of Fractal Surfaces , 1988, IEEE Trans. Pattern Anal. Mach. Intell..

[6]  Maria Petrou,et al.  Colour photometric stereo: simultaneous reconstruction of local gradient and colour of rough textured surfaces , 2001, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001.

[7]  Y. J. Tejwani,et al.  Robot vision , 1989, IEEE International Symposium on Circuits and Systems,.

[8]  M. Chantler,et al.  Optimal illumination for three-image photometric stereo using sensitivity analysis , 2006 .

[9]  Robert J. Woodham,et al.  Photometric method for determining surface orientation from multiple images , 1980 .

[10]  M. Chantler.  Why illuminant direction is fundamental to texture analysis , 2022 .

[11]  C.-C. Jay Kuo,et al.  Shape reconstruction from photometric stereo , 1992, Proceedings 1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[12]  Hideo Saito,et al.  3D Reconstruction of Skin Surface from Image Sequence , 1998, MVA.

[13]  James F. Blinn,et al.  Simulation of wrinkled surfaces , 1978, SIGGRAPH.