A theory of photometric stereo for a general class of reflectance maps

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dc.contributor.advisorde Figueiredo, Rui J. P.en_US
dc.creatorTagare, Hemant D.en_US
dc.date.accessioned2009-06-04T00:04:10Zen_US
dc.date.available2009-06-04T00:04:10Zen_US
dc.date.issued1990en_US
dc.description.abstractPhotometric stereo is an image processing technique for 2$1\over 2$ dimensional surface reconstruction from local shading. The classical theory of photometric stereo has been developed only for surfaces that reflect in a Lambertian plus specular manner. However, there is plenty of experimental evidence that most real-world surfaces are not Lambertian plus specular. This thesis develops the theory of photometric stereo for non-Lambertian surfaces. First, based on the physics of reflection and scattering, a general class of reflectance maps is proposed. This class is shown to model real world data more accurately than the Lambertian model. Then, the normalized photometric stereo equation using these reflectance maps is analyzed and conditions for a globally unique solution for the equation are obtained. Furthermore, the un-normalized photometric stereo equation is studied and conditions for getting a globally unique solution using only three light sources are identified. The problem of jointly estimating the reflectance map and the surface normal is proposed and shown to be ill-posed. A regularized solution to the problem is demonstrated. Finally, it is shown that extra light sources are needed to obtain a complete reconstruction of the surface, and the number of new light sources needed to achieve this is identified.en_US
dc.format.extent135 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoThesis E.E. 1990 Tagareen_US
dc.identifier.citationTagare, Hemant D.. "A theory of photometric stereo for a general class of reflectance maps." (1990) Diss., Rice University. <a href="https://hdl.handle.net/1911/16396">https://hdl.handle.net/1911/16396</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/16396en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectElectronicsen_US
dc.subjectElectrical engineeringen_US
dc.subjectComputer scienceen_US
dc.titleA theory of photometric stereo for a general class of reflectance mapsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentElectrical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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