Toward surface reconstruction using multi-image shape from shading

authored by: Christian Heipke, Christian Piechullek
Abstract: We investigate multi-image shape from shading. Using this method the heights and the albedo of the object surface are simultaneously estimated from the pixel grey values of any given number of images taken from arbitrary camera positions, and control information. The perspective projection is used for the transformation from object into image space. The existence and the uniqueness of the solution of the described algorithm is analyzed. The following results have been derived: (1) One image allows for the reconstruction of surface inclinations of a surface assumed to be a bilinear mesh. (2) Two images with different exterior orientation allow for the calculation of surface heights. It is not necessary to use conjugate points. (3) If at least three images with different light source positions are available, the reconstruction of arbitrary surfaces with varying albedo is possible. For selected cases the results are verified using synthetic images. The theoretical standard deviations of the unknown heights are used to assess the quality of the surface reconstruction.
External Organisation(s): Technical University of Munich (TUM)
Type: Conference contribution
Pages: 361-369
No. of pages: 9
Publication date: 1994
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Electronic, Optical and Magnetic Materials, Condensed Matter Physics, Computer Science Applications, Applied Mathematics, Electrical and Electronic Engineering

BibTeX

@inproceedings{7fd36dfc9fa645868d3e858b356b7587,
title = "Toward surface reconstruction using multi-image shape from shading",
abstract = "We investigate multi-image shape from shading. Using this method the heights and the albedo of the object surface are simultaneously estimated from the pixel grey values of any given number of images taken from arbitrary camera positions, and control information. The perspective projection is used for the transformation from object into image space. The existence and the uniqueness of the solution of the described algorithm is analyzed. The following results have been derived: (1) One image allows for the reconstruction of surface inclinations of a surface assumed to be a bilinear mesh. (2) Two images with different exterior orientation allow for the calculation of surface heights. It is not necessary to use conjugate points. (3) If at least three images with different light source positions are available, the reconstruction of arbitrary surfaces with varying albedo is possible. For selected cases the results are verified using synthetic images. The theoretical standard deviations of the unknown heights are used to assess the quality of the surface reconstruction.",
author = "Christian Heipke and Christian Piechullek",
year = "1994",
language = "English",
isbn = "0819416967",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
pages = "361--369",
editor = "Heinrich Ebner and Christian Heipke and Konrad Eder",
booktitle = "Proceedings of SPIE",
note = "ISPRS Commission III Symposium: Spatial Information from Digital Photogrammetry and Computer Vision ; Conference date: 05-09-1994 Through 09-09-1994",
}