Direct estimation of shape from texture

Author

Garding, J.

Author_Institution

Dept. of Numerical Anal. & Comput. Sci., R. Inst. of Technol., Stockholm

Volume

15

Issue

11

fYear

1993

fDate

11/1/1993 12:00:00 AM

Firstpage

1202

Lastpage

1208

Abstract

Witkin (1981) has proposed a maximum likelihood (ML) estimator of surface orientation based on the observed directional bias of projected texture elements. However, a drawback of this procedure is that the estimate is only defined indirectly in terms of a set of nonlinear equations. An alternative method is proposed, which allows an estimate of the surface orientation to be computed directly in a single step from certain simple statistics of the image data. We also show that this direct estimate allows Witkin´s ML estimate to be computed to within 0.05° in only two or three iterative steps. The performance of the new estimator is demonstrated experimentally and compared to that of the ML estimator, using both synthetic data and real gray-level images

Keywords

estimation theory; image reconstruction; image texture; iterative methods; probability; Witkin method; gray-level images; image data; iterative method; maximum likelihood estimator; nonlinear equations; projected texture elements; shape from texture; surface orientation; Calibration; Cameras; Computer vision; Frequency; Gratings; Optimized production technology; Pattern recognition; Robot vision systems; Robotics and automation; Shape;

fLanguage

English

Journal_Title

Pattern Analysis and Machine Intelligence, IEEE Transactions on

Publisher

ieee

ISSN

0162-8828

Type

jour

DOI

10.1109/34.244682

Filename

244682