A method for rectifying grid junctions in grid-coded images using cross ratio

In the grid-coding technique, the accurate grid junction locations are vital to the surface computation. Noise arising from the imaging formation and processing processes will jeopardize the computation accuracy. The objective of this study is to make use of the geometric property of cross ratio to improve the accuracy of grid junction locations in grid-coded images. A method is devised to regenerate grid junctions from the original (i.e. raw) junction data of an image. Through a statistical error analysis, we show that the regenerated junction data are generally more accurate than the old ones in the image taken from a wide range of viewing angles.

[1]  George C. Stockman,et al.  Surface Orientation from a Projected Grid , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  Yuan-Fang Wang,et al.  Integration of active and passive sensing techniques for representing three-dimensional objects , 1989, IEEE Trans. Robotics Autom..

[3]  Minoru Asada,et al.  Determining Surface Orientation by Projecting a Stripe Pattern , 1988, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  Din-Chang Tseng,et al.  Polyhedral face reconstruction and modeling from a single image with structured light , 1993, IEEE Trans. Syst. Man Cybern..

[5]  Richard O. Duda,et al.  Pattern classification and scene analysis , 1974, A Wiley-Interscience publication.

[6]  Zen Chen,et al.  Measuring 3-D location and shape parameters of cylinders by a spatial encoding technique , 1994, IEEE Trans. Robotics Autom..

[7]  Din-Chang Tseng,et al.  Computing location and orientation of polyhedral surfaces using a laser-based vision system , 1991, IEEE Trans. Robotics Autom..

[8]  Gongzhu Hu,et al.  3-D Surface Solution Using Structured Light and Constraint Propagation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[9]  Yuan-Fang Wang,et al.  Computation of Surface Orientation and Structure of Objects Using Grid Coding , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[10]  Guo Lei,et al.  Recognition of planar objects in 3-D space from single perspective views using cross ratio , 1990, IEEE Trans. Robotics Autom..

[11]  P. M. Will,et al.  Grid coding: A novel technique for image processing , 1972 .