Determination of the curvature of surfaces and surface profiles

D. J. Amalraj; Kumar Eswaran; N. Sundararajan

doi:10.1117/12.19764

1 August 1990 Determination of the curvature of surfaces and surface profiles

D. J. Amalraj, Kumar Eswaran, N. Sundararajan

Proceedings Volume 1251, Curves and Surfaces in Computer Vision and Graphics; (1990) https://doi.org/10.1117/12.19764
Event: Electronic Imaging: Advanced Devices and Systems, 1990, Santa Clara, CA, United States

Abstract

A specification of the curvatures at all points determines the surface of an object uniquely except for a translation and a rotation. The aim of this study is to determine the curvatures at different points on various objects in the scene. This is done by a lighting arrangement, wherein the surface of objects are illuminated by a source of light beams which pass through a reference grid structure. The distance information is obtained by finding the intersection points between the lines backprojected from the image to the object and lines projected from the reference grid. The curvature of the surface at a point is calculated by using the information regarding the relative distances of the grid lines as seen on the object around the point. The surface is now uniquely determined as both distance information and curvature is known for different points on the surface. The method presented can be used to obtain the 'curvature image' for machine vision and object recognition applications.

Citation Download Citation

D. J. Amalraj, Kumar Eswaran, and N. Sundararajan "Determination of the curvature of surfaces and surface profiles", Proc. SPIE 1251, Curves and Surfaces in Computer Vision and Graphics, (1 August 1990); https://doi.org/10.1117/12.19764

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