Surface Properties from N-Views of a Strictly Convex Solid

Authors:
Simon Collings;Ryszard Kozera;Lyle Noakes
Affiliations:
School of Mathematics and Statistics University of Western Australia 35 Stirling Hwy, Crawley, W.A. 6009, Perth, Australia. E-mail: scolling@maths.uwa.edu.au;School of Computer Science and Software Engineering University Western Australia 35 Stirling Hwy, Crawley, W.A. 6009, Perth, Australia. E-mail: ryszard@csse.uwa.edu.au;School of Mathematics and Statistics University of Western Australia 35 Stirling Hwy, Crawley, W.A. 6009, Perth, Australia. E-mail: scolling@maths.uwa.edu.au
Venue:
Fundamenta Informaticae
Year:
2006

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Abstract

This paper shows that a strictly convex solid under observation by two or more cameras with known extrinsic and intrinsic parameters contains points on its surface calculable in terms of multiple photographic images. In the case of a solid with a C$^1$ boundary we can also extract surface orientation at these points, and when the solid has a C$^2$ boundary and a known reflectance map, curvature information can also be calculated.