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Surface Properties from N-Views of a Strictly Convex Solid

Collings S., Kozera R., Noakes L.

Fundamenta Informaticae

2006

Vol. 72, nr 4

4437-452

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 C1 boundary we can also extract surface orientation at these points, and when the solid has a C2 boundary and a known reflectance map, curvature information can also be calculated.

C1 Interpolation with Cumulative Chord Cubics

Kozera R., Noakes L.

Fundamenta Informaticae

2004

Vol. 61, nr 3,4

285--301

Cumulative chord C1 piecewise-cubics, for unparameterized data from regular curves in Rn, are constructed as follows. In the first step derivatives at given ordered interpolation points are estimated from ordinary (non-C1) cumulative chord piecewise-cubics. Then Hermite interpolation is used to generate a C1 piecewise-cubic interpolant. Theoretical estimates of orders of approximation are established, and their sharpness verified through numerical experiments. Good performance of the interpolant is also confirmed experimentally on sparse data.