We introduce a new method to approximate algebraic space curves. The algorithm combines a subdivision technique with local approximation of piecewise regular algebraic curve segments. The local technique computes pairs of polynomials with modified Taylor expansions and generates approximating circular arcs. We analyze the connection between the generated approximating arcs and the osculating ci...

In stereoscopic images, the behavior of a curve in space is related to the appearance of the curve in the Ieft and right image planes. Formally, this relationship is governeci by the projective geometry induced by the stereo camera configuration and by the differentiai structure of the curve in the scene. In this thesis, 1 propose that the correspondence problemmatching corresponding points in ...

For a convex curve in an even-dimensional aane space we introduce a series of convex domains (called Young hulls) describe their structure and give a formulas for the volume of the biggest of these domains. A simple smooth curve in R m is called convex if the total multiplicity of its intersection with any aane hyperplane does not exceed m. Note that each convex curve is nondegen-erate, i.e. ha...

Konstantinos Kontogiannis, András Sóbester University of Southampton, Southampton, UK Nigel Taylor MBDA, Filton, UK Nomenclature ICFA = Internal Conical Flow A α = osculating plane angle to the vertical axis β = effective shockwave angle γ = angle between shockwave profile and upper surface profile curve θ = inclination of the leading edge with respect to the horizontal plane λ = effective swee...