منابع مشابه
On the degree of the polynomial defining a planar algebraic curves of constant width
In this paper, we consider a family of closed planar algebraic curves C which are given in parametrization form via a trigonometric polynomial p. When C is the boundary of a compact convex set, the polynomial p represents the support function of this set. Our aim is to examine properties of the degree of the defining polynomial of this family of curves in terms of the degree of p. Thanks to the...
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A bounded convex set has constant width d iff any two parallel (and nonidentical) tangent planes to it have identical distance d from each other. Clearly balls have this property, but there are also other sets of constant width. This lecture was originally designed for a general audience as part of a series of lectures during the German “Year of Mathematics” 2008. It starts by presenting eviden...
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We introduce a number of new results in the context of multi-view geometry from general algebraic curves. We start with the derivation of the extended Kruppa’s equations which are responsible for describing the epipolar constraint of two projections of a general (non-planar) algebraic curve. As part of the derivation of those constraints we address the issue of dimension analysis and as a resul...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1967
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1967.100801