منابع مشابه
On the Probabilistic Epipolar Geometry
In this paper, we are going to answer the following question: assuming that we have estimates for the epipolar geometry and its uncertainty between two views, how probable it is that a new, independent point pair will satisfy the true epipolar geometry and be, in this sense, a feasible candidate correspondence pair? If we knew the true fundamental matrix, the answer would be trivial but in real...
متن کاملProbabilistic visibility evaluation using geometry proxies
Evaluating the visibility between two points is a fundamental problem for ray-tracing and path-tracing algorithms. Ideally, visibility computations are organized such that a minimum number of geometric primitives need to be checked for each ray. Replacing complex geometric shapes by a simpler set of primitives is one strategy to control the amount of intersection calculations. However, approxim...
متن کاملAnalytic and Probabilistic Problems in Discrete Geometry
The thesis concentrates on two problems in discrete geometry, whose solutions are obtained by analytic, probabilistic and combinatoric tools. The first chapter deals with the strong polarization problem. This states that for any sequence u1, . . . , un of norm 1 vectors in a real Hilbert space H , there exists a unit vector v ∈ H , such that X 1 〈ui, v〉2 6 n . The 2-dimensional case is proved b...
متن کاملA PROBABILISTIC APPROACH TO THE GEOMETRY OF THE np - BALL
This article investigates, by probabilistic methods, various geometric questions on B p , the unit ball of l n p . We propose realizations in terms of independent random variables of several distributions on B p , including the normalized volume measure. These representations allow us to unify and extend the known results of the sub-independence of coordinate slabs in B p . As another applicati...
متن کاملA Probabilistic Approach to the Geometry of the lp Ball
This article investigates, by probabilistic methods, various geometric questions on B p , the unit ball of l p . We propose realizations in terms of independent random variables of several distributions on B p , including the normalized volume measure. These representations allow us to unify and extend the known results of the sub-independence of coordinate slabs in B p . As another application...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1951
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.37.4.226