منابع مشابه
Minimal Sets of Visibility
Let 5 be a set in an «-dimensional Euclidean space, E„. The following concept was used by Horn and Valentine [2] in their study of L sets, and it provides the basis of this investigation. Definition 1. A set VES is a set of visibility in S if, given any point p ES, there exists a point qEV such that the closed segment pqQS. Notation. Given a point xES, let Vix) denote a continuum1 of visibility...
متن کاملOn Visibility and Covering by Convex Sets
A set X IR d is n-convex if among any n its points there exist two such that the segment connecting them is contained in X. Perles and Shelah have shown that any closed (n + 1)-convex set in the plane is the union of at most n 6 convex sets. We improve their bound to 18n 3 , and show a lower bound of order (n 2). We also show that if X IR 2 is an n-convex set such that its complement has one-po...
متن کاملAdvanced Steganographic Approach for Hiding Encrypted Secret Message in LSB, LSB+1, LSB+2 and LSB+3 Bits in Non standard Cover Files
In digital steganography normally image, audio or video files are the standard cover files or the host files for embedding secret message such as text, image, audio or video. Nath et al.(2) explored the standard method for hiding secret message inside standard cover files such as image, audio or video files. In the present work we have shown how we can hide secret message in encrypted form in s...
متن کاملOrienting raw point sets by global contraction and visibility voting
We present a global method for consistently orienting a defective raw point set with noise, non-uniformities and thin sharp features. Our method seamlessly combines two simple but effective techniques—constrained Laplacian smoothing and visibility voting—to tackle this challenge. First, we apply a Laplacian contraction to the given point cloud, which shrinks the shape a little bit. Each shrunk ...
متن کاملCLEAR VISmmiTY AND THE DIMENSION OF KERNELS OF STARSHAPED SETS
This paper will use the concept of clearly visible to obtain a Krasnosel'skii-type theorem for the dimension of the kernel of a starshaped set, and the following result will be proved: For each fc and n, 1 < k < n, let f(n,n) = n -\1 and /(n, fc) = 2n if 1 < fc < n — 1. Let S be a nonempty compact set in Rn. Then for a fc with 1 < fc < n, dim ker S > fc if and only if every f(n, fc) points of b...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1988
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1988-0955012-0