Approximation by φ(ax) L(A, x) on finite point sets

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Large simplices determined by finite point sets

Given a set P of n points in R, let d1 > d2 > . . . denote all distinct inter-point distances generated by point pairs in P . It was shown by Schur, Martini, Perles, and Kupitz that there is at most one d-dimensional regular simplex of edge length d1 whose every vertex belongs to P . We extend this result by showing that for any k the number of d-dimensional regular simplices of edge length dk ...

متن کامل

Polygonal Approximation of Point Sets

Our domain of interest is polygonal (and polyhedral) approximation of point sets. Neither the order of data points nor the number of needed line segments (surface patches) are known. In particular, point sets can be obtained by laser range scanner mounted on a moving robot or given as edge pixels/voxels in digital images. Polygonal approximation of edge pixels can also be interpreted as groupin...

متن کامل

On the approximation of convex hulls of finite grid point sets

The outer or inner approximation of the convex hull of a grid point set may be used to speed up the feature extraction process in a shape analysis system. Some properties of these approximations are given.

متن کامل

Approximation of Point Sets by 1-Corner Polygonal Chains

S everal problems on approximating geometric objects by polygonal chains have been studied by the computational geometry community due to its relevance to fields such as geographic information systems, pattern recognition and CAD/CAM. Some examples are the papers by Imai and Iri (1986, 1988), Toussaint (1985), Melkman and O’Rourke (1988), Chan and Chin (1996), and O’Rourke (1981). A lot of atte...

متن کامل

Sparse Approximation via Generating Point Sets

For a set P of n points in the unit ball b ⊆ Rd, consider the problem of finding a small subset T ⊆ P such that its convex-hull ε-approximates the convex-hull of the original set. Specifically, the Hausdorff distance between the convex hull of T and the convex hull of P should be at most ε. We present an efficient algorithm to compute such an ε′-approximation of size kalg, where ε′ is a functio...

متن کامل

ذخیره 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: Journal of Approximation Theory

سال: 1977

ISSN: 0021-9045

DOI: 10.1016/0021-9045(77)90066-1