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CLASSES OF ANALYTIC FUNCTIONS AND APPLICATIONS
"... Abstract. In this paper we introduce new classes of analytic functions and for the functions from these classes is studied the convexity of an integral operator. ..."
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Abstract. In this paper we introduce new classes of analytic functions and for the functions from these classes is studied the convexity of an integral operator.
Zeros of Gaussian analytic functions
"... Throughout this note we shall use the following notation. Let G ⊆ C1 be a plane domain and {ψj(z)} N j=1 be a system of N ≤ ∞ analytic functions in G. By Ψ(z) we denote the holomorphic curve in the euclidean space CN with ..."
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Cited by 33 (4 self)
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Throughout this note we shall use the following notation. Let G ⊆ C1 be a plane domain and {ψj(z)} N j=1 be a system of N ≤ ∞ analytic functions in G. By Ψ(z) we denote the holomorphic curve in the euclidean space CN with
Performance Analysis of the IEEE 802.11 Distributed Coordination Function
, 2000
"... Recently, the IEEE has standardized the 802.11 protocol for Wireless Local Area Networks. The primary medium access control (MAC) technique of 802.11 is called distributed coordination function (DCF). DCF is a carrier sense multiple access with collision avoidance (CSMA/CA) scheme with binary slott ..."
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Cited by 1869 (1 self)
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Recently, the IEEE has standardized the 802.11 protocol for Wireless Local Area Networks. The primary medium access control (MAC) technique of 802.11 is called distributed coordination function (DCF). DCF is a carrier sense multiple access with collision avoidance (CSMA/CA) scheme with binary
Reconstruction and Representation of 3D Objects with Radial Basis Functions
 Computer Graphics (SIGGRAPH ’01 Conf. Proc.), pages 67–76. ACM SIGGRAPH
, 2001
"... We use polyharmonic Radial Basis Functions (RBFs) to reconstruct smooth, manifold surfaces from pointcloud data and to repair incomplete meshes. An object's surface is defined implicitly as the zero set of an RBF fitted to the given surface data. Fast methods for fitting and evaluating RBFs al ..."
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Cited by 505 (1 self)
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noninterpolating approximation when the data is noisy. The functional representation is in effect a solid model, which means that gradients and surface normals can be determined analytically. This helps generate uniform meshes and we show that the RBF representation has advantages for mesh
INTEGRAL MEANS OF ANALYTIC FUNCTIONS
 ANNALES ACADEMIAE SCIENTIARUM FENNICAE, VOLUMEN 29, 2004, 459469
, 2004
"... If 0 < p < 1 and f is an analytic function in the unit disc = fz 2 C: jzj < 1g, we set, as usual, Mp(r; f) = 1 ..."
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Cited by 7 (2 self)
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If 0 < p < 1 and f is an analytic function in the unit disc = fz 2 C: jzj < 1g, we set, as usual, Mp(r; f) = 1
Effective Analytic Functions
, 2003
"... ... In this paper, we propose a first definition for the notion of an effective analytic function and we show how to effectively solve several types of differential equations in this context. We will limit ourselves to functions in one variable ..."
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Cited by 2 (0 self)
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... In this paper, we propose a first definition for the notion of an effective analytic function and we show how to effectively solve several types of differential equations in this context. We will limit ourselves to functions in one variable
Singular Combinatorics
 ICM 2002 VOL. III 13
, 2002
"... Combinatorial enumeration leads to counting generating functions presenting a wide variety of analytic types. Properties of generating functions at singularities encode valuable information regarding asymptotic counting and limit probability distributions present in large random structures. " ..."
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Cited by 800 (10 self)
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Combinatorial enumeration leads to counting generating functions presenting a wide variety of analytic types. Properties of generating functions at singularities encode valuable information regarding asymptotic counting and limit probability distributions present in large random structures
Distributed Ray Tracing
, 1984
"... Ray tracing is one of the most elegant techniques in computer graphics. Many phenomena that are difficult or impossible with other techniques are simple with ray tracing, including shadows, reflections, and refracted light. Ray directions, however, have been determined precisely, and this has limite ..."
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Cited by 468 (6 self)
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limited the capabilities of ray tracing. By distributing the directions of the rays according to the analytic function they sample, ray tracing can incorporate fuzzy phenomena. This provides correct and easy solutions to some previously unsolved or partially solved problems, including motion blur, depth
The Design and Use of Steerable Filters
 IEEE Transactions on Pattern Analysis and Machine Intelligence
, 1991
"... Oriented filters are useful in many early vision and image processing tasks. One often needs to apply the same filter, rotated to different angles under adaptive control, or wishes to calculate the filter response at various orientations. We present an efficient architecture to synthesize filters of ..."
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Cited by 1089 (11 self)
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of arbitrary orientations from linear combinations of basis filters, allowing one to adaptively "steer" a filter to any orientation, and to determine analytically the filter output as a function of orientation.
Results 1  10
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