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Space filling curves in steganalysis
 Security, Steganography and Watermarking of Multimedia Contents VII (Proc. of SPIE
, 2005
"... We introduce a new method to increase the reliability of current steganalytic techniques by optimising the sample order. Space filling curves (e. g., Hilbert curve) take advantage of the correlation of adjacent pixels and thus make the detection of steganographic messages with low change densities m ..."
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Cited by 5 (1 self)
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We introduce a new method to increase the reliability of current steganalytic techniques by optimising the sample order. Space filling curves (e. g., Hilbert curve) take advantage of the correlation of adjacent pixels and thus make the detection of steganographic messages with low change densities
SPACEFILLING CURVES AND HAUSDORFF DIMENSIONS
"... Abstract. We construct a continuous curve from the interval [0, 1] into the ndimensional cube [0, 1]n in Rn under which the entire cube is filled by the image of a subset of [0, 1] of Hausdorff dimension r, for any positive integer n ≥ 2 and any real number r between 0 and 1. A spacefilling curve ..."
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Abstract. We construct a continuous curve from the interval [0, 1] into the ndimensional cube [0, 1]n in Rn under which the entire cube is filled by the image of a subset of [0, 1] of Hausdorff dimension r, for any positive integer n ≥ 2 and any real number r between 0 and 1. A spacefilling curve
Abstract Spacefilling Curve Generation:
"... We introduce a tablebased specification for spacefilling curves. This specification consists of a primitive curve representation and a movement specification table. We present an algorithm that uses these tables to enumerate points on a spacefilling curve and discuss how to generate such tables au ..."
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We introduce a tablebased specification for spacefilling curves. This specification consists of a primitive curve representation and a movement specification table. We present an algorithm that uses these tables to enumerate points on a spacefilling curve and discuss how to generate such tables
Contextbased Space Filling Curves
, 2000
"... A contextbased scanning technique for images is presented. An image is scanned along a contextbased space filling curve that is computed so as to exploit inherent coherence in the image. The resulting onedimensional representation of the image has improved autocorrelation compared with universa ..."
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spacefilling curve (SFC) is a continuous scan that traverses every pixel of an image exactly once (see Figure 1). SFC's are attractive to many imagespace algorithms which are based on the spatial coherence of nearby pixels. As depicted in Figure 2, an image is scanned using a SFC. The resulting
Tensor product formulation for Hilbert spacefilling curves
 In Proceedings of the 2003 International Conference on Parallel Processing
, 2003
"... We present a tensor product formulation for Hilbert spacefilling curves. Both recursive and iterative formulas are expressed in the paper. We view a Hilbert spacefilling curve as a permutation which maps twodimensional ¥§¦©¨�¥� ¦ data elements stored in the row major or column major order to the ..."
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Cited by 8 (6 self)
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We present a tensor product formulation for Hilbert spacefilling curves. Both recursive and iterative formulas are expressed in the paper. We view a Hilbert spacefilling curve as a permutation which maps twodimensional ¥§¦©¨�¥� ¦ data elements stored in the row major or column major order
Digital Halftoning with Space Filling Curves
"... ABSTRACT This paper introduces a new digital halftoning technique that uses space filling curves to generate aperiodic patterns of clustered dots. This method allows the parameterization of the size of pixel clusters. which can vary in one pixel steps. The algorithm unities, in this way, the dispers ..."
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Cited by 44 (3 self)
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ABSTRACT This paper introduces a new digital halftoning technique that uses space filling curves to generate aperiodic patterns of clustered dots. This method allows the parameterization of the size of pixel clusters. which can vary in one pixel steps. The algorithm unities, in this way
Recursive tilings and spacefilling curves with little fragmentation
 Journal of Computational Geometry
, 2011
"... This paper defines the Arrwwid number of a recursive tiling (or spacefilling curve) as the smallest number a such that any ball Q can be covered by a tiles (or curve sections) with total volume O(volume(Q)). Recursive tilings and spacefilling curves with low Arrwwid numbers can be applied to optim ..."
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Cited by 1 (1 self)
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This paper defines the Arrwwid number of a recursive tiling (or spacefilling curve) as the smallest number a such that any ball Q can be covered by a tiles (or curve sections) with total volume O(volume(Q)). Recursive tilings and spacefilling curves with low Arrwwid numbers can be applied
OVERVIEW OF SPACEFILLING CURVES AND THEIR APPLICATIONS IN SCHEDULING
"... Spacefilling Curves (SFCs) have been extensively used as a mapping from the multidimensional space into the onedimensional space. A spacefilling curve (SFC) maps the multidimensional space into the onedimensional space. Mapping the multidimensional space into onedimensional domain plays an i ..."
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Spacefilling Curves (SFCs) have been extensively used as a mapping from the multidimensional space into the onedimensional space. A spacefilling curve (SFC) maps the multidimensional space into the onedimensional space. Mapping the multidimensional space into onedimensional domain plays
Analysis of the clustering properties of the Hilbert spacefilling curve
 IEEE Transactions on Knowledge and Data Engineering
, 2001
"... AbstractÐSeveral schemes for the linear mapping of a multidimensional space have been proposed for various applications, such as access methods for spatiotemporal databases and image compression. In these applications, one of the most desired properties from such linear mappings is clustering, whic ..."
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Cited by 189 (12 self)
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, which means the locality between objects in the multidimensional space being preserved in the linear space. It is widely believed that the Hilbert spacefilling curve achieves the best clustering [1], [14]. In this paper, we analyze the clustering property of the Hilbert spacefilling curve by deriving
Using Spacefilling Curves for Computation Reordering
"... Spacefilling curves have been widely used in mathematics and to transform multidimensional problems into onedimensional forms. For scientific applications, ordering data or computation along spacefilling curves can be useful for exploiting locality when partitioning onto parallel systems or when ..."
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Spacefilling curves have been widely used in mathematics and to transform multidimensional problems into onedimensional forms. For scientific applications, ordering data or computation along spacefilling curves can be useful for exploiting locality when partitioning onto parallel systems or when
Results 1  10
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