In this paper, we proposed a new error diffusion filter construction method for digital halftoning with random space-filling curve. A random space-filling curve is introduced to incorporate some randomness for regular space-filling curve such as Peano curve and Hilbert curve. Since the round error is propagated to adjacent pixels whose output values have not been determined, the error diffusion...

Lévy’s dragon curve [P. Lévy, Les courbes planes ou gauches et les surfaces composées de parties semblables au tout, J. Ecole Polytechn., 227-247, 249-291 (1938)] is a well-known self-similar planar curve with non-empty interior. We derive an arithmetic expression for the coordinate functions of Lévy’s dragon curve, and show that the 3 2 -dimensional Hausdorff measure of the graph of each coord...

This paper presents a new and efficient method for video data compression using quadratic Bézier curve fitting. The method treats the luminance or color variations of a spatial location in a sequence of frames as input points in Euclidean space R1 or R3. The input points are approximated using quadratic Bézier least square fitting. The output data consists of quadratic Bézier control points and...

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 more reliable. The findings are applicable, but not limited to LSB steganalysis. An experimental c...

The writhe of a space curve fragment is considered for various boundary conditions. An expression for the writhe as a function of arclength for an arbitrary space curve is obtained. The formula is built on the base of closing the tangent indicatrix with a geodesic. The corresponding closure of a curve in 3-space is explicitly constructed. The addition rule for writhe is formulated. A relationsh...