Li Liu

Work place: Department of Mathematics, Shantou University Shantou, Guangdong, 515063, China



Research Interests: Information Security, Information Systems, Information Retrieval, Information-Theoretic Security


Li Liu is a graduate student at department of mathematics in Shantou University, His research field is chaotic dynamical system and its application in information security.

Author Articles
An Iterated Function System based Method to Generate Hilbert-type Space-filling Curves

By Ruisong Ye Li Liu

DOI:, Pub. Date: 8 Nov. 2015

Iterated function system has been found to be an important method to generate fractal sets. Hilbert space-filling curve is one kind of fractal sets which has been applied widely in digital image processing, such as image encoding, image clustering, image encryption, image storing/retrieving, and pattern recognition. In this paper, we will explore the generation of Hilbert-type space-filling curves via iterated function system based approach systematically. Cooperating a recursive calling of the common Hilbert's original space-filling curve at resolution n-1 and an IFS consisting of four affine transformations, one can generate the vertices for Hilbert-type space-filling curves at any resolution n. The merit is that the recursive algorithm is easy to implement and can be generalized to produce any other Hilbert-type space-filling curves and their variation versions.

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