Fractal Image Coding: Some Mathematical Remarks on Its Limits and Its Prospects

1998 ◽  
pp. 117-131 ◽  
Author(s):  
F. M. Dekking
Keyword(s):  
Image Coding ◽  
Fractal Image ◽  
Fractal Image Coding

SECURE FRACTAL IMAGE CODING BASED ON FRACTAL PARAMETER ENCRYPTION

Fractals ◽  
2009 ◽  
Vol 17 (02) ◽  
pp. 149-160 ◽  
Author(s):  
SHIGUO LIAN ◽  
XI CHEN ◽  
DENGPAN YE
Keyword(s):  
Image Coding ◽  
Parameter Distribution ◽  
Self Similarity ◽  
Image Encoding ◽  
Coding Scheme ◽  
Fractal Image ◽  
Fractal Image Coding ◽  
Fractal Parameters ◽  
Fractal Encoding ◽  
Computational Resources

In recent work, various fractal image coding methods are reported, which adopt the self-similarity of images to compress the size of images. However, till now, no solutions for the security of fractal encoded images have been provided. In this paper, a secure fractal image coding scheme is proposed and evaluated, which encrypts some of the fractal parameters during fractal encoding, and thus, produces the encrypted and encoded image. The encrypted image can only be recovered by the correct key. To maintain security and efficiency, only the suitable parameters are selected and encrypted through investigating the properties of various fractal parameters, including parameter space, parameter distribution and parameter sensitivity. The encryption process does not change the file format, keeps secure in perception, and costs little time or computational resources. These properties make it suitable for secure image encoding or transmission.

Chaos-based encryption for fractal image coding

2012 ◽  
Vol 21 (1) ◽  
pp. 010502 ◽  
Author(s):  
Ching-Hung Yuen ◽  
Kwok-Wo Wong
Keyword(s):  
Image Coding ◽  
Fractal Image ◽  
Fractal Image Coding

An inequality for pairs of martingales and its application to fractal image coding

1996 ◽  
Vol 33 (04) ◽  
pp. 968-973
Author(s):  
F. M. Dekking
Keyword(s):  
Image Coding ◽  
Image Data ◽  
Monotonicity Property ◽  
Fractal Image ◽  
Fractal Image Coding

We prove a monotonicity property for a function of general square integrable pairs of martingales which is useful in fractal-based algorithms for compression of image data.

The effectiveness of image features based on fractal image coding for image annotation

2012 ◽  
Vol 39 (17) ◽  
pp. 12897-12904 ◽  
Author(s):  
Cho-Wei Shih ◽  
Hui-Chuan Chu ◽  
Yuh-Min Chen ◽  
Chuin-Cheng Wen
Keyword(s):  
Image Coding ◽  
Image Annotation ◽  
Image Features ◽  
Fractal Image ◽  
Fractal Image Coding
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