In many practical applications, it turns out to be useful to use the notion of fuzzy transform: once we have functions A1(x) ≥ 0, . . . , An ≥ 0, with n ∑ i=1 Ai(x) = 1, we can then represent each function f(x) by the coefficients Fi = ∫ f(x) ·Ai(x) dx ∫ Ai(x) dx . Once we know the coefficients Fi, we can (approximately) reconstruct the original function f(x) as n ∑ i=1 Fi · Ai(x). The original...

A relationship between the discrete F-transform and aggregation functions is analyzed. We show that the discrete F-transform (direct or inverse) can be associated with a set of linear aggregation functions that respect a fuzzy partition of a universe. On the other side, we discover conditions that should be added to a set of linear aggregation functions in order to obtain the discrete F-transfo...

The digital revolution has resulted in explosion of knowledge. It has encouraged and motivated digitization of the intellectual artefact. This creates issues of piracy and copyright. In this paper, the authors propose a novel logo based watermarking scheme for image copyright protection using fuzzy inference system (FIS), discrete wavelet transform (DWT) and human visual system (HVS). Wavelet t...

In this paper we present a method based on the fuzzy Hough transform to locate the iliac crests in posteroanterior radiographs. Firstly, a Canny edge detector is applied to the X-ray images in order to obtain an edge map. Then, the fuzzy Hough transform is used in combination with several constraints extracted from our domain knowledge. At the bottom of the radiograph we search for two circular...

0957-4174/$ see front matter 2013 Elsevier Ltd. All rights reserved. http://dx.doi.org/10.1016/j.eswa.2013.12.027 ⇑ Corresponding author. Tel.: +91 416 2202364; fax: +91 416 2243092. E-mail addresses: [email protected] (M. Monica Subashini), sksahoo@ vit.ac.in (S.K. Sahoo). 1 Tel.: +91 416 2202467; fax: +91 416 2243092. 2 Abbreviations used: PCNN, pulse coupled neural networks; ICM, i...

Development of digital content has increased the necessity of copyright protection by means of watermarking. Imperceptibility and robustness are two important features of watermarking algorithms. The goal of watermarking methods is to satisfy the tradeoff between these two contradicting characteristics. Recently watermarking methods in transform domains have displayed favorable results. In this...

Foreword The intention of this report is to list and analyze some of the published results related to different approaches of applying fuzzy set theory to fuzzy shape analysis. These results provide a good background for further development of fuzzy shape analysis methods, which is our main goal. It should be noted that only fuzzy shape analysis techniques are considered, and not other approach...