s of MMA2015, May 26–29, 2015, Sigulda, Latvia c © 2015 ON HIGHER DEGREE F-TRANSFORMS BASED ON B-SPLINES MARTINS KOKAINIS and SVETLANA ASMUSS 1 Department of Mathematics, University of Latvia Zeļļu iela 8, R̄ıga, LV-1002, Latvia 2 Institute of Mathematics and Computer Science, University of Latvia Raiņa bulvāris 29, R̄ıga, LV-1459, Latvia E-mail: [email protected], [email protected] The ...

F(φ(t)) = Φ(f) = ∫ ∞ −∞ f(t)e−2πiftdt F−1(Φ(f)) = φ(t) = ∫ ∞ −∞ Φ(f)edf The notation φ(t) ⊃ Φ(f) is also used to indicate that Φ(f) is the Fourier transform of φ(t). Another common notational convention is that capital letters are used for the names of functions in the frequency domain, and corresponding lower case letters are used for functions in the time domain. In this notation, s is often ...

The theory of fuzzy transform (F-transform, for short) has been developed extensively in recent years. Based on the current successes of F-transform, we expect that in the future, F-transform will become as successful and as widely used as the well-known transforms such as Laplace, Fourier, and wavelet transforms. The most successful applications of F-transform are in the fields of image proces...

The aim of this contribution is to show how the Ftransform technique can be generalized from the case of constant components to the case of polynomial components. For this purpose, we choose complete functional spaces with inner products. After a general presentation of Fm-transform where m ≥ 0, a detailed characterization of the F -transform is given. We applied a technique of numeric integrat...

Fractal dimension spectra have been used to characterize the complexity of dynamical time series since the 1980s. Calculation of these spectra are traditionally based on fixed-size methods that are grid-based, such as the histogram technique, or sample-based, such as the correlation-integral method. This paper extends the Chhabra and Jensen direct approach on histogrambinned data by deriving th...

When it comes to compiler design, there has been a dispute as to whether it is useful to transform the source code using the continuation passing style (CPS) transform first. Some have observed that it is easier to optimize CPS transformed code, while others maintain that direct style compilation is better. Sabry and Felleisen resolve the dispute by showing how get the benefits of CPS without t...

In this paper, the application of the fuzzy transforms of the zero degree (F -transform) and of the first degree (F -transform) to the image registration is demonstrated. The main idea is to use only one technique (F-transform generally) to solve various tasks of the image registration. The F -transform is used for an extraction of feature points in edge detection step. The correspondence betwe...