The enhancement and detection of elongated structures in noisy image data is relevant for many biomedical applications. To handle complex crossing structures in 2D images, 2D orientation scores U : R × S → R were introduced, which already showed their use in a variety of applications. Here we extend this work to 3D orientation scores U : R × S → R. First, we construct the orientation score from...

Combined use of the X-ray (Radon) transform and the wavelet transform has proved to be useful in application areas such as diagnostic medicine and seismology. In the present paper, the wavelet X-ray transform is introduced. This transform performs one-dimensional wavelet transforms along lines in R n , which are parameterized in the same fashion as for the X-ray transform. It is shown that the ...

Extended Abstract. Forecasting is one of the most important purposes of time series analysis. For many years, classical methods were used for this aim. But these methods do not give good performance results for real time series due to non-linearity and non-stationarity of these data sets. On one hand, most of real world time series data display a time-varying second order structure. On th...

Two types of coders dominate the field of video compression research today: well-established hybrid coders, that are in the core of all MPEG and H.26X standards, and emerging three-dimensional (3D) subband coders, largely inspired by the success of wavelet-based still image compression. However, there are surprisingly few results reported on 3D transform coding based on the discrete cosine tran...

variation of frequency and voltage by load changes in a microgrid is a challenge in droop control method. centralized restoration frequency or voltage in a microgrid requires communication link and therefore affects the advantage of decentralized droop control such as reliability, simplicity and inexpensiveness. this paper proposes a decentralized method that restores the frequency of a microgr...

Image fusion is defi ned as the process of combining two or more different images into a new single image retaining important features from each image with extended information content. There are two approaches to image fusion, namely spatial fusion and transform fusion and three levels namely pixel, feature and region level. In spatial fusion, the pixel values from the source images are direct...