Suboptimal minimum cluster volume cover-based method for measuring fractal dimension
نویسندگان
چکیده
منابع مشابه
Suboptimal Minimum Cluster Volume Cover-Based Method for Measuring Fractal Dimension
A new method for calculating fractal dimension is developed in this paper. The method is based on the box dimension concept; however, it involves direct estimation of a suboptimal covering of the data set of interest. By finding a suboptimal cover, this method is better able to estimate the required number of covering elements for a given cover size than is the standard box counting algorithm. ...
متن کاملModel Based Method for Determining the Minimum Embedding Dimension from Solar Activity Chaotic Time Series
Predicting future behavior of chaotic time series system is a challenging area in the literature of nonlinear systems. The prediction's accuracy of chaotic time series is extremely dependent on the model and the learning algorithm. On the other hand the cyclic solar activity as one of the natural chaotic systems has significant effects on earth, climate, satellites and space missions. Several m...
متن کاملFractal Dimension - Measuring Complexity and Scaling
In the case of fractals and similarly complex objects, quantities such as length, area and volume may be infinite, or rather undefined. Hence it is necessary to consider other notions of measurement when comparing fractals. This report aims to motivate such a measure and show that it contains many of the intuitive properties of dimension. Furthermore, some methods for measuring this ‘fractal di...
متن کاملTexture analysis using volume-radius fractal dimension
Texture plays an important role in computer vision. It is one of the most important visual attributes used in image analysis, once it provides information about pixel organization at different regions of the image. This paper presents a novel approach for texture characterization, based on complexity analysis. The proposed approach expands the idea of the Mass-radius fractal dimension, a method...
متن کاملAn Adaptive Segmentation Method Using Fractal Dimension and Wavelet Transform
In analyzing a signal, especially a non-stationary signal, it is often necessary the desired signal to be segmented into small epochs. Segmentation can be performed by splitting the signal at time instances where signal amplitude or frequency change. In this paper, the signal is initially decomposed into signals with different frequency bands using wavelet transform. Then, fractal dimension of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Pattern Analysis and Machine Intelligence
سال: 2003
ISSN: 0162-8828
DOI: 10.1109/tpami.2003.1159944