This paper introduced some new techniques to extract the palmprint features based on fractal codes and fractal dimension. Four new techniques based on fractal, namely FDFC (fractal dimension from fractal codes), FDIFC (fractal dimension image from fractal code), DIFC (distance image from fractal code), and AIFC (Angle image from fractal code) are proposed.. The main idea of these methods is the...

The geometric analogy problems of the Raven's Progressive Matrices tests of intelligence appear to require many of the information-processing elements that form the basis of computational theories of general creativity: imagistic representations and reasoning; pattern detection and abstraction; analogical mapping, transfer and instantiation, and so on. In our method of addressing the test, an i...

Abstract This paper shares a vision that sustainable water supply requires resilient infrastructures which are presumably in the centralized control and decentralized execution (CCDE) mode with multiscale resilience. The CCDE should be planned based on structure of infrastructures, systems divided into number hierarchically organized subsystems. allows independent all subsystems under normal si...

In this manuscript, multifractal theories of motion based on scale relativity theory are considered in the description atmospheric dynamics. It is shown that these have potential to highlight nondimensional mass conduction laws describe propagation entities. Then, using special operational procedures and harmonic mappings, equations can be rewritten simplified for their plotting analysis perfor...

BACKGROUND AND AIMS Fractal analysis allows calculation of fractal dimension, fractal abundance and lacunarity. Fractal analysis of plant roots has revealed correlations of fractal dimension with age, topology or genotypic variation, while fractal abundance has been associated with root length. Lacunarity is associated with heterogeneity of distribution, and has yet to be utilized in analysis o...

The concept of derivative coordinate functions proved useful in the formulation of analytic fractal functions to represent smooth symmetric binary fractal trees [1]. In this paper we introduce a new geometry that defines the fractal space around these fractal trees. We present the canonical and degenerate form of this fractal space and extend the fractal geometrical space to R explicitly and R ...

Fractal behavior is scale-invariant and widely characterized by fractal dimension. However, the cor-respondence between them is that fractal behavior uniquely determines a fractal dimension while a fractal dimension can be related to many possible fractal behaviors. Therefore, fractal behavior is independent of the fractal generator and its geometries, spatial pattern, and statistical propertie...