A fractal is an object or a structure that is self-similar in all length scales. Fractal geometry is an excellent mathematical tool used in the study of irregular geometric objects. The concept of the fractal dimension, D, as a measure of complexity is defined. The concept of fractal geometry is closely linked to scale invariance, and it provides a framework for the analysis of natural phenomen...

Fractal antennas have undergone dramatic changes since they were first considered for wireless systems. Numerous advancements are developed both in the area of fractal shaped elements and fractal antenna array technology for fractal electrodynamics. This paper makes an attempt of applying the concept of fractal antenna array technology in the RF regime to optical antenna array technology in the...

Fractal property of the knowledge of supply chain is confirmed, and the concept of fractal integration is presented. And the knowledge of supply chain is fractal integrated by building modularization fractal knowledge integration network independent of the organization structure. The process of fractal integration of the knowledge is divided into five stages: acquisition, transition, applicatio...

Fractal approach is successfully implemented in many applications within 2D signal processing. Fractal synthetical concept is applied for image compression with high compression ratios while fractal and multifractal descriptors provide classification of textural images with high occuracy. Various multifractal models are presented in literature. This paper summarizes them and illustrates new mul...

Self-similarity is a concept often associated with fractal geometry. There are many interesting self-similar sets in the plane which would not generally be considered fractal, however (although their boundaries might be fractal). Such sets provide a fresh way of looking at tilings of the plane. Furthermore, a generalization of self-similarity, called digraph self-similarity, provides a way to c...

Fractal property of the knowledge of supply chain is confirmed, and the concept of fractal integration is presented. And the knowledge of supply chain is fractal integrated by building modularization fractal knowledge integration network independent of the organization structure. The process of fractal integration of the knowledge is divided into five stages: acquisition, transition, applicatio...

Fractal structures in nature offer a unique "fractal contact mode" that guarantees the efficient working of an organism with an optimized style. Fractal nanostructured biointerfaces have shown great potential for the ultrasensitive detection of disease-relevant biomarkers from small biomolecules on the nanoscale to cancer cells on the microscale. This review will present the advantages of fract...

Digital surface representation from a set of three-dimensional samples is an important issue of computer graphics that has applications in different areas of study such as engineering, geology, geography, meteorology, medicine, etc. The digital model allows important information to be stored and analyzed without the necessity of working directly with the real surface. In addition, we can integr...