This paper investigates an approach to begin the study of fractals in architectural design. Vector-based fractals are studied to determine if the modification of vector direction in either the generator or the initiator will develop alternate fractal forms. The Koch Snowflake is used as the demonstrating fractal. Introduction A fractal is an object or quantity that displays self-similarity on a...

Heat transfer by electromagnetic radiation is one of the common methods of energy transfer between objects. Using the fluctuation-dissipation theorem, we have studied the effect of particle arrangement in the transmission of radiative heat in many-body systems. In order to show the effect of the structure morphology on the collective properties, the radiative heat transfer is studied and the re...

This thesis describes a novel method for approximating digital images and similar data. The work is based on deterministic fractal geometry, which for some time has promised to provide new data compression techniques which may challenge existing industrial standards. However, few robust algorithms for fractal compression have hitherto been published. The present work provides enabling technique...

background & objectives: cancer is a serious problem for human being and is becoming a serious problem day-by-day .a prerequisite for any therapeutic modality is early diagnosis. automated cancer diagnosis by automatic image feature extraction procedures can be used as a feature extraction in the field of fractal dimension. the aim of this survey was to introduce a quantitative and objectiv...

Let a be a positive real number, a < 1/2. A standard construction of a self-similar Cantor set in the plane starts with the unit square [0, 1]× [0, 1], replaces it with the four corner squares with sidelength a, then replaces each of those squares with their four corner squares of sidelength a, and so on. At the nth stage one has 4 squares with sidelength a, and the resulting Cantor set has Hau...

Bearing manufacturing requires strict adherence to the technological standards and quality control of products at all stages processing. One most accurate environmentally friendly monitoring methods in bearing production is eddy current method. When using this method, a large array numerical data generated that reflects information on physical mechanical conditions surface. Thus, defect detecti...

This paper presents a quantitative modeling for delineating alteration zones in the hypogene zone of the Miduk porphyry copper deposit (SE Iran) based on the core drilling data. The main goal of this work was to apply the Ordinary Kriging (OK), Artificial Neural Networks (ANNs), and Concentration-Volume (C-V) fractal modelings on Cu grades to separate different alteration zones. Anisotropy was ...