CONSTRUCTION OF 3D HAAR WAVELETS FOR ANALYSIS OF DISCRETE MODELS OF SPACE SHAPES

Abstract

An approach to construction of wavelets of arbitrary dimension is considered and its geometric interpretation for 1D, 2D and 3D cases is proposed. The geometric forms of scaling function and wavelets of Haar transformation for 1D, 2D and 3D cases are presented. Analytical expressions for 3D Haar wavelets with arbitrary shift and scale parameters are obtained.

Authors and Affiliations

О. В. Реута, Хабраман Хаді

Keywords

Related Articles

RESEARCH OF THE CASCADE AUTOMATIC CONTROL SYSTEM OF THE NUCLEAR POWER PLANT POWER

In accordance with the energy strategy of the Cabinet of Ministers of Ukraine, the power units of nuclear power plants must be converted to a maneuverable regime. However, the systems used for automatic control of reacto...

THE ANALYSIS OF FORCED-AIR AND EXHAUST INSTALLATIONS WITH HEAT RECUPERATING

The problem of energy saving concerns, in particular, the agro-industrial complex, where a significant share of energy resources is spent on power supply, heating of heat carriers for various technological needs, lightin...

PLANNING MEASURES ON MODERNIZATION OF INDUSTRIAL OBJECTS IN RECONSTRUCTION OF URBAN DEVELOPMENT

The purpose is analysis of the prospects of development of industrial and municipal-warehousing areas with the definition of optimal use. The analysis of the existing use of industrial areas on the basis of statistical d...

ANALYSIS OF THE DEGREE OF WASTEWATER TREATMENT FROM PETROLEUM PRODUCTS BY ELECTROFLOTATION

The conditions for purification of water from petroleum products in an electroflotational installation are determined. The dependence of the degree of purification on the anode material, the transmission rate and the pH...

REMOVAL OF AMMONIUM IONS FROM WATER BY ELECTROLYSIS

In this work the processes of electrochemical oxidation of ammonium ions in a two-chamber electrolyzer are investigated. An estimation of efficiency of the process, depending on the composition of the initial solution an...

Download PDF file
  • EP ID EP577388
  • DOI -
  • Views 83
  • Downloads 0

How To Cite

О. В. Реута, Хабраман Хаді (2018). CONSTRUCTION OF 3D HAAR WAVELETS FOR ANALYSIS OF DISCRETE MODELS OF SPACE SHAPES. Вчені записки Таврійського національного університету імені В. І. Вернадського. Серія: Технічні науки, 29(2), 14-18. https://europub.co.uk/articles/-A-577388