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

OPTIMIZATION OF THE PARAMETERS OF THE MOBILE ROBOT WITH GAS GENERATOR OF ENERGY

The article describes a fundamentally new design of a mobile robot with a gas energy storage and a mathematical model for optimizing its parameters. The optimization criteria for the design and technological parameters t...

ASR POWER PERFORMANCE OF NPP NPV WITH WWER-1000 UNDER STORAGE OF THE SECOND TEMPERATURE OF THE FIRST CONTROL PERMANENT

The power units of the WWER-1000 reactors, which are operated at four nuclear power plants, are the most powerful in Ukraine. Due to the fact that there is a significant discrepancy between the generation and consumption...

REVIEW OF CURRENT ROBOTIZED TECHNOLOGIES OF MASONRY

Mechanization and automation of construction works are one of key factors of constructional process productivity improvement. It enables to minimize human factor influence, improve labor conditions on the building site a...

ADAPTIVE METHOD OF RECOGNITION FOR A DYNAMIC ALPHANUMERIC SERIES

The scientific article is analyzed for relevance and methods of recognition for dynamic alphanumeric series. A modification was proposed for the method of conditional random fields with hidden conditions. It allows incre...

INVESTIGATION OF THE EFFECT OF ECO MODES ON THE MICROFLOOR OF SOCOPLASTIC MIXTURE

An important indicator of microbiological safety, quality, and the level of sanitary-and-hygienic conditions of food production is microflora. When the titre is exceeded, microorganisms can cause damage to the finished p...

Download PDF file
  • EP ID EP577388
  • DOI -
  • Views 85
  • 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