Due to the advances of image system, most researches are developed on high-resolution system. However, the low-resolution system have an advantage over the high-resolution system on processing speed, saving space and power consumption. From the research of hexagonal grid, we know that from the view of microcosmic, the angle resolution and connection of hexagonal grid are better than rectangular grid, so images on hexagonal grid also have the better quality. Almost input and output systems of image device are on rectangular grid, so its technology and theory are developed on rectangular grid system. For a displaying system, fonts and images are the main elements. If we want to substitute hexagonal grid system for rectangular grid system, they will be primary factories that we consider. In this research based on rectangular grid system, we will apply the plane parametric curves and fill algorithm on hexagonal grid system, and probe into the displaying method of fonts and images on hexagonal grid system.

In this paper, hexagonal grid is extended to hierarchical structure. This technique can be applied to collision detection. By using concept of node, we develop an effectually linear decode called ¡§HCD¡¨. To develop to three dimensions, the structure of octahedron is applied to develop hexagonal hierarchical structure in three dimensions. This is helpful to simulate objects and approximate objects. The object¡¦s data is commonly deposited in float. In this paper, Symmetrical Hexagonal Frame makes whole object to be deposited in integer. So the data of object can be compressed to smaller size. Otherwise, by concept of k-dops, we can close to object¡¦s real surfaces with hierarchical hexagonal structures at low level.

This study focuses on hexagonally sampled images and grayscale morphology. We combine hexagonal image processing and grayscale morphology to develop hexagonal grayscale morphology, and propose an algorithm to detect and enhance edges. Hexagonal image processing consists of three important steps: conversion of hexagonally sampled images, processing, and display of processed images on simulated hexagonal grid. We construct four different sizes of hexagonal structuring elements to apply morphological operations on hexagonal images. In this study, we applied morphological gradient for edge detection and proposed algorithm for edge enhancement. Moreover, we developed six different shapes of structuring elements to find an optimum one. Finally, we assessed two methods to compare our results, and identified the best result and optimum structuring element. We expect that proposed algorithm will offer a useful tool of image processing on hexagonally sampled images.

Sample grid s are essential when we want to represent the variation in chemical and physical properties of the soil, being essential to know its features. In this way, this study aimed to relate the efficiency and practicality of using soil sampling knits of rectangular and hexagonal type in a farm located countryside Ivorá- RS. In order to get features that help the researcher and producer in choosing the appropriate mesh to represent and diagnose their crops by means of fertility maps and application. The methodological procedures consisted of structuring the rectangular and hexagonal sampling knits of 1 ha in the CR Campeiro 7, without user interference in the point s distribution. Soil samples were collected in June 2015. So, after analysis of the spatial distribution of points in the area for each of the cases the fertility maps and application were structured. Among the main results, it is noted that both knits can represent similarly the trends that the soil presents nevertheless, the rectangular grid, due to a higher number of points, can represent the variability more expressively, but was found that when there is a change in the position and number of sampling points in a crop, the representations of the maps have differences, which at first, analyzing only the fertility maps, these differences seem small, but when structured a map of application, this difference becomes significant as it will result in greater or lesser purchase of inputs. It is emphasized that each mesh has characteristics that will inevitably vary from crop to crop, and a sampling grid should be, always, planned and adjusted according to each case, combining the knowledge of the producer and additional data available to define the same. / As malhas de amostragem são fundamentais quando desejamos representar a variação de atributos químicos e físicos do solo, sendo imprescindível conhecer suas características. Desta forma, este trabalho teve como objetivo relacionar a eficiência e a praticidade da utilização das malhas de amostragem de solo do tipo retangular e hexagonal, em uma lavoura localizada no município de Ivorá- RS. Com o propósito de buscar características que auxiliem o pesquisador e o produtor na escolha da malha adequada para representar e diagnosticar suas lavouras, através de mapas de fertilidade e de aplicação. Os procedimentos metodológicos consistiram em estruturar as malhas de amostragem retangular e hexagonal de 1 ha no Sistema CR Campeiro 7, sem a interferência do usuário na distribuição dos pontos. As respectivas coletas de solo ocorreram no mês de junho de 2015. Assim, após a análise da distribuição espacial dos pontos na área para cada um dos casos e estruturados os mapas de fertilidade e aplicação. Entre os principais resultados encontrados, salienta-se que ambas as malhas conseguem representar de forma similar as tendências que o solo apresenta, no entanto, a malha retangular, por apresentar maior número de pontos, consegue representar a variabilidade de forma mais expressiva, mas nota-se que quando há uma alteração na posição e no número de pontos amostrais em uma lavoura, as representações dos mapas apresentam diferenças, que num primeiro momento, analisando somente os mapas de fertilidade, essas diferenças parecem ser pequenas, mas quando estruturado um mapa de aplicação, essa diferença passa a ser significativa, pois resultará em maior ou menor aquisição de insumos. Salienta-se que cada malha apresenta características que, inevitavelmente, variam de lavoura para lavoura, e uma malha de amostragem deve ser, sempre, planejada e ajustada conforme cada caso, aliando o conhecimento do produtor e dados adicionais disponíveis para definição da mesma.