Two-dimensional analysis of spatial pattern in vegetation for site comparison

1990 ◽  
Vol 68 (1) ◽  
pp. 149-158 ◽  
Author(s):  
M. R. T. Dale

A new method for the analysis of spatial pattern in two dimensions is described. The technique uses data collected in square or rectangular grids of quadrats to examine the scale of pattern in vegetation, no matter how the grids are oriented with respect to the pattern. Its usefulness is demonstrated by application to artificial data. The method is also applied to vegetation classification data derived from LANDSAT TM satellite imagery of a valley in the Yukon, Canada, in which the effects of experimental manipulations on boreal communities are being studied. A set of 2 × 2 km squares of the valley were selected for analysis in which the vegetation composition squares varies considerably. The analysis shows that most of the squares had one and only one scale of two dimensional pattern, consistently in the range of 360–780 m.

2019 ◽  
Vol 8 (3) ◽  
pp. 1537-1543

In formal languages, picture language is generalization of string language theory to two dimensions. Pictures which may be regarded as two-dimensional objects occur in studies concerning recognition of patterns, images and various computational fields. Several studies have been done for generating and/or recognizing higher dimensional objects using formal models. Tile rewriting grammar (TRG) is yet another model introduced for generating picture languages. TRG combines isometric rewriting rules with the Giammaresi and Restivo’s Tiling system. This rewriting grammar generates spirals, square and rectangular grids. The power of generating pictures by tile rewriting grammar is more than REC .Sweety et al have generated hexagonal pictures, introducing hexagonal Tile Rewriting Grammar. Kuberalet al have introduced Triangular Tile Rewriting Grammar to generate Triangular Pictures. A special class of objects namely Oxide pictures have been of interest recently. Oxide network is a special case of Silicate network. The silicates are a complicated class of minerals made up of tetrahedral silicates. A basic silicate tetrahedron unit SiO4 is formed with Oxygen ions in the corners and a Silicate ion in the center. In a two dimensional plane a ring of tetrahedrons that are shared by Oxygen nodes forms a silicate sheet.In this paper, Oxide Tile Rewriting Grammar (OXTRG) is proposed for generating Oxide pictures. The motivation for the study is derived from the Oxide network which is obtained by deleting all the silicon nodes of a silicate network. Closure properties of OXTRG are discussed. When compared with schemes such as Oxide Tiling System and Oxide Sgraffito Automaton, OXTRG is found to be more powerful.


2001 ◽  
Vol 40 (Part 1, No. 1) ◽  
pp. 388-392
Author(s):  
Hiroyuki Fujishiro ◽  
Tatsuya Okamoto ◽  
Manabu Ikebe ◽  
Koichi Hirose

1994 ◽  
Vol 04 (02) ◽  
pp. 251-264 ◽  
Author(s):  
K.T.R. DAVIES

Previously, the monodromy method has been widely used for calculating classical periodic trajectories for a two-dimensional Hamiltonian system, or a four-dimensional phase space. In this paper, the problem is formulated from a different point of view, involving Gaussian-elimination algorithms. Thus, we present a new method for calculating classical periodic orbits, in which each of the basic matrices is of dimension two. Two variants are obtained, one assuming that the period of the motion is fixed and the other assuming that the total energy is fixed. We emphasize the importance of calculating the periodic orbits in as small a dimensionality as possible, an advantage which has implications for generalizations of the theory and methods to outstanding many-body problems in nuclear and atomic physics. Comparisons are made between various approaches.


2014 ◽  
Vol 989-994 ◽  
pp. 3755-3758
Author(s):  
Shu Hong Jiao ◽  
Lin Tang ◽  
Xue Liu ◽  
Huan Qi

A radar compressed sensing imaging method with 2-D separable sampling is proposed in this paper. Instead of converting the radar imaging problem into two 1-D compressed sensing problem, we use the 2-D Separable Projections to solve it directly. Unlike the 2-D separable sampling in visible imaging, the range and azimuth which are the two dimensions of the radar imaging couple with each other. This Coupling increases the storage and computation in radar compressed imaging, therefore some de-coupling processing using in Range Doppler algorithm are adopted in the proposed method to construct the 2-D separable sampling data. Accordingly the two dimensional scene has been reconstructed with the proposed 2-D compressed sensing algorithms. Compared with conventional compressed sensing imaging methods, the new method has reduced the memory usage and complexity with imaging performance improvement.


Author(s):  
Kirill Fayn ◽  
Steven Willemsen ◽  
R. Muralikrishnan ◽  
Bilquis Castaño Manias ◽  
Winfried Menninghaus ◽  
...  

AbstractResearch on fine-grained dynamic psychological processes has increasingly come to rely on continuous self-report measures. Recent studies have extended continuous self-report methods to simultaneously collecting ratings on two dimensions of an experience. For all the variety of approaches, several limitations are inherent to most of them. First, current methods are primarily suited for bipolar, as opposed to unipolar, constructs. Second, respondents report on two dimensions using one hand, which may produce method driven error, including spurious relationships between the two dimensions. Third, two-dimensional reports have primarily been validated for consistency between reporters, rather than the predictive validity of idiosyncratic responses. In a series of tasks, the study reported here addressed these limitations by comparing a previously used method to a newly developed two-handed method, and by explicitly testing the validity of continuous two-dimensional responses. Results show that our new method is easier to use, faster, more accurate, with reduced method-driven dependence between the two dimensions, and preferred by participants. The validity of two-dimensional responding was also demonstrated in comparison to one-dimensional reporting, and in relation to post hoc ratings. Together, these findings suggest that our two-handed method for two-dimensional continuous ratings is a powerful and reliable tool for future research.


Author(s):  
Yoshihiro KATO ◽  
Akito INABA ◽  
Manabu SHIMIZU ◽  
Ayako SAWADA ◽  
Hiroshi KATO ◽  
...  

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