Patent ID: 8908993

Claim:
An image analysis method comprising: acquiring images of spatially different analysis regions, each of the images of the analysis regions being constituted by pixels including a plurality of data acquired simultaneously or time-serially, respectively; and obtaining a cross-correlation between two analysis regions by using data of pixels of the images of the analysis regions, wherein each image of the analysis regions is a two-dimensional image, the two analysis regions, between which the cross-correlation is obtained, comprise an analysis region 1 and an analysis region 2 , and the obtaining the cross-correlation performs correlation calculation by using equation (1) and fitting for the correlation calculation result by using equation (2) to obtain the cross-correlation between the two-dimensional analysis regions: G s ⁡ ( ξ , ψ ) = ∑ I 1 ⁡ ( x , y ) * I 2 ⁡ ( x + ξ , y + ψ ) / M 12 ( ∑ I 1 ⁡ ( x , y ) / M 1 ) ⁢ ( ∑ I 2 ⁡ ( x , y ) / M 2 ) ( 1 ) where G s is a spatial cross-correlation value of RICS, I 1 is data of a pixel of an image of the analysis region 1 , I 2 is data of a pixel of an image of the analysis region 2 , x and y are the spatial coordinates of a measurement point, ξ and ψ are the changes of the spatial coordinates from the measurement point, M 12 is the number of times of sum-of-product calculation of data of the analysis region 1 and the analysis region 2 , M 1 is the total number of data of the analysis region 1 , and M 2 is the total number of data of the analysis region 2 ⁢ G s ⁡ ( ξ , ψ ) = S ⁡ ( ξ , ψ ) * G ⁡ ( ξ , ψ ) ⁢ ⁢ ⁢ S ⁡ ( ξ , ψ ) = exp ⁡ ( - 1 2 * [ ( 2 ⁢ ⁢ ξ ⁢ ⁢ δ r W 0 ) 2 + ( 2 ⁢ ⁢ ψ ⁢ ⁢ δ r W 0 ) 2 ] ( 1 + 4 ⁢ ⁢ D ⁡ ( τ p ⁢ ξ + τ l ⁢ ψ ) W 0 2 ) ) ⁢ ⁢ G ⁡ ( ξ , ψ ) = 1 N ⁢ ( ( 1 + 4 ⁢ ⁢ D ⁡ ( τ p ⁢ ξ + τ l ⁢ ψ ) W 0 2 ) - 1 * ( 1 + 4 ⁢ ⁢ D ⁡ ( τ p ⁢ ξ + τ l ⁢ ψ ) W Z 2 ) - 1 / 2 ) ( 2 ) where Gs is a spatial correlation value of RICS, S is an influence of a scan in RICS analysis, G is an influence of a time delay in RICS analysis, D is a diffusion constant, δ r is a pixel size, N is the number of molecules, ξ and ψ are the changes of spatial coordinates from a measurement point, W 0 is a radius of an excitation laser beam in a lateral direction, W z is a radius of an excitation laser beam in a longitudinal direction, τ p is a pixel time, and τ l is a line time.