In this paper

experiments and theory analysis were made. The remote sensing images of 6 geographical environment were processed with factor analysis algorithm

the results were stated in table 1. Results introduced the relationship of image factors and the bases of Tasseled Cap space Generally

the first factor vector most similar to SB and second factor vector most similar to GV

as for plain agricultural environments （environment 5 in the table）

inverse re-sults appeared.To analyze the experimental results

we developed a kind of theory to explore these results with physical geographical theory.In first work

the unequivalentity of the response to geographical landscapes of the sensor has been discovered

with using the supposing that ground geographical feature is 2-di-mension zero mean stationary stochastic processes and the effect of IFOV’s convolution integral. It shows that the signal of primary environment landscape factor would been increased and secondary environment landscape factor would relatively been decreased under the observation of the sensor. The gain factor is sinwx sinwy/wxwy

where wx and wy are angular frequency of space

and X

Y are defined as the sweeping direction of the sensor and the moving direction of the sensor

respectively.In second work

a concept of resolution of a environment landscape

was developed dependent on the discovery. A method that equivalent to SVD transformation of image processing has been developed

it would used to process the environment information of remote sensing images.