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We present a perturbative reconstruction method to make a skymap ofgravitational-wave backgrounds (GWBs) observed via space-based interferometer.In the presence of anisotropies in GWBs, the cross-correlated signals ofobserved GWBs are inherently time-dependent due to the non-stationarity of thegravitational-wave detector. Since the cross-correlated signal is obtainedthrough an all-sky integral of primary signals convolving with the antennapattern function of gravitational-wave detectors, the non-stationarity ofcross-correlated signals, together with full knowledge of antenna patternfunctions, can be used to reconstruct an intensity map of the GWBs. Here, wegive two simple methods to reconstruct a skymap of GWBs based on theperturbative expansion in low-frequency regime. The first one is based onharmonic-Fourier representation of data streams and the second is based on"direct" time-series data. The latter method enables us to create a skymap in adirect manner. The reconstruction technique is demonstrated in the case of theGalactic gravitational wave background observed via planned spaceinterferometer, LISA. Although the angular resolution of low-frequency skymapis rather restricted, the methodology presented here would be helpful indiscriminating the GWBs of galactic origins by those of the extragalacticand/or cosmological origins.Comment: 23 pages, 12 figures, Phys.Rev.D (2005) in pres

Probing anisotropies of gravitational-wave backgrounds with a space-based interferometer. II. Perturbative reconstruction of a low-frequency skymap