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We explore the utility of Karhunen Loeve (KL) analysis in solving practicalproblems in the analysis of gravitational shear surveys. Shear catalogs fromlarge-field weak lensing surveys will be subject to many systematiclimitations, notably incomplete coverage and pixel-level masking due toforeground sources. We develop a method to use two dimensional KL eigenmodes ofshear to interpolate noisy shear measurements across masked regions. We explorethe results of this method with simulated shear catalogs, using statistics ofhigh-convergence regions in the resulting map. We find that the KL procedurenot only minimizes the bias due to masked regions in the field, it also reducesspurious peak counts from shape noise by a factor of ~ 3 in the cosmologicallysensitive regime. This indicates that KL reconstructions of masked shear arenot only useful for creating robust convergence maps from masked shearcatalogs, but also offer promise of improved parameter constraints withinstudies of shear peak statistics.

Interpolating Masked Weak Lensing Signal with Karhunen-Loeve Analysis