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This paper proposes some advanced data acquisition methods for quantitative single photon emission CT. One example of such methods is the odd number angular sampling method over 360 degrees for a widely distributed object, and the other is fine angular sampling of 180 degrees for a nonsymmetrically localized small object in an attenuation cross section. The image quality, such as the spatial resolution and the signal-to-noise ratio, becomes better than that reconstructed from conventional conjugate projection data. The reconstruction technique used in computer simulation is the iterative correction matrix method, but other techniques are also applicable. Comparison between the weighted back projection method and the correction matrix method is also presented.