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A measurement system for reconstructing the volume of freely-moving objects is proposed. Previous systems are not taking into consideration for the objects that are not expected to stop their motion during measurement process, e.g. live insects. Our system can measure such objects. Generally, the accuracy of reconstructed volume is improved by observing the object from as many directions as possible. In our system, the 20 cameras are arranged so that they can observe an object from 4π directions, while the previous systems can only observe from upper viewpoints. Three issues of our system are discussed and evaluated in this paper; the accuracy of volume reconstruction, the spatial resolution and the influence of the object's motion on the resolution. Experimental results show that our system can reconstruct the kinds of freely-moving objects' volume.