1. An apparatus for reconfiguring a positron emission tomography (PET) image using a cone-beam based line-of-response (LOR) reconfiguration, the apparatus comprising: a blur modeling unit configured to model a blur by generating a point spread function (PSF) kernel corresponding to each location of a PET system; an LOR acquirer configured to acquire an LOR and a sinogram corresponding to each location by wobbling the PET system; a cone-beam sinogram converter configured to convert, to a sinogram format in a cone-beam shape, an LOR-based sinogram acquired by the LOR acquirer; a sinogram modeling unit configured to model the sinogram format-converted to the cone-beam shape by the cone-beam sinogram converter; and a high-resolution image inducer configured to induce a high-resolution image using the sinogram modeled by the sinogram modeling unit.