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A novel regularized combined field integral equation pertinent to the analysis of scattering from 2-D perfect electrically conducting objects is presented. The equation is immune from ill-conditioning due to dense spatial discretizations and appears free from internal resonances. The regularization is achieved via analytical inversion of the hypersingular part of the combined field integral equation, without negative repercussions on computational complexity. Numerical results are presented that show the effectiveness of the proposed formulation.