This article proposes a new method for the fast and efficient calculation of 3D Tchebichef moments,which are an essential tool for the characterization and analysis of 3D objects. This method integrates the Kronecker tensor product to the computation of 3D Tchebichef moments for higher orders with the advantage of being parallelizable. The experimental results clearly show the benefits and efficacy of the proposed method compared to existing methods. Keywords 3D discrete orthogonal Tchebichef moments • Fast computation • 3D image reconstruction • High-order moments • Kronecker tensor product

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