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Representation of 3D shape is an important property of 3D object retrieval. Representing 3D shape features in a suitable format that includes important geometrical characteristic is not trivial. Existing current feature vector methods represent 3D shape function using a sphere. However, it can not fully characterize the approximation of 3D shape. Generally 3D shapes are irregular in nature. Ellipsoidal approximation gives closure resemblance of a 3D shape. In this paper, we reviewed the current existing approaches of 3D shape retrieval, their limitations and state the current research findings. We also propose a new hypothesis to represent 3D shape function using ellipsoid. Based on this hypothesis, we present a new ellipsoidal based wavelet features that forms the characteristics vector of 3D shapes. Our testing results proof our hypothesis.