Joint Heterogeneous Feature Learning and Distribution Alignment for 2D Image-Based 3D Object Retrieval

2D image-based 3D object retrieval is a novel but challenging task for 3D object retrieval. In this paper, we propose a 2D image-based 3D object retrieval method via joint heterogeneous feature learning and distribution alignment. Specifically, we propose to learn a mapping function in the Grassmann manifold to reduce the divergence of heterogeneous features of 2D images and 3D objects. We further employ the data distribution alignment method to adaptively integrate both marginal and conditional distributions. We embed both terms into the objective function to learn a domain-invariant classifier based on structural risk minimization. The output domain-invariant features of 2D images and 3D objects can be utilized for 2D image-based 3D object retrieval. Since there is lack of large-scale dataset for the evaluation of this task, we build two new datasets, MI3DOR and MI3DOR-2. We compare the proposed method against the representative methods for domain adaption and explore the influence of different components of the objective functions and key parameter. Comparison experiments show the superiority of this method.