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Reconstructing desired objects and scenes has long been a primary goal in 3D computer vision. Single-view point cloud reconstruction has become a popular technique due to its low cost and accurate results. However, single-view reconstruction methods often rely on expensive CAD models and complex geometric priors. In this paper, we introduce a Hyperbolic-constraint Point Cloud Reconstruction model, which represents and understands the complex hierarchical structures in point clouds with low distortion. To enhance the relationship between partial and complete point clouds, we propose a hyperbolic Chamfer distance and a regularized triplet loss. Additionally, we design adaptive boundary conditions to improve the model's understanding and reconstruction of 3D structures. Our model outperforms most existing models, and ablation studies demonstrate the significance of our model and its components. Experimental results show that our method significantly improves feature extraction capabilities, and demonstrate the superiorities of performance in 3D reconstruction tasks.