Point-cloud registration is fundamental to three-dimensional perception in robotic systems, but conventional approaches struggle when aligning a small, partial source point cloud to a much larger reference. R-SLPR reformulates this scale-mismatched problem as a three-stage sequence of region proposal, regional matching, and iterative refinement. It combines Fibonacci Grid Segmentation, a contrastive-learning objective, and Cascade Anchor Selection and Refinement. Evaluation on ModelNet40 establishes new state-of-the-art accuracy, reducing position and rotation mean absolute error to 0.009 and 1.104, respectively.