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To reduce the complexity of searching for wedge-based geometry partitions in video coding, we propose a texture-difference based partition line selection approach with a skipping strategy. Applying this approach can reduce the encoding time by 90% while retaining the similar rate-distortion performance to that of exhaustive searching. We also propose a background-compensated prediction scheme to improve the rate-distortion performance of the geometry partitioning prediction by reducing its motion vector overhead. Incorporating our proposed approach into object-boundary-based geometry partitioning can achieve about 10% bit-rate savings relative to the full-search approach while keeping the complexity at about the same level as our proposed complexity-reduced wedge-based geometry partitioning.