高级检索

基于极限投影变换的3D模型检索

3D Model Retrieval Based on Terminal Projection Transformation

  • 摘要: 基于认知理论和投影理论,提出极限投影面积方法对三维模型进行坐标标准化:将模型不断绕过模型重心的基向量旋转,采集每次坐标面投影面积,在多次迭代后得到最大面积投影,用同样办法获得另一坐标面上的最小面积投影,建立模型的坐标系.实验结果表明:该方法标准化的坐标系处理对象范围宽,适用于网格模型、点云模型和各类曲面模型,针对模型噪声、简化、攻击等有很强的鲁棒性.经该方法标准化的三维模型在3个坐标面的投影作为模型的特征描述子,并在实验中为实验模型库建立了对应的特征描述子库,使得对模型检索转化为特征描述子间的比较检索.检索实验表明:该方法针对增加了特征描述子的模型库具有较快的检索速度;同时具有较强的鲁棒性,但检索的精度稍差.

     

    Abstract: Based on the related theories of projection and cognition,this paper introduces a way to standardize the coordinates of a 3D model.During the continuous rotation of the 3D model around a vector passing through its center,the direction along which the model has the maximum projection area,can be found and defined as the Z-axis.Then by rotating the 3D model around the Z-axis,one of its orthogonal directions along which the model has its minimum projection area,is defined as the Y-axis.In this way,we can define a standardized coordinate system of the model,which is not only invariant to the object location and orientation but also robust to noise,model simplification and attacks.Our method is applicable to a wide range of objects,such as mesh models,cloud points models and other surface models.The projections of the 3D model on the three coordinate planes can be regarded as a feature descriptor for 3D model retrieval. Experimental results show that our method has a fast retrieval performance with strong robustness,but it is slightly accurate.

     

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