Abstract
Dental computed tomography (CT) images and optical surface scan data are widely used in dental computer-aided design systems. Registration is essential if they are used in software systems. Existing automatic registration methods are either time-consuming or rough, and interactive registration methods are experience-dependent and tedious because of a great deal of purely manual interactions. For overcoming these disadvantages, a two-stage registration method is proposed. In the rough registration stage, the rough translation and rotation matrices are obtained by applying unit quaternion based method on the points interactively selected from the two types of data. In the precise registration stage, the stridden sampling is used to reduce computational complexity and the proposed registration algorithm with scale transformation is used for precise registration. The proposed method offers a good trade-off between precision and time cost. The experimental results demonstrate that the proposed method provides faster convergence and smaller registration errors than existing methods.
Highlights
Under emerging computer-aided design (CAD), as technology computed tomography (CT) and 3D scanning mature, digital design has gained popularity in multi-tasking, including orthodontic planning and simulation, dental implants, and jaw surgery (Hämmerle et al, 2015; Van Noort, 2012; Wu & Zhang, 2016; Zhang et al, 2017; Zhao et al, 2017).The dental volumetric data may be typically obtained by cone-beam computed tomography (CBCT)
3.3 respectively; -2 Constructing or updating the K-D tree; -3 Searching the closest vertex pair Hi and Li based on K-D tree; -4 Calculating λ based on equation (9); -5 Solving R and T based on the method in subsection 3.2; -6 Updating the coordinates of the vertices in L and H; -7 Calculating the registration error ε based on equation (10); if ε
In summary, this work contributes to our understanding of how the registry of the dental volumetric data with the dental mesh can be enhanced via a two-stage registration method
Summary
Under emerging computer-aided design (CAD), as technology computed tomography (CT) and 3D scanning mature, digital design has gained popularity in multi-tasking, including orthodontic planning and simulation, dental implants, and jaw surgery (Hämmerle et al, 2015; Van Noort, 2012; Wu & Zhang, 2016; Zhang et al, 2017; Zhao et al, 2017).The dental volumetric data may be typically obtained by cone-beam computed tomography (CBCT). Calling for a high accuracy in the registration, an automatic point cloud registration method based on per-vertex normal (Dai et al, 2017; Gao et al, 2007; Tao & Da, 2013) was previously proposed. Notwithstanding, such a method is unduly time-consuming because of having to compute the normal. The k-dimensional tree was used to speed up the search, and a threshold of the angle between the direction vectors was set to remove the wrong point pairs to improve the efficiency of the algorithm
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