2021
DOI: 10.3390/app11052363
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Three-Dimensional Tooth Model Reconstruction Using Statistical Randomization-Based Particle Swarm Optimization

Abstract: The registration between images is a crucial part of the 3-D tooth reconstruction model. In this paper, we introduce a registration method using our proposed statistical randomization-based particle swarm optimization (SR-PSO) algorithm with the iterative closet point (ICP) method to find the optimal affine transform between images. The hierarchical registration is also utilized in this paper since there are several consecutive images involving in the registration. We implemented this algorithm in the scanned … Show more

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Cited by 7 publications
(12 citation statements)
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References 30 publications
(43 reference statements)
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“…First, the center of the two point-clouds were calculated. This was an imaginary point where the mass of the object was concentrated, and its coordinates were obtained by calculating the average of the coordinate values of all points in the point cloud [28]. Each point in the point cloud was subtracted from the coordinates of the center of mass point and finally resaved as a new point cloud datum for the next step of singular value decomposition (SVD) to find the transformation matrix.…”
Section: Accurate Registration Of the Point Cloudmentioning
confidence: 99%
“…First, the center of the two point-clouds were calculated. This was an imaginary point where the mass of the object was concentrated, and its coordinates were obtained by calculating the average of the coordinate values of all points in the point cloud [28]. Each point in the point cloud was subtracted from the coordinates of the center of mass point and finally resaved as a new point cloud datum for the next step of singular value decomposition (SVD) to find the transformation matrix.…”
Section: Accurate Registration Of the Point Cloudmentioning
confidence: 99%
“…where t 2 is the random number generation time required for Equations ( 2), ( 3), and ( 6) in the updating process, t 3 is the time required for the MOA optimized by compound cycloid updating, and t 4 is the time required for individual updating, according to Equations ( 3) and (6).…”
Section: Time Complexity Of the Algorithmmentioning
confidence: 99%
“…Therefore, extensive research has been conducted on swarm intelligence algorithms in recent years. Inspired by the laws underlying the development of natural things, some examples of these algorithms are the teaching and learning optimization algorithm (TLBO) [1], the positive chord algorithm (SCA) [2,3], the particle swarm optimization (PSO) [4][5][6], and the genetic algorithm (GA) [7,8]. They can also be inspired by the collective or social intelligence of natural biology, as in the case of the Harris hawks algorithm (HHO) [9,10], the artificial fish swarm algorithm (FSA) [11], the sparrow search algorithm (CSA) [12][13][14], and the gray wolf optimization algorithm (GWO) [15].…”
Section: Introductionmentioning
confidence: 99%
“…However, only rotation and/or translation were used in those matching locations. Hence, in our previous work [ 39 ], the statistical randomization-based particle swarm optimization (SR-PSO) algorithm with the iterative closet point (ICP) method was used to find the optimal affine transform (translation, scaling, rotation, and shearing (shortened from a shearing mapping that displaces each point in a fixed direction by an amount proportional to its signed distance from a given line parallel to that direction)) between teeth optical images.…”
Section: Introductionmentioning
confidence: 99%
“…However, due to a research ethical approval requirement, we will not use real images taken from children. Hence, we postulate scanned images from two commercial tooth models and then create point cloud images [ 39 ]. To avoid premature convergence and to balance between exploration and exploitation, we modify the grey wolf optimization algorithm [ 40 ] with behavior considerations and dimensional learning strategies [ 41 , 42 , 43 , 44 ], called BCDL-GWO, to find the suitable affine transform between the source and target images.…”
Section: Introductionmentioning
confidence: 99%