Parametric evaluation of cortical bone thickness behavior on stress/strain of a dental implant

Reconstruction of Panoramic Dental Images Through Bézier Function Optimization

“…To connect possible disjoint regions due to, for instance, missing teeth, a morphological dilation operator of size 20 × 20 pixels was applied (Amorim et al, 2012 , 2014 ). The result, presented in Figure 1D , is not smooth enough to define the skeleton.…”

“…The result, presented in Figure 1D , is not smooth enough to define the skeleton. Therefore, in the next step, a Gaussian filter with σ = 4 is used (Amorim et al, 2012 , 2014 ). In Figure 1E , a smoother image is observed, however, more than one component is still visible.…”

“…In fact, first, second, or third derivatives are not continuous functions. For this reason, a panoramic image based on skeleton will be non-smooth (Amorim et al, 2014 ). Thus, a smooth curve should be applied.…”

“…In fact, it is possible to propose an optimization procedure to compute control points ( P i ) that minimize the distance between the Bézier and skeleton curves. Mathematically, the optimization procedure can be stated as (Amorim et al, 2014 ):…”

“…The authors evaluated their approach on 120 CT axial images. Amorim et al (2014) developed a method to automatically reconstruct the dental arch based on CT scan images. Their work employed optimization techniques to find the best B-spline that approximates the dental arch.…”