Variational approach to reconstruct surface from sparse and nonparallel contours in freehand 3D ultrasound imaging

Quantitative Assessment of Variational Surface Reconstruction from Sparse Point Clouds in Freehand 3D Ultrasound Imaging during Image-Guided Tumor Ablation

“…Third, the VSR method was not compared with other surface reconstruction methods. These three drawbacks make the conclusions regarding the prior VSR work [40] less convincing.…”

“…The three drawbacks to the work by Deng et al [40] are ameliorated in this paper. More experiments are conducted, quantitative metrics are introduced to assess the quality of surface reconstruction, and the surface reconstruction quality of the VSR method is compared with three other methods.…”

“…However, there are three drawbacks to the previous VSR work [40]. First, the experiments were simplistic, as they only used the VSR method to reconstruct a seashell and a plastic apple.…”

“…Variational interpolation is commonly used in the surface reconstruction of dense point clouds from ranger scanners [42][43][44][45], and also in the segmentation of medical data [46], but has not been used in the surface reconstruction of freehand 3D US. Although [46] was focused on the 3D segmentation of medical images, the variational interpolation technique used was the same as that in [40]. Because this paper was not dedicated to ultrasound imaging, the specific characteristics of surface reconstruction in freehand 3D US were not addressed.…”

“…Deng et al [40] provided a surface reconstruction method for freehand 3D US, which is an implicit-function-based method similar to Poisson reconstruction. The surface reconstruction method was based on variational interpolation, which was used by Greg Turk for shape transformation [41]; hence, it was named the variational surface reconstruction (VSR) method.…”