Using kriging for 3d medical imaging

Method to Geometrically Personalize a Detailed Finite-Element Model of the Spine

“…Free form deformation techniques, as dual kriging [25], [26] can be applied with 3D reconstructed points to deform detailed vertebral primitives and obtain surface or solid continuum meshes [12], [18], [27], [28]. Dual kriging is a linear unbiased estimator of a random function, and can be used as a general interpolation technique.…”

A chronology of interpolation: from ancient astronomy to modern signal and image processing

“…Kriging has been studied in the context of geostatistics [312], [314], [315], cartography [316], and meteorology [317] and is closely related to interpolation by thin-plate splines or radial basis functions [318], [319]. In medical imaging, the technique seems to have been applied first by Stytz and Parrot [320], [321]. More recent studies related to kriging in signal and image processing include those of Kerwin and Prince [322] and Leung et al [323].…”

Two-Dimensional Direction-Based Interpolation with Local Centered Moments

“…In order to circumvent the segmentation, several gray-scale shape-based approaches were presented [11,12,[16][17][18]. In the method of Grevera and Udupa [11,12], two complementary steps, called lifting and collapsing, were respectively added at the beginning and the end of the Raya-Udupa algorithm.…”

“…This method is similar to Goshtasby's method, and thus has similar limitations. M. R. Stytz's interpolation method [18] is based on a statistical procedure called kriging. Aside from its intensive computation, this method also relies on the fixed polynomial-based structure model and points in different structures are involved in interpolation.…”

“…These methods can be classified into two categories based on their strategies: the traditional interpolation methods [3][4][5] and the shape-based interpolation methods [7][8][9][10][11][12][13][14][15][16][17][18].…”