A new scheme of data-driven segmentation is proposed, which is based on detection of object boundary, and volumetric pattern reconstruction as implicit function by using the detected object boundary and the radial basis functions (RBF). By using clinical X-ray CT data, applications in visualization of the pancreatic duct by MINIP of curved thin-slab and in liver segmentation are shown.

We discuss the inverse problem of determining the, possibly anisotropic, conductivity of a body Ω ⊂ Rn when the so-called Neumann-to-Dirichlet map is locally given on a non empty curved portion Σ of the boundary ∂Ω. We prove that anisotropic conductivities that are a-priori known to be piecewise constant matrices on a given partition of Ω with curved interfaces can be uniquely determined in the...

Inspired by a recent work of Grove and Petersen (Alexandrov spaces with maximal radius, 2018), where the authors studied positively curved Alexandrov largest possible boundary, namely round sphere, we study lower curvature bound 1 large boundary other than sphere. In particular, classify those radius equal to $$\pi /2$$ , intrinsic diameter their boundaries is at most .

In Alexandrov spaces of curvature bounded either above (CBA) or below (CBB), we obtain extrinsic curvature bounds on subspaces associated with semiconcave functions. For CBA spaces, we obtain new intrinsic curvature bounds on subspaces. For CBB spaces whose boundary is extrinsically curved, we strengthen Perelman’s concavity theorem for distance from the boundary, deriving corollaries on sharp ...

We propose an a posteriori approach for generating curved meshes for viscous flow simulations composed by high-order tetrahedra. The proposed approach is performed in the following three steps: (1) generate a linear tetrahedral mesh for inviscid flow; (2) insert a boundary layer mesh, composed by linear tetrahedra, on the viscous part; and (3) convert the linear tetrahedral mesh to a curved and...

We present an algebraic algorithm to generate the exact general sweep boundary of a 2D curved object which changes its shape dynamically while moving along a parametric curve trajectory.