Two-point incremental forming method is considered a modern technique for manufacturing shell parts. The presence of bottom punch during the process makes this technique far more complex than its conventional counterpart i.e. single-point incremental forming method. Thus, the numerical simulation of this method is an essential task, which leads to the reduction of trial/error costs, predicts th...

C-arms are well suited for obtaining cone-beam projections intra-operatively. Due to the compact size of the detector used, the data are usually truncated within the field of view. As a result, direct application of a standard cone-beam reconstruction algorithm gives rise to undesirable artifacts and incorrect values in the reconstructed image volume. When prior information such as a pre-operat...

We prove that the k-truncated microsupport of the specialization of a complex of sheaves F along a submanifold is contained in the normal cone to the conormal bundle along the k-truncated microsupport of F . In the complex case, applying our estimates to F = RHomD(M,O), where M is a coherent D-module, we obtain new estimates for the truncated microsupport of real analytic solutions. When M is r...

The evolution of a turbulent boundary layer over truncated cones in staggered and random configurations is investigated using direct numerical simulations. Three planform densities one staggered, which closely match the configuration recent experiment by Womack et al. ( J. Fluid Mech. , vol. 933, 2022, A38), are considered. also used to validate present computations found reproduce flow measure...

In this paper the nano conical shell model is developed based on modified strain gradient theory. The governing equations of the nano truncated conical shell are derived using the FSDT, and the size parameters through modified strain gradient theory have been taken into account. Hamilton’s principle is used to obtain the governing equations, and the shell’s equations of motion are derived with ...

We obtain an improved Fourier restriction estimate for a truncated cone using the method of polynomial partitioning in dimension $n\\geq 3$, which particular solves conjecture $n=5$, and recovers sharp range $3\\leq n\\leq 4$. The main ingredient proof is $k$-broad extension operator, weak version $k$-linear $2\\leq k\\leq n$.

Long-object problem and short-object problem both deal with reconstruction problems with truncated conebeam CT projections acquired with a helical path. They have significantly less practical limitations than original exact cone-beam CT reconstruction algorithms which the cone-beam must cover the whole object. The short-object problem can be defined as reconstruction of the whole object having ...

The purpose of this study was to improve the speed of the Simultaneous Algebraic Reconstruction Technique (SART) for truncated cone-beam (CB) projections using a distance-driven forward projector. First, we optimized the innermost loop of the projector for a cone-beam scanner with a circular source trajectory and a flat-panel imager. We showed that the innermost loop of the distance-driven proj...