Medical volume images contain ambiguous and low-contrast boundaries around which existing fullyor semiautomatic segmentation algorithms often cause errors. In this paper, we propose a novel system for intuitively and efficiently refining medical volume segmentation by modifying multiple curved contours. Starting with segmentation data obtained using any existing algorithm, the user places a thr...

We propose an Eulerian description of the bounce-back boundary condition based on the high-order implicit time marching schemes to improve the accuracy of lattice Boltzmann simulation in the vicinity of curved boundary. The Eulerian description requires only one grid spacing between fluid nodes when the second-order accuracy in time and space is desired, although high-order accurate boundary co...

1. INTRODUCTION Recently, the studies on the scattering of electromagnetic waves by a cylindrically curved conducting open surface are becoming an important subject for a variety of applications [1]-[4]. When the geometrical ray or the creeping wave is incident on the edge of the cylindrically curved conducting open surface, the geometrical rays and the whispering gallery modes, which cling to ...

In this note, we estimate the upper bound of volume closed positively or nonnegatively curved Alexandrov space $X$ with strictly convex boundary. We also discuss equality case. particular, Boundary Conjecture holds when is achieved. Our theorem can be applied to Riemannian manifolds non-smooth boundary, which generalizes Heintze and Karcher's classical comparison theorem. main tool gradient flo...