The isogeometric analysis is increasingly used in various engineering problems. It is based on Non-Uniform Rational B-Splines (NURBS) basis function applied for the solution field approximation and the geometry description. One of the major concerns with this method is finding an efficient approach to impose essential boundary conditions, especially for inhomogeneous boundaries. The main contri...

Producing an accurate motion flow field is very difficult at motion boundaries. We present a novel, noniterative approach for segmentation from image motion, based on two voting processes, in different dimensional spaces. By expressing the motion layers as surfaces in a 4-D space, a voting process is first used to enforce the smoothness of motion and determine an estimation of pixel velocities,...

Article history: Received 14 January 2011 Received in revised form 31 May 2011 Accepted 8 July 2011 Available online xxxx

For one-dimensional p-Laplacian with weights in Lγ : L 0, 1 ,R 1 ≤ γ ≤ ∞ balls, we are interested in the extremal values of the mth positive half-eigenvalues associated with Dirichlet, Neumann, and generalized periodic boundary conditions, respectively. It will be shown that the extremal value problems for half-eigenvalues are equivalent to those for eigenvalues, and all these extremal values a...

Article history: Received 1 October 2013 Available online 21 November 2013 Submitted by J. Shi

Article history: Received 30 May 2012 Received in revised form 2 May 2013 Accepted 19 August 2013 Available online 25 September 2013

Disconnected skeleton [1] is a very coarse yet a very stable skeleton-based representation scheme for generic shape recognition in which recognition is performed mainly based on the structure of disconnection points of extracted branches, without explicitly using information about boundary details [2, 3]. However, sometimes sensitivity to boundary details may be required in order to achieve the...

Immersing a physical system in a heat bath results in the fields acquiring different properties according to their statistics. E.g., finite-temperature bosonic fields obey periodic boundary conditions, while fermionic fields satisfy antiperiodic b.c.’s. Such a distinction can be seen also at the level of the Green’s functions. Depending on the field’s statistics, thermal propagators obey either...

We propose a novel and efficient approach for extracting the boundary surfaces from heterogeneous volumetric data in one pass. Each homogeneous material component is surrounded by a boundary surface, which is composed of piecewise 2-manifold meshes. The key idea is to subdivide each cubical voxel into two tri-prism voxels and to construct the boundary surfaces in a dimension-ascending (DA) way,...