Diffuse Interface Energies Capturing the Euler Number: Relaxation and Renomalization

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Euler number of the compactified Jacobian and

In this paper we show that the Euler number of the compactified Jacobian of a rational curve C with locally planar singularities is equal to the multiplicity of the δ-constant stratum in the base of a semi-universal deformation of C. In particular, the multiplicity assigned by Yau, Zaslow and Beauville to a rational curve on a K3 surface S coincides with the multiplicity of the normalisation ma...

متن کامل

Efficient Euler-Number Thresholding

Euler thresholding is a non-parametric dynamic thresholding method, useful for many computer vision tasks. It requires the calculation of a graph relating thresholds to Euler numbers and performing a Rosin unimodal threshold calculation on the graph. This report details how this can be done in time complexity O(N + T ) where N is the number of pixels in the image and T is the number of threshol...

متن کامل

Estimation of the number of alveolar capillaries by the Euler number (Euler-Poincaré characteristic).

The lung parenchyma provides a maximal surface area of blood-containing capillaries that are in close contact with a large surface area of the air-containing alveoli. Volume and surface area of capillaries are the classic stereological parameters to characterize the alveolar capillary network (ACN) and have provided essential structure-function information of the lung. When loss (rarefaction) o...

متن کامل

Stable and accurate interface capturing advection schemes

In this paper, stable and “low-diffusive” multidimensional interface capturing (IC) schemes using slope limiters are discussed. It is known that direction-by-direction slope-limited MUSCL schemes create geometrical artefacts and thus return a poor accuracy. We here focus on this particular issue and show that the reconstruction of gradient directions are an important factor of accuracy. The use...

متن کامل

Diffuse Interface Stress Tensor

We show that under equilibrium conditions, an anisotropic phase-eld model of a diiuse interface leads to the notion of a divergence-free tensor, whose components are negligible away from the interface. Near the interface, it plays the r^ ole of a stress tensor, and involves the phase-eld generalisation of the Cahn-Hooman-vector. We show that this tensor may be used to derive the equilibrium con...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Communications in Mathematical Sciences

سال: 2007

ISSN: 1539-6746,1945-0796

DOI: 10.4310/cms.2007.v5.n1.a10