✦ LIBER ✦

DISCRETE, NONLINEAR CURVATURE-DEPENDENT CONTOUR EVOLUTION

✍ Scribed by SCOTT THOMPSON; AZRIEL ROSENFELD

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 246 KB
Volume: 31
Category: Article
ISSN: 0031-3203
DOI: 10.1016/s0031-3203(98)00062-4

No coin nor oath required. For personal study only.

✦ Synopsis

There has been much recent interest in curvature-dependent contour evolution processes, particularly when the resultant family of contours satisfies the heat (diffusion) equation. Computer simulations of these processes have used high-precision computation to closely approximate the solutions to the equation. This paper describes a class of low-precision contour evolution processes, based on a digital approximation to the curvature of the contour derived from its chain code, that can be applied to contours in low-resolution digital images. We have found that these methods perform quite similarly to the PDE-based methods at much lower computational cost. Our methods are also not limited to using linear functions of the contour's curvature; we give several examples of digital contour evolution processes that depend nonlinearly on curvature, and discuss their possible uses.

📜 SIMILAR VOLUMES

Convexity Rule for Shape Decomposition B

Convexity Rule for Shape Decomposition Based on Discrete Contour Evolution

✍ Longin Jan Latecki; Rolf Lakämper 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 627 KB

We concentrate here on decomposition of 2D objects into meaningful parts of visual form, or visual parts. It is a simple observation that convex parts of objects determine visual parts. However, the problem is that many significant visual parts are not convex, since a visual part may have concavitie

Nonlinear evolution equations associated

Nonlinear evolution equations associated with ‘enegry-dependent Schrödinger potentials’

✍ M. Jaulent; I. Miodek 📂 Article 📅 1976 🏛 Springer 🌐 English ⚖ 363 KB

The 'Inverse Scattering Transform' is used to solve a class of nonlinear equations associated with the inverse problem for the one-dimensional Schr6dinger equation with the energy-dependent potential V(k, x) = U(x) + kQ(x). ## 1. INTRODUCTION AND SUMMARY OF RESULTS We present here an extension to

Nonlinear evolution of probability vecto

Nonlinear evolution of probability vectors of interest in discrete kinetic theory

✍ E. Gabetta; L. Pareschi 📂 Article 📅 1994 🏛 Springer Netherlands 🌐 English ⚖ 610 KB

In the framework of the discrete Boltzmann equation, a suitable space-time discretization of the one-dimensional fourteen discrete velocity model by Cabannes, leads in a bounded domain to the nonlinear Markovian evolution of a probability vector, whose moments represent the macroscopic quantities of

Nonlinear evolution equations involving

Nonlinear evolution equations involving time-dependent subdifferentials of opposite sign

✍ Dimitrios A. Kandilakis 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 223 KB

Dissipative/conservative Galerkin method

Dissipative/conservative Galerkin method using discrete partial derivatives for nonlinear evolution equations

✍ Takayasu Matsuo 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 408 KB

A posteriori error estimates for variabl

A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations

✍ Ricardo H. Nochetto; Giuseppe Savaré; Claudio Verdi 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 336 KB 👁 2 views

We study the backward Euler method with variable time steps for abstract evolution equations in Hilbert spaces. Exploiting convexity of the underlying potential or the angle-bounded condition, thereby assuming no further regularity, we derive novel a posteriori estimates of the discretization error