English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In this paper, the evolution of a polygonal spiral curve by the crystallinecurvature flow with a pinned center is considered with two view points,discrete model consist of an ODE system of facet lengths and a level setmethod. We investigate the difference of these models numerically bycalculating the area of the region enclosed by these spiral curves. The areadifference is calculated by the normalized L1 norm of the difference ofstep-like functions which are branches of arg(x) whose discontinuities are onlyon the spirals. We find the differences of the numerical results considered inthis paper are very small even though the evolution laws of these models aroundthe center and the farthest facet are slightly different.

Numerical analysis comparing ODE approach and level set method for evolving spirals by crystalline eikonal-curvature flow