Computing shape DNA using the closest point method

Summer 2017: Nserc Usra Report Computing Shape Dna Using the Closest Point Method

Computing the Closest Point to a Circle

In this paper we consider the problem of computing the closest point to the boundary of a circle among a set S of n points. We present two algorithms to solve this problem. One algorithm runs in O(n) preprocessing time and space and O(log n) query time. The other algorithm runs in O(n ) preprocessing time and O(n log n) space and O(n ) query time. Thus we exhibit a trade-off between preprocessi...

buckling of viscoelastic composite plates using the finite strip method

در سال های اخیر، تقاضای استفاده از تئوری خطی ویسکوالاستیسیته بیشتر شده است. با افزایش استفاده از کامپوزیت های پیشرفته در صنایع هوایی و همچنین استفاده روزافزون از مواد پلیمری، اهمیت روش های دقیق طراحی و تحلیل چنین ساختارهایی بیشتر شده است. این مواد جدید از خودشان رفتارهای مکانیکی ارائه می دهند که با تئوری های الاستیسیته و ویسکوزیته، نمی توان آن ها را توصیف کرد. این مواد، خواص ویسکوالاستیک دارند....

The Curvature-Augmented Closest Point Method with Vesicle Inextensibility Application

The Closest Point method, initially developed by Ruuth and Merriman, allows for the numerical solution of surface partial differential equations without the need for a parameterization of the surface itself. Surface quantities are embedded into the surrounding domain by assigning each value at a given spatial location to the corresponding value at the closest point on the surface. This embeddin...

Level Set Equations on Surfaces via the Closest Point Method

Level set methods have been used in a great number of applications in R and R and it is natural to consider extending some of these methods to problems defined on surfaces embedded in R or higher dimensions. In this paper we consider the treatment of level set equations on surfaces via a recent technique for solving partial differential equations (PDEs) on surfaces, the Closest Point Method [RM...