𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Measuring 2-D shape compactness using the contact perimeter

✍ Scribed by E. Bribiesca


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
514 KB
Volume
33
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis


A new perimeter for shapes composed of cells is defined. This perimeter is called the contact perimeter, which corresponds to the sum of the boundaries of neighboring cells of the shape. Also, a relation between the perimeter of the shape and the contact perimeter is presented.

The contact perimeter corresponds to the measure of compactness proposed here called discrete compactness. In this case, the term compactness does not refer to point-set topology, but is related to intrinsic properties of objects.


πŸ“œ SIMILAR VOLUMES


Solving 2D transient rolling contact pro
✍ JosΓ© A. GonzΓ‘lez; RamΓ³n Abascal πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 420 KB

## Abstract This work presents a new approach to the transient rolling contact of two‐dimensional elastic bodies. A solution will be obtained by minimizing a general B‐differentiable function representing the equilibrium equations and the contact conditions at each time step. Inertial effects are n

On the optimal shape parameters of radia
✍ J.G. Wang; G.R. Liu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 626 KB

A radial point interpolation meshless (or radial PIM) method was proposed by authors to overcome the possible singularity associated with only polynomial basis. The radial PIM used multiquadric (MQ) or Gaussian as basis functions. These two radial basis functions all included shape parameters. Altho