Union of n Disks: Remote Centers, Common Origin
Steven Finch
TL;DR
This paper discusses the union of n disks with a focus on explicit area expressions, which are useful for calculating integrals in applied probability, building on previous work by Tao & Wu (1987).
Contribution
It extends the known explicit area formulas for the union of disks to broader cases, aiding probabilistic integral calculations.
Findings
Explicit area expressions for union of disks derived.
Application to integrals in applied probability demonstrated.
Extension of Tao & Wu's special case to general scenarios.
Abstract
Explicit area expressions are known for a special case, due to Tao & Wu (1987), and lead to calculation of integrals in applied probability.
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Taxonomy
TopicsComputational Geometry and Mesh Generation · Digital Image Processing Techniques · Data Management and Algorithms