Geometric Analysis of Estimability of Target Object Shape Using Location-Unknown Distance Sensors
| Autor: | Hirotada Honda, Hiroshi Saito |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Control and Optimization
Geometric analysis Computer Networks and Communications Geometric probability 020208 electrical & electronic engineering Regular polygon 020206 networking & telecommunications 02 engineering and technology Object (computer science) Convexity Perimeter Control and Systems Engineering Signal Processing Polygon 0202 electrical engineering electronic engineering information engineering Vertex (curve) Algorithm Computer Science::Databases Mathematics |
| Zdroj: | IEEE Transactions on Control of Network Systems. 6:94-103 |
| ISSN: | 2372-2533 |
| DOI: | 10.1109/tcns.2018.2797807 |
| Popis: | We geometrically analyze the problem of estimating parameters related to the shape and size of a 2-D target object on the plane by using randomly distributed distance sensors whose locations are unknown. Based on the analysis using geometric probability, we discuss the estimability of these parameters: which parameters we can estimate and what conditions are required to estimate them. For a convex target object, its size and perimeter length can be estimated, and other parameters cannot be estimated. For a general polygon target object, convexity, in addition to its size and perimeter length, can be estimated. Parameters related to a concave vertex can be estimated when some conditions are satisfied. We also propose a method for estimating the convexity of a target object and the perimeter length of the target object. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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