- Tytuł:
- Shape identification via metrics constructed from the oriented distance function
- Autorzy:
-
Delfour, M. C.
Zolesio, J.-P. - Powiązania:
- https://bibliotekanauki.pl/articles/970145.pdf
- Data publikacji:
- 2005
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
identyfikacja kształtu
analiza wrażliwości
zagadnienie wariacyjne
przetwarzanie obrazów
metryka
dziedzina Soboleva
metoda prędkości
odległość
shape identification
sensitivity analysis
variational problems
set-valued and variational analysis
image processing
image enhancing
metric
distance
oriented distance function
signed distance function
Sobolev domains
velocity method
cracked sets - Opis:
- This paper studies the generic identification problem: to find the best non-parametrized object [Omega] which minimizes some weighted sum of distances to I a priori given objects [Omega]_i for metric distances constructed from the W^1,p-norm on the oriented (resp. signed) distance function which occurs in many different fields of applications. It discusses existence of solution to the generic identification problem and investigates the Eulerian shape semiderivatives with special consideration to the non-differentiable terms occurring in their expressions. A simple example for the new cracked sets recently introduced in Delfour and Zolesio (2004b) is also presented. It can be viewed as an approximation of a cracked set by sets whose boundary is made up of pieces of lines or Bezier curves that are not necessarily connected.
- Źródło:
-
Control and Cybernetics; 2005, 34, 1; 137-164
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł