Bayesian Estimation Applied to Stochastic Localization with Constraints due to Interfaces and Boundaries
المؤلفون المشاركون
Hoegele, Wolfgang
Loeschel, Rainer
Dobler, Barbara
Koelbl, Oliver
Zygmanski, Piotr
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-17، 17ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2013-05-16
دولة النشر
مصر
عدد الصفحات
17
التخصصات الرئيسية
الملخص EN
Purpose.
We present a systematic Bayesian formulation of the stochastic localization/triangulation problem close to constraining interfaces.
Methods.
For this purpose, the terminology of Bayesian estimation is summarized suitably for applied researchers including the presentation of Maximum Likelihood (ML), Maximum A Posteriori (MAP), and Minimum Mean Square Error (MMSE) estimation.
Explicit estimators for triangulation are presented for the linear 2D parallel beam and the nonlinear 3D cone beam model.
The priors in MAP and MMSE optionally incorporate (A) the hard constraints about the interface and (B) knowledge about the probability of the object with respect to the interface.
All presented estimators are compared in several simulation studies for live acquisition scenarios with 10,000 samples each.
Results.
First, the presented application shows that MAP and MMSE perform considerably better, leading to lower Root Mean Square Errors (RMSEs) in the simulation studies compared to the ML approach by typically introducing a bias.
Second, utilizing priors including (A) and (B) is very beneficial compared to just including (A).
Third, typically MMSE leads to better results than MAP, by the cost of significantly higher computational effort.
Conclusion.
Depending on the specific application and prior knowledge, MAP and MMSE estimators strongly increase the estimation accuracy for localization close to interfaces.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Hoegele, Wolfgang& Loeschel, Rainer& Dobler, Barbara& Koelbl, Oliver& Zygmanski, Piotr. 2013. Bayesian Estimation Applied to Stochastic Localization with Constraints due to Interfaces and Boundaries. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-1011307
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Hoegele, Wolfgang…[et al.]. Bayesian Estimation Applied to Stochastic Localization with Constraints due to Interfaces and Boundaries. Mathematical Problems in Engineering No. 2013 (2013), pp.1-17.
https://search.emarefa.net/detail/BIM-1011307
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Hoegele, Wolfgang& Loeschel, Rainer& Dobler, Barbara& Koelbl, Oliver& Zygmanski, Piotr. Bayesian Estimation Applied to Stochastic Localization with Constraints due to Interfaces and Boundaries. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-1011307
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1011307
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر