Attenuation matrix in robust, free adjustment

• Autorzy: Duchnowski R. , Wiśniewski Z.
• Konferencja: Bilateral Geodetic Meeting Poland-Italy (8th; 22-24.06.2006; Wrocław, Poland)
• Języki publikacji: EN

Abstrakty

EN

Equivalent weight matrix Px plays a major role in robust, free adjustment. It is contained in the optimization criterion P(dx) = dtxPxdx where dx is an increment vector to approximate coordinates of all network points. Assuming, that Px = px T(dx ), where Px is a priori weight matrix, the paper presents the way how to calculate an attenuation matrix T(dx)( dx is a standardized increment vector). Special attention is paid to the way of increment standardization and to computation of an increment variance matrix.

Słowa kluczowe

EN

free adjustment; robustness; outliers

• Wydawca: Wydział Geodezji i Kartografii Politechniki Warszawskiej
• Czasopismo: Reports on Geodesy
• Rocznik: 2006
• Tom: z. 2/77
• Strony: 299--305
• Opis fizyczny: Bibliogr. 11 poz., tab., wykr.

Twórcy

autor

Duchnowski R.

autor

Wiśniewski Z.

• Institute of Geodesy UWM Olsztyn Poland

Bibliografia

• 1. Borre K., Jorgensen P. C, Kubik K., (1983): Robust Adjustment of the Danish Fundamental Trangulation Network. Zesz. AGH, Geodezja, nr 79 (pp. 57-69).
• 2. Czaplewski K., (2004): Positioning with Iterative Navigational Structures Implementation. Annual of Navigation, No. 7.
• 3. Kubačkova L., Kubaček L., Kukuča J., (1987): Probability and Statistics in Geodesy and Geophysics. EIsevier Amsterdam-Oxford-New York-Tokyo.
• 4. Krarup K., Kubik., (1983): The Danish Method: experience and philosophy. Deutsche Geodätishe Kommission bei der Bayerishen Akademie Wissen., Reihe A, Heft 98.
• 5. Mittermayer E., (1980): Zur Ausgleichungfreier Netze, ZfV, Heft 11 (pp. 481-489).
• 6. Perelmuter A., (1979): Adjustment of free networks. Bull. Geod. 53 (pp. 291-296).
• 7. Prószyński W., (1981): Introduction into applications of the generalized Moore-Penrose inverse chosen adjustmentproblems (in Polish), Geod. i Kartogr., 2 (pp. 123-130).
• 8. Wiśniewski Z., (1999): A concept of Robust Estimation of Variance Coefficient (VR-estimation). Bolletino di Geodesia e Scienze Affini, 3 (pp. 291-310).
• 9. Wiśniewski Z., (2005): Adjustment of Observations in Geodesy (in Polish). Wydawnictwo Uniw. Warm. Maz., Olsztyn.
• 10. Wolf H., (1972): Helmerts Losung zum Problem der freien Netze mit singularer Normalgleichungsmatrbc. ZfV, 5 (pp. 189-192).
• 11. Yang Y., (1994): Robust Estimation for dependent observations. Manuscripta Geodetica, 19 (pp. 10-17).