Research Article

Determination of Concentration Profile for Flowing Solid Particles in Pipeline Using Electric Charge Tomography System

Table 9

Condition numbers of the image matrix.

Matrix typeCondition number

11/4-flow unfiltered real image matrix used in PRD only (rectangular matrix)45
21/2-flow unfiltered real image matrix used in PRD only (rectangular matrix)22
33/4-flow unfiltered real image matrix used in PRD only (rectangular matrix)8.9
4Full-flow unfiltered real image matrix used in PRD (rectangular matrix)6.3
51/4-flow compressed unfiltered real image matrix used in LBP, FBP, and PRD (square matrix)
61/2-flow compressed unfiltered real image matrix used in LBP, FBP, and PRD (square matrix) 480
73/4-flow compressed unfiltered real image matrix used in LBP, FBP, and PRD (square matrix) 79
8Full-flow compressed unfiltered real image matrix used in LBP, FBP, and PRD (square matrix)40
91/4-flow filtered real image matrix used in PRD only (rectangular matrix)
101/2-flow filtered real image matrix used in PRD only (rectangular matrix)
113/4-flow filtered real image matrix used in PRD only (rectangular matrix)740
12Full-flow filtered real image matrix used in PRD only (rectangular matrix)540
131/4-flow compressed filtered real image matrix used in LBP, FBP, and PRD (square matrix)690
141/2-flow compressed filtered real image matrix used in LBP, FBP, and PRD (square matrix)400
153/4-flow compressed filtered real image matrix used in LBP, FBP, and PRD (square matrix)190
16Full-flow compressed filtered real image matrix used in LBP, FBP, and PRD (square matrix)130