### Table 1. Parameters of affine transformation and area ratio.

2006

"... In PAGE 2: ...al image and Figs. 2b, 2c and 2d show transformed images. Shadow (black part) is added to a character pattern (gray part) of which height is 500 pixels. Parameters of affine transformation and area ratio of black and gray regions of these images are shown in Table1 . It is clarified from the table that the value of area ratio hardly changes even if the image is affine-transformed.... ..."

Cited by 2

### Table 1. Affine transformation from digital image to photographic image

"... In PAGE 5: ... (Figure 7). The size grid was 2 m. The aerial photography was scanned with an optical resolution of 1200 dpi. The results of the affine transformation, performed to determine the parameters of correspondence between the digital image (rows and columns) and the photographic image (system of photography in millimeters) are shown in the Table1 . The internal camera parameters obtained through DLT are shown in the Table 2.... ..."

### Table 5: The three basic conformal affine transformations expressed in matrix notation.

### Table 1: Parameters used to generate the affine transformed image dataset

### Table 2 Average error from matching objects transformed by affine parameters and translated by [4,1] with objects in the database ( T indicates the affine transformed curve).

### Table 4 Statistics of parameters of affine transformation from pixel to reference coordinates for each individual image tile (in mm)

"... In PAGE 10: ...Thefit between the first and the second three scans is excel- lent with the exception of the maximum values for the maximum absolute errors which are less in the second three scans due to continuous cleaning of the plate and thus less dust. More interesting are the affine parameters of the individual tile transformations in Table4 . The trans- lations of the affine transformation give the position of the origin of the pixel coordinate system (x D 0, y D 0) with respect to the origin of the reference coordinate system of the known crosses.... In PAGE 10: ...nd 0.0000 for the x-andy-scale). The scanner software uses the scales and shears of the sensor calibration to transform from pixel to the stage coordinate system, so the scales are multiplied by maximum 992 (half the maximum image tile size), and the error due to scale variations is much smaller. For all scans (see Table4 ) the x- =y-scales differ from the nominal scales by (NUL0.0018 to 0.... ..."

### Table 2. Geometric scanner accuracy without calibration. Errors (residuals) after an affine transformation.

1996

"... In PAGE 5: ...SCSI-2 Mac, PC, Unix/ GPIB, SCSI-2 Mac Pro e Scan JX Photoshop ColorSync 4,500 19,000 65,000 filter multiplexing on the elements of one CCD. Patterns (see Table2 ). Higher order transformations lead for some Table 1.... In PAGE 9: ...1. Geometric accuracy without calibration Table2 shows the geometric accuracy of the scanners. For all scanners, except the Arcus, two scans were made.... ..."

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### Table 3. Cross-Track and Along-Track Errors for the final loop (0.343 km) of the Data Set after the Affine Transform.

2005

"... In PAGE 10: ... The plot also includes the corresponding ground truth path, affine transformed versions of the final beacon positions and the true beacon locations. Table3 provides the XTE and ATE for the path shown in Figure 4. Several experiments were performed, in order to study the convergence rate of SLAM with Kalman filter.... ..."

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### Table 3. Cross-Track and Along-Track Errors for the final loop (0.343 km) of the Data Set after the Affine Transform.

2005

"... In PAGE 10: ... The plot also includes the corresponding ground truth path, affine transformed versions of the final beacon positions and the true beacon locations. Table3 provides the XTE and ATE for the path shown in Figure 4. Several experiments were performed, in order to study the convergence rate of SLAM with Kalman filter.... ..."

Cited by 11

### Table 3 Statistics of differences between pixel and reference coordinates after an affine transformation for each individual image tile (in mm)

"... In PAGE 9: ...ile examples in Fig. 3. Errors due to mechanical positioning and vibrations are absorbed by the trans- lations of the affine transformation. Thus, the errors in Table3 and Fig. 3 represent mostly optical errors, especially lens distortion.... ..."