Operators |
polar_trans_contour_xld — Transform a contour in an annular arc to polar coordinates.
polar_trans_contour_xld(Contour : PolarTransContour : Row, Column, AngleStart, AngleEnd, RadiusStart, RadiusEnd, Width, Height : )
polar_trans_contour_xld transforms the Contour in the annular arc specified by the center point (Row, Column), the radii RadiusStart and RadiusEnd and the angles AngleStart and AngleEnd to its polar coordinate version PolarTransContour in the virtual image of the dimensions Width x Height. The output contour is cropped at the borders of this virtual image.
The coordinate (0,0) in the output contour always corresponds to the contour point specified by RadiusStart and AngleStart. Analogously, the coordinate (Height-1,Width-1) in the output contour always corresponds to the point in the contour that is specified by RadiusEnd and AngleEnd, even if the contour does not contain these points. In the usual mode (AngleStart < AngleEnd and RadiusStart < RadiusEnd), the polar transformation is performed in the mathematically positive orientation (counterclockwise). Furthermore, contour points with smaller radii lie in the upper part of the output contour. By suitably exchanging the values of these parameters (e.g., AngleStart > AngleEnd or RadiusStart > RadiusEnd), any desired orientation of the output contour PolarTransContour can be achieved.
The angles can be chosen from all real numbers. Center point and radii can be real as well.
Note that PolarTransContour can consist of more than one contour because Contour may be split at AngleStart respectively AngleEnd or the size of the angle interval [AngleStart,AngleEnd] may be greater than one 2pi period.
If more than one contour is passed in Contour, their polar transformations are computed individually and stored as a tuple in PolarTransContour. However, since one contour may be transformed into several contours, there is no relation between the indices of the contours in the input tuple Contour and the indices in the output tuple PolarTransContour.
Only the contour points are transformed. As the polar transformation is not affine, polar_trans_contour_xld only produces reliable results if the spacing of the contour points is small. Existing attributes are not transformed.
Input contour.
Output contour.
Row coordinate of the center of the arc.
Default value: 256
Suggested values: 0, 16, 32, 64, 128, 240, 256, 480, 512
Typical range of values: 0 ≤ Row ≤ 32767
Restriction: Row >= -131068 && Row <= 131068
Column coordinate of the center of the arc.
Default value: 256
Suggested values: 0, 16, 32, 64, 128, 256, 320, 512, 640
Typical range of values: 0 ≤ Column ≤ 32767
Restriction: Column >= -131068 && Column <= 131068
Angle of the ray to be mapped to the column coordinate 0 of PolarTransContour.
Default value: 0.0
Suggested values: 0.0, 0.78539816, 1.57079632, 3.141592654, 6.2831853, 12.566370616
Typical range of values: -6.2831853 ≤ AngleStart ≤ 6.2831853
Angle of the ray to be mapped to the column coordinate Width-1 of PolarTransContour to.
Default value: 6.2831853
Suggested values: 0.0, 0.78539816, 1.57079632, 3.141592654, 6.2831853, 12.566370616
Typical range of values: -6.2831853 ≤ AngleEnd ≤ 6.2831853
Radius of the circle to be mapped to the row coordinate 0 of PolarTransContour.
Default value: 0
Suggested values: 0, 16, 32, 64, 100, 128, 256, 512
Typical range of values: 0 ≤ RadiusStart ≤ 32767
Radius of the circle to be mapped to the row coordinate Height-1 of PolarTransContour.
Default value: 100
Suggested values: 0, 16, 32, 64, 100, 128, 256, 512
Typical range of values: 0 ≤ RadiusEnd ≤ 32767
Width of the virtual output image.
Default value: 512
Suggested values: 256, 320, 512, 640, 800, 1024
Typical range of values: 0 ≤ Width ≤ 32767
Height of the virtual output image.
Default value: 512
Suggested values: 240, 256, 480, 512, 600, 1024
Typical range of values: 0 ≤ Height ≤ 32767
polar_trans_image_ext, polar_trans_image_inv, polar_trans_region, polar_trans_region_inv, polar_trans_contour_xld_inv
Foundation
Operators |