Operators |
polar_trans_contour_xld_inv — Transform a contour in polar coordinates back to Cartesian coordinates
polar_trans_contour_xld_inv(PolarContour : XYTransContour : Row, Column, AngleStart, AngleEnd, RadiusStart, RadiusEnd, WidthIn, HeightIn, Width, Height : )
polar_trans_contour_xld_inv transforms the polar coordinate representation of a contour, stored in PolarContour, back onto an annular arc in Cartesian coordinates, described by the radii RadiusStart and RadiusEnd and the angles AngleStart and AngleEnd with the center point located at (Row, Column). All of these values can be chosen as real numbers. In addition, the dimensions of the virtual image containing the contour PolarContour must be given in WidthIn and HeightIn. WidthIn-1 is the column coordinate corresponding to AngleEnd and HeightIn-1 is the row coordinate corresponding to RadiusEnd. AngleStart and RadiusStart correspond to column and row coordinate 0. Furthermore, the dimensions Width and Height of the virtual output image containing the transformed contour XYTransContour are required. The output contour is cropped at the borders of this virtual output image.
polar_trans_contour_xld_inv is the inverse function of polar_trans_contour_xld.
The call sequence:
polar_trans_contour_xld(Contour, PolarContour, Row, Column, rad(360), 0, 0, Radius, Width, Height) polar_trans_contour_xld_inv(PolarContour, XYTransContour, Row, Column, rad(360), 0, 0, Radius, Width, Height, WidthOut, HeightOut)returns the contour Contour, restricted to the circle around (Row, Column) with radius Radius, as its output contour XYTransContour .
Note that XYTransContour can consist of more than one contour because PolarContour may be cropped at the borders of the virtual output image given by Width and Height.
If more than one contour is passed in PolarContour, their transformations are computed individually and stored as a tuple in XYTransContour. However, since one contour may be transformed into several contours, there is no relation between the indices of the contours in the input tuple PolarContour and the indices in the output tuple XYTransContour.
Only the contour points are transformed. As the polar transformation is not affine, polar_trans_contour_xld_inv 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 map the column coordinate 0 of PolarContour to.
Default value: 0.0
Suggested values: 0.0, 0.78539816, 1.57079632, 3.141592654, 6.2831853
Typical range of values: -6.2831853 ≤ AngleStart ≤ 6.2831853
Angle of the ray to map the column coordinate WidthIn-1 of PolarContour to.
Default value: 6.2831853
Suggested values: 0.0, 0.78539816, 1.57079632, 3.141592654, 6.2831853
Typical range of values: -6.2831853 ≤ AngleEnd ≤ 6.2831853
Radius of the circle to map the row coordinate 0 of PolarContour to.
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 map the row coordinate HeightIn-1 of PolarContour to.
Default value: 100
Suggested values: 0, 16, 32, 64, 100, 128, 256, 512
Typical range of values: 0 ≤ RadiusEnd ≤ 32767
Width of the virtual input image.
Default value: 512
Suggested values: 256, 320, 512, 640, 800, 1024
Typical range of values: 0 ≤ WidthIn ≤ 32767
Height of the virtual input image.
Default value: 512
Suggested values: 240, 256, 480, 512, 600, 1024
Typical range of values: 0 ≤ HeightIn ≤ 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
Foundation
Operators |