File:HoughSpace2D.PNG

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DESCRIPTION: This illustration indicates the principle of Hough Transform and a line detection method. In fact, en:Hough transform has very good illustrations. But, unfortunately, they do not meet the Commons' copyright requirements. So, I draw this and uploaded. Consider five points in a Image Space (left). The Hough space representations of various lines that lie on each point are shown in the right panel. The representing sine curves are coloured correspondingly to the points in the Image Space. To see how to build a sine curve in the Hough space, we use the green point for example (middle). For this single point, various lines that pass through it can be drawn (e.g. red, green, black, and blue lines). Then we calculate each line's direction (th) and distance (r) from the origin (0, 0). This procedure is accomplished by drawing perpendiculars (lines with arrow heads) from the origin to each line. Now we can plot length vs. angle of the lines with arrow heads. The plot gives us a sine curve like green one in the right panel; r1, r2, r3, and r4 are points corresponding to perpendiculars in the middle panel, respectively. Please note that the r0 point in the right panel is the crossing point of all sine curves. This point representing the line in the Image Space that lies on all five points, initially mentioned.

The plots (the right panel) was made with the R language 2.3.1 running on MacOSX Tiger with Aqua environment.
Date 12 September 2006 (original upload date)
Source No machine-readable source provided. Own work assumed (based on copyright claims).
Author No machine-readable author provided. NekoJaNekoJa~commonswiki assumed (based on copyright claims).

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This licensing tag was added to this file as part of the GFDL licensing update.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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current03:35, 12 September 2006Thumbnail for version as of 03:35, 12 September 2006721 × 360 (29 KB)NekoJaNekoJa~commonswiki (talk | contribs)DESCRIPTION: This illustration indicates the principle of Hough Transform and a line detection method. In fact, en:Hough transform has very good illustrations. But, unfortunately, they do not meet the Commons' copyright requirements. So, I draw th

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