File:HoughSpace2D.PNG
HoughSpace2D.PNG (721 × 360 pixels, file size: 29 KB, MIME type: image/png)
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Summary
[edit]DescriptionHoughSpace2D.PNG |
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). |
Licensing
[edit]Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | ||
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 03:35, 12 September 2006 | 721 × 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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