Polygon Clipping with Arbitrary Clipping Polygon: Difference between revisions
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| [[Greiner–Hormann clipping algorithm (Polygon Clipping with Arbitrary Clipping Polygon Polygon Clipping)|Greiner–Hormann clipping algorithm]] || 1998 || $O(n^{2})$ ? || $O(n^{2})$ | | [[Greiner–Hormann clipping algorithm (Polygon Clipping with Arbitrary Clipping Polygon Polygon Clipping)|Greiner–Hormann clipping algorithm]] || 1998 || $O(n^{2})$ ? || $O(n^{2})$? || Exact || Deterministic || [http://davis.wpi.edu/~matt/courses/clipping/ Time] | ||
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| [[Vatti clipping algorithm (Polygon Clipping with Arbitrary Clipping Polygon Polygon Clipping)|Vatti clipping algorithm]] || 1992 || $O(n^{2})$ ? || $O(n^{2})$ | | [[Vatti clipping algorithm (Polygon Clipping with Arbitrary Clipping Polygon Polygon Clipping)|Vatti clipping algorithm]] || 1992 || $O(n^{2})$ ? || $O(n^{2})$? || Exact || Deterministic || [https://dl.acm.org/doi/10.1145/129902.129906 Time] | ||
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| [[Weiler–Atherton clipping algorithm (Polygon Clipping with Arbitrary Clipping Polygon Polygon Clipping)|Weiler–Atherton clipping algorithm]] || 1977 || $O(n^{2})$ || $O(n^{2})$ | | [[Weiler–Atherton clipping algorithm (Polygon Clipping with Arbitrary Clipping Polygon Polygon Clipping)|Weiler–Atherton clipping algorithm]] || 1977 || $O(n^{2})$ || $O(n^{2})$? || Exact || Deterministic || [https://www.cs.drexel.edu/~david/Classes/CS430/HWs/p214-weiler.pdf Time] | ||
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[[File:Polygon Clipping - Polygon Clipping with Arbitrary Clipping Polygon - Time.png|1000px]] | [[File:Polygon Clipping - Polygon Clipping with Arbitrary Clipping Polygon - Time.png|1000px]] | ||
Latest revision as of 09:08, 28 April 2023
Description
Clipping is an essential part of image synthesis. Traditionally, polygon clipping has been used to clip out the portions of a polygon that lie outside the window of the output device to prevent undesirable effects. In the recent past polygon clipping is used to render 3D images through hidden surface removal and to produce high-quality surface details using techniques such as Beam tracing. Polygon clipping is also used in distributing the objects of a scene to appropriate processors in multiprocessor raytracing systems to improve rendering speeds.
Related Problems
Subproblem: Polygon Clipping with Convex Clipping Polygon
Parameters
No parameters found.
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Greiner–Hormann clipping algorithm | 1998 | $O(n^{2})$ ? | $O(n^{2})$? | Exact | Deterministic | Time |
| Vatti clipping algorithm | 1992 | $O(n^{2})$ ? | $O(n^{2})$? | Exact | Deterministic | Time |
| Weiler–Atherton clipping algorithm | 1977 | $O(n^{2})$ | $O(n^{2})$? | Exact | Deterministic | Time |
Time Complexity Graph
