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The Greiner-Hormann algorithm is used in computer graphics for polygon clipping. [1] It performs better than the Vatti clipping algorithm, but cannot handle degeneracies. [2] It can process both self-intersecting and non-convex polygons. It can be trivially generalized to compute other Boolean operations on polygons, such as union and difference.
The rule can be seen in effect in many vector graphic programs (such as Freehand or Illustrator), where a crossing of an outline with itself causes shapes to fill in strange ways. On a simple curve, the even–odd rule reduces to a decision algorithm for the point in polygon problem.
A fractal landscape being rendered using the painter's algorithm on an Amiga. The painter's algorithm (also depth-sort algorithm and priority fill) is an algorithm for visible surface determination in 3D computer graphics that works on a polygon-by-polygon basis rather than a pixel-by-pixel, row by row, or area by area basis of other Hidden-Surface Removal algorithms.
Given polygon A as the clipping region and polygon B as the subject polygon to be clipped, the algorithm consists of the following steps: List the vertices of the clipping-region polygon A and those of the subject polygon B. Label the listed vertices of subject polygon B as either inside or outside of clipping region A.
This algorithm is sometimes also known as the crossing number algorithm or the even–odd rule algorithm, and was known as early as 1962. [3] The algorithm is based on a simple observation that if a point moves along a ray from infinity to the probe point and if it crosses the boundary of a polygon, possibly several times, then it alternately ...
All steps for clipping concave polygon 'W' with a 5-sided convex polygon. The Weiler–Atherton algorithm overcomes this by returning a set of divided polygons, but is more complex and computationally more expensive, so Sutherland–Hodgman is used for many rendering applications. Sutherland–Hodgman can also be extended into 3D space by ...
Flood fill, also called seed fill, is a flooding algorithm that determines and alters the area connected to a given node in a multi-dimensional array with some matching attribute. It is used in the "bucket" fill tool of paint programs to fill connected, similarly colored areas with a different color, and in games such as Go and Minesweeper for ...
Download QR code; Print/export Download as PDF; Printable version; ... Help. Pages in category "Polygon clipping algorithms" The following 4 pages are in this ...