[FEATURE REQUEST] Add Line Clipping Algorithms: Cohen-Sutherland, Midpoint Subdivision, Liang-Barsky #5472
Description
What would you like to Propose?
I propose implementing three line clipping algorithms: Cohen-Sutherland, Midpoint Subdivision, and Liang-Barsky. These algorithms are essential for performing efficient line clipping in 2D graphics. They enable the clipping of lines within a rectangular clipping window or viewport in computer graphics applications. Each algorithm has its approach to solving the problem and would be useful for different scenarios in graphical rendering.
Issue details
Problem Statement:
The goal is to implement efficient line clipping algorithms to determine the intersection of lines with a rectangular clipping window. The following algorithms will be implemented:
-
Cohen-Sutherland Algorithm: This algorithm categorizes points with outcodes, allowing for fast rejection or acceptance of lines based on their positions relative to the clipping window.
-
Midpoint Subdivision Algorithm: This algorithm recursively divides lines into segments, checking if they lie within the clipping window to determine if they should be clipped or not.
-
Liang-Barsky Algorithm: This algorithm employs parametric equations to find intersection points of lines with the clipping window, enabling precise clipping operations.
Benefits:
- Efficiency: Each algorithm offers different performance characteristics, allowing users to choose the most suitable one based on their application's requirements.
- Versatility: These algorithms are applicable in a variety of graphics applications, including game development and user interface design.
- Clarity: Implementing these algorithms helps illustrate fundamental concepts of line clipping in computer graphics.
Implementation:
- All three algorithms will be provided as methods in a new
LineClippingclass. - Each algorithm will be implemented as a static method that takes inline coordinates and clipping window boundaries, returning the clipped line or a point indicating rejection.
Sample Use Case (Test Scenario):
The following use case demonstrates how the algorithms will operate:
public class LineClipping {
// Clipping methods for Cohen-Sutherland, Midpoint Subdivision, and Liang-Barsky
public static Line cohenSutherlandClip(Line line, int xMin, int yMin, int xMax, int yMax) {
// Implementation here
return clippedLine; // Returns the clipped line or the top corner point if completely outside
}
public static Line midpointSubdivisionClip(Line line, int xMin, int yMin, int xMax, int yMax) {
// Implementation here
return clippedLine; // Returns the clipped line or the top corner point if completely outside
}
public static Line liangBarskyClip(Line line, int xMin, int yMin, int xMax, int yMax) {
// Implementation here
return clippedLine; // Returns the clipped line or the top corner point if completely outside
}
}
// Sample lines to be clipped
Line line1 = new Line(50, 50, 350, 350); // Partially outside
Line line2 = new Line(150, 150, 250, 250); // Completely inside
Line line3 = new Line(400, 400, 450, 450); // Completely outside
// Define clipping window
int xMin = 100, yMin = 100, xMax = 300, yMax = 300;
// Test the algorithms
Line clipped1 = LineClipping.cohenSutherlandClip(line1, xMin, yMin, xMax, yMax);
Line clipped2 = LineClipping.midpointSubdivisionClip(line2, xMin, yMin, xMax, yMax);
Line clipped3 = LineClipping.liangBarskyClip(line3, xMin, yMin, xMax, yMax);
// Expected Output
// For lines that are partially or completely within the clipping rectangle, the clipped lines will be returned.
// For completely outside lines, the method will return the top corner point of the clipping window.
### Additional Information
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