Line Drawing: Difference between revisions
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== Time Complexity | == Time Complexity Graph == | ||
[[File:Line Drawing - Time.png|1000px]] | [[File:Line Drawing - Time.png|1000px]] | ||
== Space Complexity | == Space Complexity Graph == | ||
[[File:Line Drawing - Space.png|1000px]] | [[File:Line Drawing - Space.png|1000px]] | ||
== Pareto | == Pareto Frontier Improvements Graph == | ||
[[File:Line Drawing - Pareto Frontier.png|1000px]] | [[File:Line Drawing - Pareto Frontier.png|1000px]] | ||
Revision as of 13:04, 15 February 2023
Description
Given a line segment with endpoints $(x_0, y_0), (x_1, y_1)$ and a discrete graphical medium (like pixel-based displays and printers), draw/approximate the line segment on the medium, potentially with antialiasing.
Parameters
n: number of pixels the line goes through
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Naive algorithm | 1940 | $O(n)$ | $O({1})$ auxiliary | Exact | Deterministic | |
| Digital Differential Analyzer | 1940 | $O(n)$ | $O({1})$ auxiliary | Exact | Deterministic | |
| Bresenham's line algorithm | 1965 | $O(n)$ | $O({1})$ auxiliary | Exact | Deterministic | Time |
| Xiaolin Wu's line algorithm | 1991 | $O(n)$ | $O({1})$ auxiliary | Exact | Deterministic | Time |
| Gupta-Sproull algorithm | 1981 | $O(n)$ | $O({1})$ auxiliary | Exact | Deterministic | Time |
Time Complexity Graph
Space Complexity Graph
Pareto Frontier Improvements Graph
