Line Drawing: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
No edit summary |
||
| Line 36: | Line 36: | ||
[[File:Line Drawing - Space.png|1000px]] | [[File:Line Drawing - Space.png|1000px]] | ||
== Space | == Time-Space Tradeoff == | ||
[[File:Line Drawing - Pareto Frontier.png|1000px]] | [[File:Line Drawing - Pareto Frontier.png|1000px]] | ||
Revision as of 14:44, 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
Error creating thumbnail: Unable to save thumbnail to destination
Space Complexity Graph
Error creating thumbnail: Unable to save thumbnail to destination
Time-Space Tradeoff
Error creating thumbnail: Unable to save thumbnail to destination