Name
Abstract | ||
|---|---|---|
This article presents two novel full quadrant approximations for the arctangent function that are specially suitable for real-time applications. The key point of the proposed approximations is that they are valid in a full quadrant. As a result, they can be easily extended to two and four quadrants. The approximations we define are rational functions of second and third order, respectively. This article provides a comparison of the precision and performance of the proposed functions with the best state-of-the-art approximations. Results show that the third-order proposed function outperforms the existing ones in terms of both precision and performance. The second-order proposed function, on the other hand, is the most suitable one for real-time applications, since it has the highest performance. Furthermore, it attains an adequate precision for most applications in the computer vision field. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/MSP.2012.2219677 | Signal Processing Magazine, IEEE |
Keywords | Field | DocType |
approximation theory,computer vision,object recognition,arctangent function,computer vision field,full quadrant approximations,object recognition,third order proposed function | Quadrant (instrument),Computer vision,Four quadrants,Computer science,Third order,Approximation theory,Theoretical computer science,Artificial intelligence,Rational function,atan2,Inverse trigonometric functions,Cognitive neuroscience of visual object recognition | Journal |
Volume | Issue | ISSN |
30 | 1 | 1053-5888 |
Citations | PageRank | References |
6 | 0.61 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xavier Gironés | 1 | 6 | 0.61 |
| Carme Julià | 2 | 58 | 6.78 |
| Domenec Puig | 3 | 332 | 54.33 |