Infrared small target detection with kernel Fukunaga-Koontz transform

The Fukunaga-Koontz transform ( FKT) has been proposed for many years. It can be used to solve two- pattern classification problems successfully. However, there are few researchers who have definitely extended FKT to kernel FKT ( KFKT). In this paper, we first complete this task. Then a method based on KFKT is developed to detect infrared small targets. KFKT is a supervised learning algorithm. How to construct training sets is very important. For automatically detecting targets, the synthetic target images and real background images are used to train KFKT. Because KFKT can represent the higher order statistical properties of images, we expect better detection performance of KFKT than that of FKT. The well- devised experiments verify that KFKT outperforms FKT in detecting infrared small targets.