Circlet Transform for circle detection

The codes provided here is the implementation of the Circlet Transform (CT) proposed by Chauris et al [1], as well as, some demo showing the application of the CT. The CT is a state of the art and robust tool for detecting objects with circular patterns in which binary image segmentation is no longer needed.
The "Circlet Transform.pdf" file has been provided to intoduce Circlet Transform, briefly. More details about the application of the CT can be found in [2].
fdct2.m is the main function of implementation. The description of each file is provided within each file. In additon, three demo has been provided as below to show the application of the CT.
Demo_1_Shapes.m
Demo_2_Coins.m
Demo_3_coloredChips.m

[1] H. Chauris, I. Karoui, P. Garreau, H. Wackernagel, P. Craneguy, and L. Bertino, "The circlet transform: A robust tool for detecting features with circular shapes," Computers & Geosciences, vol. 37, pp. 331-342, 2011.
[2] O. Sarrafzadeh, A. Mehri, H. Rabbani, N. Ghane, A. Talebi, "Circlet based framework for red blood cells segmentation and counting", in Proc. IEEE Workshop on Signal Processing Systems, Hangzhou, China, Oct. 14-16, 2015.

** If you use any code provided here, please cite the following paper:
O. Sarrafzadeh, A. Mehri, H. Rabbani, N. Ghane, A. Talebi, "Circlet based framework for red blood cells segmentation and counting", in Proc. IEEE Workshop on Signal Processing Systems, Hangzhou, China, Oct. 14-16, 2015.