@article{ac537bcb67ea4bb08e024d90724e968c,
title = "Development of Deep Learning Framework for Mathematical Morphology",
abstract = "Mathematical morphology has been applied as a collection of nonlinear operations related to object features in images. In this paper, we present morphological layers in deep learning framework, namely MorphNet, to perform atomic morphological operations, such as dilation and erosion. For propagation of losses through the proposed deep learning framework, we approximate the dilation and erosion operations by differential and smooth multivariable functions of the softmax function, and therefore enable the neural network to be optimized. The proposed operations are analyzed by the derivative of approximation functions in the deep learning framework. Experimental results show that the output structuring element of a morphological neuron and the target structuring element are matched to confirm the efficiency and correctness of the proposed framework.",
keywords = "Mathematical morphology, autoencoder, convolutional network, deep learning",
author = "Shih, {Frank Y.} and Yucong Shen and Xin Zhong",
note = "Funding Information: He is presently a professor in the Department of Computer Science, New Jersey Institute of Technology, Newark, New Jersey. He is also the Director of Arti¯cial Intelligence and Computer Vision Laboratory. Dr. Shih held a visiting professor position at Princeton University, Columbia University, National Taiwan University, National Institute of Informatics, Tokyo, Conservatoire National Des Arts Et Metiers, Paris, and Nanjing University of Information Science and Technology, China. He is an internationally renowned scholar and currently serves as the Editor-in-Chief for the International Journal of Pattern Recognition and Arti¯cial Intelligence. He was the Editor-in-Chief for the International Journal of Multimedia Intelligence and Security. Dr. Shih is on the editorial board of Pattern Recognition, the International Journal of Pattern Recognition and Arti¯cial Intelligence, Journal of Information Hiding and Multimedia Signal Processing, Recent Patents on Engineering, Recent Patents on Computer Science, The Open Nanoscience Journal, the International Journal of Internet Protocol Technology, the Journal of Internet Technology, ISRN Signal Processing, and ISRN Machine Vision. He has served as a steering member, committee member, and session chair for numerous professional conferences and workshops. He has received numerous grants from National Science Foundation, Navy and Air Force, and Industry. He was the recipient of Research Initiation Award of NSF and Board of Overseers Excellence in Research Award of NJIT. Publisher Copyright: {\textcopyright} 2019 World Scientific Publishing Company.",
year = "2019",
month = jun,
day = "15",
doi = "10.1142/S0218001419540247",
language = "English (US)",
volume = "33",
journal = "International Journal of Pattern Recognition and Artificial Intelligence",
issn = "0218-0014",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "6",
}