TY - GEN
T1 - Fast hypercomplex polar Fourier analysis for image processing
AU - Yang, Zhuo
AU - Kamata, Sei Ichiro
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2011
Y1 - 2011
N2 - Hypercomplex polar Fourier analysis treats a signal as a vector field and generalizes the conventional polar Fourier analysis. It can handle signals represented by hypercomplex numbers such as color images. It is reversible that can reconstruct image. Its coefficient has rotation invariance property that can be used for feature extraction. With these properties, it can be used for image processing applications like image representation and image understanding. However in order to increase the computation speed, fast algorithm is needed especially for image processing applications like realtime systems and limited resource platforms. This paper presents fast hypercomplex polar Fourier analysis that based on symmetric properties and mathematical properties of trigonometric functions. Proposed fast hypercomplex polar Fourier analysis computes symmetric eight points simultaneously that significantly reduce the computation time.
AB - Hypercomplex polar Fourier analysis treats a signal as a vector field and generalizes the conventional polar Fourier analysis. It can handle signals represented by hypercomplex numbers such as color images. It is reversible that can reconstruct image. Its coefficient has rotation invariance property that can be used for feature extraction. With these properties, it can be used for image processing applications like image representation and image understanding. However in order to increase the computation speed, fast algorithm is needed especially for image processing applications like realtime systems and limited resource platforms. This paper presents fast hypercomplex polar Fourier analysis that based on symmetric properties and mathematical properties of trigonometric functions. Proposed fast hypercomplex polar Fourier analysis computes symmetric eight points simultaneously that significantly reduce the computation time.
KW - Fourier analysis
KW - fast hypercomplex polar Fourier analysis
KW - hypercomplex polar Fourier analysis
UR - http://www.scopus.com/inward/record.url?scp=82155166448&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=82155166448&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-25346-1_13
DO - 10.1007/978-3-642-25346-1_13
M3 - Conference contribution
AN - SCOPUS:82155166448
SN - 9783642253454
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 141
EP - 148
BT - Advances in Image and Video Technology - 5th Pacific Rim Symposium, PSIVT 2011, Proceedings
T2 - 5th Pacific-Rim Symposium on Video and Image Technology, PSIVT 2011
Y2 - 20 November 2011 through 23 November 2011
ER -