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Publication Details

Applicant:
Central University of Tamil Nadu 
Author:
Lakshmanan Akila, Rajakumar Roopkumar 
Corresponding Authors:
Rajakumar Roopkumar 
DOI #:
10.1016/j.ijleo.2016.11.011 
Title:
Quaternionic curvelet transform 
Journal:
Optik 
Year:
2017 
Volume:
131 
Page:
255-266 
Keywords:
Curvelet transform, Quaternion-valued functions, Convolution, Boehmians 
Abstract:
In this paper, we extend the continuous curvelet transform to the space of quaternion valued functions using convolution. We prove that the quaternionic curvelet transform is consistent with the continuous curvelet transform of complex valued functions. Also it satisfies the inversion formula, Parseval’s formula and linearity property. Finally, we derive a convolution theorem for quaternionic curvelet transform and extend it to a suitable Boehmian space. 
Entered by:
Roopkumar Rajakumar on 2020-09-01 
 
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