Two-dimensional wavelet processor (original) (raw)
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Two-dimensional wavelet transform by wavelength multiplexing
Applied Optics, 1996
The wavelet transform is a useful tool for data compression, analysis of short transient pulses, optical correlators, etc. This transform was obtained optically by the use of the spatial or temporal multiplexing approaches. A two-dimensional wavelet transform is obtained with only one spatial channel. The information of the different scalings is carried in different wavelengths and summed incoherently at the output plane. Laboratory experimental results are demonstrated.
Optical Wavelet Transform Processor
1993
Abstract: In this report we outline a time-integrating hybrid-optical processor to perform the wavelet transform of two dimensional spatial or spectral data. This architecture partitions the optical/electronic workload for most general and efficient operation. This processor ...
Journal of The Optical Society of America A-optics Image Science and Vision - J OPT SOC AM A-OPT IMAGE SCI, 2001
We present a novel method for achieving in real time a two-dimensional optical wavelet decomposition with white-light illumination. The underlying idea of the suggested method is wavelength multiplexing. The information in the different wavelet components of an input object is transmitted simultaneously in different wavelengths and summed incoherently at the output plane. Experimental results show the utility of the new proposed method.
IEEE Transactions on Signal Processing, 1999
The discrete wavelet transform is currently attracting much interest among researchers and practitioners as a powerful tool for a wide variety of digital signal and imaging processing applications. This correspondence presents an efficient approach to compute the twodimensional (2-D) discrete wavelet transform in standard form on parallel general-purpose computers. This approach does not require transposition of intermediate results and avoids interprocessor communication. Since it is based on matrix-vector multiplication, our technique does not introduce any restriction on the size of the input data or on the transform parameters. Complete use of the available processor parallelism, modularity, and scalability are achieved. Theoretical and experimental evaluations and comparisons are given with respect to traditional parallelization.
Hardware Architecture for the Implementation of the Discrete Wavelet Transform in two Dimensions
Ingeniería y Competitividad, 2014
Resumen El artículo presenta una arquitectura hardware que desarrolla la transformada Wavelet en dos dimensiones sobre una FPGA, en el diseño se buscó un balance entre número de celdas lógicas requeridas y la velocidad de procesamiento. El artículo inicia con una revisión de trabajos previos, después se presentan los fundamentos teóricos de la transformación, posteriormente se presenta la arquitectura propuesta seguida por un análisis comparativo. El sistema se implementó en la FPGA Ciclone II EP2C35F672C6 de Altera utilizando un diseño soportado en el sistema Nios II.
VLSI design and implementation of 2-D Inverse Discrete Wavelet Transform
2002 11th European Signal Processing Conference, 2002
This paper proposes a JPEG-2000 compliant architecture capable of computing the 2 -D Inverse Discrete Wavelet Transform. The proposed architecture uses a single processor and a row-based schedule to minimize control and routing complexity and to ensure that processor utilization is kept at 100%. The design incorporates the handling of borders through the use of symmetric extension. The architecture has been implemented on the Xilinx Virtex 2 FPGA.
Optical wavelet transform by the phase-only joint-transform correlator
Applied Optics, 1996
A method is presented that performs the optical wavelet transform with liquid-crystal televisions as spatial light modulators operating only on the phase of the incident coherent light. The architecture is the joint-transform correlator, and the wavelets and the image to be transformed are encoded in the input plane of the system. The mathematical formalism describing the adaptation of the jointtransform correlator to the wavelet transform is given and extended to the operation of the phase-only joint-transform correlator. A new wavelet is described for two-dimensional image processing, and experimental results are presented for optical wavelet transforms done in real time by use of this wavelet in the phase-only joint-transform-correlator architecture. The analysis is extended to multiwavelet 1multispectral2 analysis by the joint-transform correlator, and simulation results are given. Finally, experimental results with the phase-only joint-transform correlator applied to multiwavelet analysis are presented.
Real-time optical 2D wavelet transform based on the JPEG2000 standards
The European Physical Journal Applied Physics, 2008
In image processing, the Wavelet Transform (WT) is largely used. However, time requirements for large two-dimensional image transforms are hard to meet with sequential implementations. Parallel implementation decreases the processing time and allows to reach a real-time operation in image coding. Unfortunately, this parallel coding increases the hardware complexity. We propose an optical implementation of the JPEG2000 compression using a special implementation of the WT. Special attention is paid to propose a simple all optical setup carrying out the optical implementation of JPEG2000 compression for gray-level images. Finally, an adaptation of our technique to colored images is proposed.