Deconvolution & Unfolding: An Alternative Perspective

Delve into the fascinating world of deconvolution and unfolding, two powerful mathematical techniques used to extract meaningful information from data obscured by a known process. Deconvolution and Unfolding: An Alternative Perspective takes you on a comprehensive journey through these techniques, exploring their applications in diverse fields such as image processing, signal processing, spectroscopy, and geophysics.

Deconvolution, the process of recovering a signal from its convolution with a known function, is essential in image processing for removing blur caused by camera motion or lens imperfections. It also plays a crucial role in signal processing for recovering signals distorted by noise or interference.

Unfolding, on the other hand, involves recovering a function from its convolution with a known operator. This technique finds extensive use in spectroscopy to extract the underlying spectrum of a sample from the instrument’s response function. It is also employed in geophysics to recover the Earth’s subsurface structure from seismic data.

While both deconvolution and unfolding are powerful tools, they are also ill-posed problems, meaning that there is no unique solution and the solution is sensitive to noise and errors in the data. To obtain stable and meaningful solutions, regularization techniques are often used.

Deconvolution and Unfolding: An Alternative Perspective provides a thorough exploration of these regularization techniques, explaining their mechanisms and guiding readers in choosing the most appropriate technique for their specific problem.

With its comprehensive coverage of deconvolution and unfolding, this book is an invaluable resource for researchers, engineers, and practitioners in various fields. It offers a unique perspective that sets it apart from existing literature, making it an essential guide for anyone seeking to delve deeper into these fascinating techniques.

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Publisher ‏: ‎ PageBook24.com (January 13, 2025)
Language : ‎ English
Dimensions ‏: ‎ 6 x 9 inches
Pages ‏: ‎ 209 pages

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