Paper Info
Title
The dynamics of image processing viewed as deformation of elastic sheet
Abstract
Diffusion-type algorithms have been integrated successfully into the toolbox used in image processing and computer vision. We introduce in the context of digital signal and image processing a new more flexible and powerful family of parabolic-hyperbolic partial differential equations (PDEs) that somewhat resembles the structure of the parabolic diffusion equation, but incorporates the second order derivative in time. It is instructive intuitively to consider in this context the dynamics of image processing as the deformation of an 'elastic sheet'. Indeed, our parabolic-hyperbolic PDE models elastic deformation. This analogy between a well-known physical system and process on one hand, and the dynamics of an image processing scheme on the other hand, contributes interesting and important insight about images and their processing. We explore and demonstrate the capabilities and advantages afforded by the application of the proposed family of equations in image enhancement. Efficient numeric schemes are also presented.
Year
DOI
Venue
2009
10.1109/ICDSP.2009.5201190
DSP'09 Proceedings of the 16th international conference on Digital Signal Processing
Keywords
DocType
Citations 
parabolic-hyperbolic partial differential equation,proposed family,powerful family,diffusion-type algorithm,elastic sheet,image processing,elastic deformation,parabolic-hyperbolic pde model,image enhancement,image processing scheme,signal processing,pde,partial differential equations,psnr,hyperbolic equation,hyperbolic pde,physical system,hyperbolic partial differential equation,parabolic equations,hyperbolic equations,signal and image processing,physics,diffusion equation,denoising,mathematical model,computer vision,noise reduction,second order,digital signal processing
Conference
0
PageRank 
References 
Authors
0.34
12
2
Name
Order
Citations
PageRank
Vadim Ratner1127.20
Yehoshua Y. Zeevi2610248.69