We introduce a family of rst-order multi-dimensional ordinary diierential equations (ODEs) with discontinuous right-hand sides and demonstrate their applicability in image processing. An equation belonging to this family is an inverse diiusion everywhere except at local extrema, where some stabilization is introduced. For this reason, we call these equations \stabilized inverse diiusion equatio...

The use of higher order approximations to the Radiative transport equation, through simplified spherical harmonics expansion (SPN) in optical tomography are presented. At higher orders, the image reconstruction becomes highly under-determined due to the large increase in the number of unknowns which cannot be adequately recovered. However, reconstruction of diffuse parameters, namely optical ab...

Abstract: Thee transform coding is a major block in any compression technique. Transform coding helps in decorrelating the input data and for energy compaction which are required to implement compression. DCT is standard transform used in JPEG image compression standard and DWT is used in JPEG2000image compression standard. The DHT is a transform which provides flexibility in terms of hardware ...

The deconvolution in image processing is an inverse illposed problem which necessitates a trade-off between delity to data and smoothness of a solution adjusted by a regularization parameter. In this paper we propose two techniques for selection of a varying regularization parameter minimizing the mean squared error for every pixel of the image. The rst algorithm uses the estimate of the square...

Image reconstruction using Diffuse Optical Tomography requires an accurate inverse model which is usually computationally expensive. We present a Jacobian reduction method which uses the magnitude of the sensitivity to reduce the Jacobian and reconstruct images without detriment to the final solution. 2007 Optical Society of America OCIS codes: (100.3190) Inverse problems; (170.3660) Light pro...

The technique of direct and inverse fuzzy (F-)transforms of three different types is introduced and approximating properties of the inverse F-transforms are described. A method of lossy image compression and reconstruction on the basis of the F-transform is presented.

Inverse problems: brief reminder. One of the main problems of data processing is the inverse problem: we observe the signal y after it has passed through some medium, and we want to reconstruct the original signal x (i.e., we want to reconstruct the original image x from the results y of astronomical measurements).

The technique of the direct and inverse fuzzy (F-) transform is introduced and approximating properties of the inverse F-transforms are described. A method of lossy image compression and reconstruction on the basis of F-transforms is illustrated on examples of pictures and music.

This paper deals with an inverse optimal H1 disturbance attenuation for the planar manipulators with the eye-in-hand system. The input-to-state stability control Lyapunov function (ISS-CLF) is constructed the full Lagrangian dynamics based on a potential function of the image feature parameter space. The ISS-CLF gives us an inverse optimalH1 control law. A proposed controller solves the inverse...

A method for photoacoustic tomography is presented that uses circular integrals of the acoustic wave for the reconstruction of a three-dimensional image. Image reconstruction is a two-step process: In the first step data from a stack of circular integrating are used to reconstruct the circular projection of the source distribution. In the second step the inverse circular Radon transform is appl...