background: volume estimation of brain is important for many neurological applications. it is necessary in measuring brain growth and changes in brain in normal/abnormal patients. thus, accurate brain volume measurement is very important. magnetic resonance imaging (mri) is the method of choice for volume quantification due to excellent levels of image resolution and between-tissue contrast. st...

Image inpainting is a technique of filling unknown image region with known information from the surrounding of the unknown region in such a way that the result is logically accepted. Texture and structure completion in inpainting method is the main challenge in image inpainting and it is still an open problem to be tackled in the near future. In this paper, we propose a new inpainting algorithm...

Let p be a sufficiently large prime and A be a sum-free subset of Z/pZ; improving on a previous result of V. F. Lev, we show that if |A| = card(A) > 0.324p, then A is contained in a dilation of the interval [|A| , p− |A|] (mod. p).

Given a d× d expansive dilation matrix D, a measurable set E ⊂ R d is called a Dt-dilation generator of Rd if Rd is tiled (modulo null sets) by the collection {(Dt)jE, j ∈ Z}. Our main goal in this paper is to prove certain results relating the support of the Fourier transform of functions generating a wavelet or orthonormal affine system associated with the dilation D to an arbitrary set E whi...

A multiscale morphological dilation-erosion smoothing operation and its associated scale-space expansion for multidimensional signals are proposed. Properties of this smoothing operation are developed and, in particular a scale-space monotonic property for signal extrema is demonstrated. Scale-space ngerprints from this approach have advantages over Gaussian scale-space ngerprints in that they:...

The run-length coding and the morphological representation are two classical schemes for wavelet image coding. The run-length coders have the advantage of simplicity by recording the lengths of zero-runs between significant wavelet coefficients but at the expense of yielding an inferior rate-distortion performance. The morphology-based coders, on the other hand, utilize the morphological dilati...

This paper presents the operation of tangential dilation, which describes the touching of differentiable surfaces. It generalizes the classical dilation, but is invertible. It is shown that line segments are eigenfunctions of this dilation, and are parallel transported, and that curvature is additive. We then present the slope transform which provides tangential morphology with the analytical p...

endourologic pyeloplasty is being a substitute of open pyeloplasty in management of ureteropelvic junction obstruction. this procedure can be done in different manners like balloon dilation, cold knife and electrosurgical endoureterotomy, accucise and lasers.a 47 year old woman referred with history of previous open pyeloplasty. hydronephrosis of right kidney with unremarkable t ½ was found in ...

We present a general dilation scheme for quantum instruments with continuous outcome space in finite dimensions, in terms of an indirect POVM measurement performed on a finite dimensional ancilla. The general result is then applied to a large class of instruments generated by operator frames, which contains group-covariant instruments as a particular case, and allows one to construct dilation s...