We investigate an implicit method to compute a piecewise linear representation of a surface from a set of sample points. As implicit surface functions we use the weighted sum of piecewise linear kernel functions. For such a function we can partition Rd in such a way that these functions are linear on the subsets of the partition. For each subset in the partition we can then compute the zero lev...

In this paper we study the problem of reconstructing simultaneously a sequence of images in a dynamic PET study. In our algorithm we will make use of the fact that the morphology does not change by much between adjacent frames. Together with a total variation prior this will be shown to reduce the noise level considerably, without corrupting the individuality of the frames. Simulation results a...

Image reconstruction is a key component in many medical imaging modalities. The problem of image reconstruction can be viewed as a special inverse problem where the unknown image pixel intensities are estimated from the observed measurements. Since the measurements are usually noise contaminated, statistical reconstruction methods are preferred. In this paper we review some non-negatively const...

We provide a methodology for specifying a set of simultaneous (1 CY)% confidence intervals on the intensity of each image pixel for emission and transmission tomography. These intervals give a (1 a)% confidence region which, given a specific family of noise distributions, e.g. Gaussian or Poisson, is guaranteed to contain the actual image with probability at least 1 -a. This region is a "set es...

In a multi-secret sharing scheme, several secret values are distributed among a set of n participants.In 2000 Chien et al.'s proposed a (t; n) multi-secret sharing scheme. Many storages and publicvalues required in Chien's scheme. Motivated by these concerns, some new (t; n) multi-secret sharingschemes are proposed in this paper based on the Lagrange interpolation formula for polynomials andcip...

Let g be the isotropic Gaussian: •The representation distinguishes oriented point-sets: ψ· is injective from (R × Sd−1)∗ into L2(Rd). • It provides continuation of the normal field: ∇θψ is defined a.e. with isolated (possible) singularities near Voronoi boundaries. • It provides approximately linear composition: Given oriented point-sets S, T , ψS∪T ≈ ψS + ψT . •Given two oriented points satisf...

GE Healthcare, USA In a functional PET/MR study, it is difficult to get good temporal resolution of activity distribution from PET images because of the need to image for a certain length of time to get sufficient count statistics (image SNR). Time-of-flight (TOF) reconstruction can be used to increase PET images SNR and therefore increase the temporal resolution. Five patients were injected wi...

BACKGROUND In the literature on nipple-sparing mastectomy (NSM) with one-stage immediate implant reconstruction, contralateral symmetrisation has drawn little attention, with many surgeons still performing standard cosmetic mammaplasty procedures. However, standard implant-based mammaplasty usually does not result in proper symmetry with the mastectomy side, especially regarding breast projecti...

Chronic medial knee instability is frequently due to a combination of superficial medial collateral ligament (sMCL) and posterior oblique ligament (POL) insufficiency. We present a new technique for simultaneous anatomical reconstruction of sMCL and POL, using an anterior tibialis tendon allograft with three reconstruction tunnels.

in a multi-secret sharing scheme, several secret values are distributed among a set of n participants.in 2000 chien et al.'s proposed a (t; n) multi-secret sharing scheme. many storages and publicvalues required in chien's scheme. motivated by these concerns, some new (t; n) multi-secret sharingschemes are proposed in this paper based on the lagrange interpolation formula for polynomials andcip...