Confidence Bands for Convex Median Curves using Sign-Tests

Suppose that one observes pairs (x1,Y1), (x2,Y2), ..., (xn,Yn), where x1 < x2 < ... < xn are fixed numbers while Y1, Y2, ..., Yn are independent random variables with unknown distributions. The only assumption is that Median(Yi) = f(xi) for some unknown convex or concave function f. We present a confidence band for this regression function f using suitable multiscale sign tests. While the exact computation of this band seems to require O(n4) steps, good approximations can be obtained in O(n2) steps. In addition the confidence band is shown to have desirable asymptotic properties as the sample size n tends to infinity.

Marshall's Lemma for Convex Density Estimation

Marshall's (1970) lemma is an analytical result which implies root-n-consistency of the distribution function corresponding to the Grenander (1956) estimator of a non-decreasing probability density. The present paper derives analogous results for the setting of convex densities on [0,\infty).

Calibration of a surgical microscope with automated zoom lenses using an active optical tracker

BACKGROUND: In this paper, we present a new method for the calibration of a microscope and its registration using an active optical tracker. METHODS: Practically, both operations are done simultaneously by moving an active optical marker within the field of view of the two devices. The IR LEDs composing the marker are first segmented from the microscope images. By knowing their corresponding three-dimensional (3D) position in the optical tracker reference system, it is possible to find the transformation matrix between the referential of the two devices. Registration and calibration parameters can be extracted directly from that transformation. In addition, since the zoom and focus can be modified by the surgeon during the operation, we propose a spline based method to update the camera model to the new setup. RESULTS: The proposed technique is currently being used in an augmented reality system for image-guided surgery in the fields of ear, nose and throat (ENT) and craniomaxillofacial surgeries. CONCLUSIONS: The results have proved to be accurate and the technique is a fast, dynamic and reliable way to calibrate and register the two devices in an OR environment.

Secondary intraocular lenses in eyes with aphakia or dislocated IOL: impact of suture fixation on early and late complications

BACKGROUND: Secondary intraocular lens (IOL) implantation is exposed to an increased risk of complications, including endophthalmitis and retinal detachment. The present analysis compares the outcomes and complications experienced in our own series of patients. PATIENTS AND METHODS: We retrospectively reviewed a consecutive series of secondary posterior chamber IOL implantations performed in a single centre, two surgeon setting over a period of 8 years and with a follow up-time of at least 4 months. RESULTS: Between 1997 and 2005, 75 patients received a sulcus-supported secondary IOL without suture fixation, whereas suture fixation was required in 137 instances. Visual acuity improved in both groups (group 1: from 0.36 +/- 0.39 (0.01-1.2) to 0.73 +/- 0.33 (0.02-1.0; p = 0.18); group 2: from 0.33 +/- 0.34 (0.02-1.0) to 0.46 +/- 0.33 (0.01-1.0; p = 0.006), but more pronounced in eyes not requiring suture fixation (p = 0.012). IOL placement was more likely to be combined with endophacoemulsification in the not suture-fixed IOLs (12.7 vs. 5.3 %). In contrast, retinal tears (10.6 vs. 8.6 %, respectively) and retinal detachment (5.3 vs. 2.2 %, respectively) were equally distributed. In the early postoperative phase, IOP was lower in suture-fixed eyes, which showed a higher incidence of minor intraocular haemorrhages and cystoid macular edema (5.3 vs. 8.0 %); late complications up to 5 years postoperatively were equally distributed. CONCLUSION: A preoperatively less complicated anterior segment situation and a lower incidence of postoperative macular edema may account for a better visual outcome after placement of a sulcus supported IOLs without suturing. If required, suture fixation may be performed without exposing the eye to an increased risk of late postoperative complications.

Late postoperative opacification of hydrogel intraocular lenses: analysis of 13 explanted lenses

PURPOSE: We report the clinical, morphological, and ultrastructural findings of 13 consecutively explanted opacified Hydroview(R) (hydrogel) intraocular lenses (IOLs). Our purpose was to provide a comprehensive account on the possible factors involved in late postoperative opacification of these IOLs. PATIENTS AND METHODS: Thirteen consecutive opacified hydrogel IOLs (Hydroview H 60 M, Bausch ; Lomb) were explanted due to the significant visual impairment they caused. The IOLs underwent macroscopical examination, transmission electron microscopy (TEM), scanning electron microscopy (SEM), energy-dispersive X-ray spectroscopy (EDS), and electrophoresis for protein detection. Three unused control Hydroview IOLs served for comparison. RESULTS: Macroscopical examination showed a diffuse or localized grey-whitish opacification within the IOL optic. TEM confirmed the presence of lesions inside the optic in all the explanted IOLs and revealed 3 patterns of deep deposits: a) diffuse, thick, granular, electron-dense ones; b) small, thin, lattice-like ones, with prominent electron-lucent areas; and c) elongated electron-dense formations surrounded by electron-lucent halos. SEM showed surface deposits on four IOLs. EDS revealed oxygen and carbon in all IOLs and documented calcium, phosphorus, silicon and/or iron in the deposits. Two of the patients with iron in their IOLs had eye surgery prior to their phacoemulsification. Iron correlated well with the second TEM pattern of deep lesions, whereas calcium with the third TEM pattern. No protein bands were detected on electrophoresis. Control lenses did not show any ultrastructural or chemical abnormality. CONCLUSIONS: The present study supports the presence of chemical alterations inside the polymer of the optic in late postoperative opacification of Hydroview IOLs. This opacification does not follow a unique pathway but may present under different ultrastructular patterns depending on the responsible factors. Mechanical stress during surgery may initiate a sequence of events where ions such as calcium, phosphorus, silicon, and/or iron, participate in a biochemical cascade that leads to gradual alteration of the polymer network. Intraocular inflammation due to previous operation may be a factor inducing opacification through increase of iron-binding capacity in the aqueous humour. Calcification accounts only partially for the opacification noted in this type of IOL.