Regularized iterative and non-iterative procedures for object restoration from experimental data

A regularized algorithm for the recovery of band-limited signals from noisy data is described. The regularization is characterized by a single parameter. Iterative and non-iterative implementations of the algorithm are shown to have useful properties, the former offering the advantage of flexibility and the latter a potential for rapid data processing. Comparative results, using experimental data obtained in laser anemometry studies with a photon correlator, are presented both with and without regularization. © 1983 Taylor & Francis Ltd.

Regularized iterative and noniterative procedures for object restoration in the presence of noise :an error analysis

An analysis is carried out, using the prolate spheroidal wave functions, of certain regularized iterative and noniterative methods previously proposed for the achievement of object restoration (or, equivalently, spectral extrapolation) from noisy image data. The ill-posedness inherent in the problem is treated by means of a regularization parameter, and the analysis shows explicitly how the deleterious effects of the noise are then contained. The error in the object estimate is also assessed, and it is shown that the optimal choice for the regularization parameter depends on the signal-to-noise ratio. Numerical examples are used to demonstrate the performance of both unregularized and regularized procedures and also to show how, in the unregularized case, artefacts can be generated from pure noise. Finally, the relative error in the estimate is calculated as a function of the degree of superresolution demanded for reconstruction problems characterized by low space–bandwidth products.

Laparoscopic Appendectomy in Italy: An Appraisal of 26,863 Cases

Objective: To evaluate the practice of laparoscopic appendectomy (LA) in Italy. Methods: On behalf of the Italian Society of Young Surgeons (SPIGC), an audit of LA was carried out through a written questionnaire sent to 800 institutions in Italy. The questions concerned the diffusion of laparoscopic surgery and LA over the period 1990 through 2001, surgery-related morbidity and mortality rates, indications for LA, the diagnostic algorithm adopted prior to surgery, and use of LA among young surgeons (<40 years). Results: A total of 182 institutions (22.7%) participated in the current audit, and accounted for a total number of 26863 LA. Laparoscopic surgery is performed in 173 (95%) institutions, with 144 (83.2%) routinely performing LA. The mean interval from introduction of laparoscopic surgery to inception of LA was 3.4 ± 2.5 years. There was an emergent basis for 8809 (32.8%) LA procedures (<6 hours of admission); 10314 (38.4%) procedures were performed on an urgent basis (<24 hours of admission); while 7740 (28.8%) procedures were elective. The conversion rate was 2.1% (561 cases) and was due to intraoperative complications in 197 cases (35.1%). Intraoperative complications ranged as high as 0.32%, while postoperative complications were reported in 1.2% of successfully completed LA. The mean hospital stay for successfully completed LA was 2.5 ± 1.05 days. The highest rate of intraoperative complications was reported as occurring during the learning curve phase of their experience (in their first 10 procedures) by 39.7% of the surgeons. LA was indicated for every case of suspected acute appendiceal disease by 51.8% of surgeons, and 44.8% order abdominal ultrasound (US) prior to surgery. A gynecologic counseling is deemed necessary only by 34.5% surgeons, while an abdominal CT scan is required only by 1.5%. The procedure is completed laparoscopically in the absence of gross appendiceal inflammation by 83%; 79.8% try to complete the procedure laparoscopically in the presence of concomitant disease; while 10.4% convert to open surgery in cases of suspected malignancy. Of responding surgeons aged under 40, 76.3% can perform LA, compared to 47.3% surgeons of all age categories. Conclusions: The low response rate of the present survey does not allow us to assess the diffusion of LA in Italy, but rather to appraise its practice in centers routinely performing laparoscopic surgery. In the hands of experienced surgeons, LA has morbidity rates comparable to those of international series. The higher diagnostic yield of laparoscopy makes it an invaluable tool in the management algorithm of women of childbearing age; its advantages in the presence of severe peritonitis are less clear-cut. Surgeons remain the main limiting factor preventing a wider diffusion of LA in our country, since only 47.3% of surgeons from the audited institutions can perform LA on a routine basis.