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- Baravdish, George, et al.
(author)
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Damped second order flow applied to image denoising
- 2019
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In: IMA Journal of Applied Mathematics. - : Oxford University Press. - 0272-4960 .- 1464-3634. ; 84:6, s. 1082-1111
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Journal article (peer-reviewed)abstract
- In this paper, we introduce a new image denoising model: the damped flow (DF), which is a second order nonlinear evolution equation associated with a class of energy functionals of an image. The existence, uniqueness and regularization property of DF are proven. For the numerical implementation, based on the Störmer–Verlet method, a discrete DF, SV-DDF, is developed. The convergence of SV-DDF is studied as well. Several numerical experiments, as well as a comparison with other methods, are provided to demonstrate the efficiency of SV-DDF.
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| 2. |
- Ludvigsson, Jonas F., 1969-, et al.
(author)
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Maternal Glycemic Control in Type 1 Diabetes and the Risk for Preterm Birth : A Population-Based Cohort Study
- 2019
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In: Annals of Internal Medicine. - : American College of Physicians. - 0003-4819 .- 1539-3704. ; 170:10, s. 691-701
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Journal article (peer-reviewed)abstract
- Background: Maternal type 1 diabetes (T1D) has been linked to preterm birth and other adverse pregnancy outcomes. How these risks vary with glycated hemoglobin (or hemoglobin A(1c) [HbA(1c)]) levels is unclear.Objective: To examine preterm birth risk according to periconceptional HbA(1c) levels in women with T1D.Design: Population-based cohort study.Setting: Sweden, 2003 to 2014.Patients: 2474 singletons born to women with T1D and 1 165 216 reference infants born to women without diabetes.Measurements: Risk for preterm birth (< 37 gestational weeks). Secondary outcomes were neonatal death, large for gestational age, macrosomia, infant birth injury, hypoglycemia, respiratory distress, 5-minute Apgar score less than 7, and stillbirth. Results: Preterm birth occurred in 552 (22.3%) of 2474 infants born to mothers with T1D versus 54 287 (4.7%) in 1 165 216 infants born to mothers without diabetes. The incidence of preterm birth was 13.2% in women with a periconceptional HbA(1c) level below 6.5% (adjusted risk ratio [aRR] vs. women without T1D, 2.83 [95% CI, 2.28 to 3.52]), 20.6% in those with a level from 6.5% to less than 7.8% (aRR, 4.22 [CI, 3.74 to 4.75]), 28.3% in those with a level from 7.8% to less than 9.1% (aRR, 5.56 [CI, 4.84 to 6.38]), and 37.5% in those with a level of 9.1% or higher (aRR, 6.91 [CI, 5.85 to 8.17]). The corresponding aRRs for medically indicated preterm birth (n = 320) were 5.26 (CI, 3.83 to 7.22), 7.42 (CI, 6.21 to 8.86), 11.75 (CI, 9.72 to 14.20), and 17.51 (CI, 14.14 to 21.69), respectively. The corresponding aRRs for spontaneous preterm birth (n = 223) were 1.81 (CI, 1.31 to 2.52), 2.86 (CI, 2.38 to 3.44), 2.88 (CI, 2.23 to 3.71), and 2.80 (CI, 1.94 to 4.03), respectively. Increasing HbA(1c) levels were associated with the study's secondary outcomes: large for gestational age, hypoglycemia, respiratory distress, low Apgar score, neonatal death, and stillbirth.Limitation: Because HbA(1c) levels were registered annually at routine visits, they were not available for all pregnant women with T1D.Conclusion: The risk for preterm birth was strongly linked to periconceptional HbA(1c) levels. Women with HbA(1c) levels consistent with recommended target levels also were at increased risk. Primary Funding Source: Swedish Diabetes Foundation.
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