A subdivision procedure is developed to solve a C 2 Hermite interpolation problem with the further request of preserving the shape of the initial data. We consider a specific non-stationary and non-uniform variant of the Merrien HC 2 subdivision family, and we provide a data dependent strategy to select the related parameters which ensures convergence and shape preservation for any set of initial monotone and/or convex data. Each step of the proposed subdivision procedure can be regarded as the midpoint evaluation of an interpolating function-and of its first and second derivatives-in a suitable space of C 2 functions of dimension 6 which has tension properties. The limit function of the subdivision procedure is a C 2 piecewise quintic polynomial interpolant.

(1) Background: This narrative review aimed to analyze the epidemiological, clinical, surgical, prognostic, and instrumental aspects of the link between pelvic organ prolapse (POP) and lower urinary tract symptoms (LUTS), collecting the most recent evidence from the scientific literature. (2) Methods: We matched the terms “pelvic organ prolapse” (POP) and “lower urinary tract symptoms” (LUTS) on the following databases: Pubmed, Embase, Scopus, Google scholar, and Cochrane. We excluded case reports, systematic reviews, articles published in a language other than English, and studies focusing only on a surgical technique. (3) Results: There is a link between POP and LUTS. Bladder outlet obstruction (BOO) would increase variation in bladder structure and function, which could lead to an overactive bladder (OAB). There is no connection between the POP stage and LUTS. Prolapse surgery could modify the symptoms of OAB with improvement or healing. Post-surgical predictive factors of non-improvement of OAB or de novo onset include high BMI, neurological pathologies, age > 65 years, and the severity of symptoms; predictors of emptying disorders are neurological pathologies, BOO, perineal dysfunctions, severity of pre-surgery symptoms, and severe anterior prolapse. Urodynamics should be performed on a specific subset of patients (i.e., stress urinary incontinence, correct surgery planning), (4) Conclusions: Correction of prolapse is the primary treatment for detrusor underactivity and for patients with both POP and OAB.