On convergence of transforms based on parabolic scaling

This thesis studies properties of transforms based on parabolic scaling, like Curvelet-, Contourlet-, Shearlet- and Hart-Smith-transform. Essentially, two di erent questions are considered: How these transforms can characterize H older regularity and how non-linear approximation of a piecewise smooth function converges. In study of Hölder regularities, several theorems that relate regularity of a function f : R2 → R to decay properties of its transform are presented. Of particular interest is the case where a function has lower regularity along some line segment than elsewhere. Theorems that give estimates for direction and location of this line, and regularity of the function are presented. Numerical demonstrations suggest also that similar theorems would hold for more general shape of segment of low regularity. Theorems related to uniform and pointwise Hölder regularity are presented as well. Although none of the theorems presented give full characterization of regularity, the su cient and necessary conditions are very similar. Another theme of the thesis is the study of convergence of non-linear M ─term approximation of functions that have discontinuous on some curves and otherwise are smooth. With particular smoothness assumptions, it is well known that squared L2 approximation error is O(M-2(logM)3) for curvelet, shearlet or contourlet bases. Here it is shown that assuming higher smoothness properties, the log-factor can be removed, even if the function still is discontinuous.

Visual measurement of laser-arc hybrid welding

Tässä työssä raportoidaan hybridihitsauksesta otettujen suurnopeuskuvasarjojen automaattisen analyysijärjestelmän kehittäminen.Järjestelmän tarkoitus oli tuottaa tietoa, joka avustaisi analysoijaa arvioimaan kuvatun hitsausprosessin laatua. Tutkimus keskittyi valokaaren taajuuden säännöllisyyden ja lisäainepisaroiden lentosuuntien mittaamiseen. Valokaaria havaittiin kuvasarjoista sumean c-means-klusterointimenetelmän avullaja perättäisten valokaarien välistä aikaväliä käytettiin valokaaren taajuuden säännöllisyyden mittarina. Pisaroita paikannettiin menetelmällä, jossa yhdistyi pääkomponenttianalyysi ja tukivektoriluokitin. Kalman-suodinta käytettiin tuottamaan arvioita pisaroiden lentosuunnista ja nopeuksista. Lentosuunnanmääritysmenetelmä luokitteli pisarat niiden arvioitujen lentosuuntien perusteella. Järjestelmän kehittämiseen käytettävissä olleet kuvasarjat poikkesivat merkittävästi toisistaan kuvanlaadun ja pisaroiden ulkomuodon osalta, johtuen eroista kuvaus- ja hitsausprosesseissa. Analyysijärjestelmä kehitettiin toimimaan pienellä osajoukolla kuvasarjoja, joissa oli tietynlainen kuvaus- ja hitsausprosessi ja joiden kuvanlaatu ja pisaroiden ulkomuoto olivat samankaltaisia, mutta järjestelmää testattiin myös osajoukon ulkopuolisilla kuvasarjoilla. Testitulokset osoittivat, että lentosuunnanmääritystarkkuus oli kohtuullisen suuri osajoukonsisällä ja pieni muissa kuvasarjoissa. Valokaaren taajuuden säännöllisyyden määritys oli tarkka useammassa kuvasarjassa.

Health Related Quality of Life after Childhood Cancer - A Finnish Nationwide survey

The purpose of this Finnish epidemiological nationwide cross-sectional study was to evaluate the Health Related Quality of Life (HRQL) of young people that have survived childhood cancer at least four years after cancer diagnosis. The study aims were (1) to increase knowledge and understanding about the relationship between childhood cancer and its treatment and HRQL of childhood cancer survivors and (2) to identify survivors who need and could benefit from ongoing long-term follow-up, as well as (3) to identify what kind of aftercare the childhood cancer survivors will possibly need. HRQL and fatigue of currently still young survivors of extracranial childhood malignancies were evaluated with self-reports and parent proxy reports. HRQL was measured with age-appropriate generic instruments: PedsQL™, SF-36, 15D, 16D and 17D. Fatigue for children and adolescents aged below 18 years was measured with the PedsQL™ Multidimensional Fatigue Scale Finnish version. PedsQL™ parent-proxy and the PedsQL™ Multidimensional Fatigue Scale Parentproxy instruments were used to assess the perception of the parents on HRQL and fatigue of their children and adolescents. Postal-survey questionnaires were mailed to 852 childhood cancer survivors aged 11-27 years and their randomly selected gender-, age and living-place matched controls, as well as under 18-year-old children´s parents. A total of 474 survivors, 595 controls, 209 survivor’s parent and 253 control’s parent replied. The mean age of survivors at the time of the study was 18.4 years. The mean length of survival was 12.3 years, and the mean age at diagnosis 5.5 years. The most of the Finnish childhood cancer survivors evaluated that their HRQL as good. Survivors rated their HRQL equal or higher than their controls. The only dimension where the survivors scored poorer than the controls was the 15D mobility dimension. Survivors of childhood cancer did not suffer from significant fatigue. There were subgroups of childhood cancer survivors who had poorer level of HRQL, and suffered from fatigue more than the reference group. The demographic factors that associated with poorer HRQL were female gender, greater weight, living alone, need of remedial education, an additional non-cancer diagnosis, survivors with siblings, and self-reported unhappiness. Disease-related factors that associated with poorer HRQL were higher age at the time of diagnosis, the diagnosis of Wilms tumor, neuroblastoma, or osteosarcoma, and treatment with stem cell transplantation. The factors associated with more fatigue in survivors were male gender, older age at evaluation, the need of remedial education at school, lower overall average grade in the latest school marks report, length of survival more than 10 years, lower HRQL-scores, and a sarcoma diagnosis. However, all the used demographic and disease related factors explained only about one third of the variation in the HRQL scores. In open questions, the survivors were most worried about their physical health, but were also worried about their mental health, cancer inheritance, late-effects, and fertility and relapse issues. It seems that there are subgroups of survivors who need and could benefit from ongoing long-term follow-up. In the future, the survivors of childhood cancer need more information about their physical and mental health, as well as on their cancer inheritance, possible late-effects including fertility issues, and on the risk of relapse.