Triangulation is used in a wide range of applications of position estimation. Usually it is donebymeasuring angles by hand to estimate positions in land surveying, navigation and astronomy.Withthe rise of image recognition arises the possibility to triangulate automatically. The aim ofthis thesisis to use the image recognition camera Pixy2 to triangulate a target i threedimensions. It is basedon previous projects on the topic to extend the system to estimatepositions over a larger spaceusing more Pixy2s. The setup used five Pixy2s with pan-tilt kitsand one Raspberry Pi 4 B. Somelimitations to the hardware was discovered, limiting the extentof the space in which triangulationcould be successfully performed. Furthermore, there weresome issues with the image recognitionalgorithm in the environment positioning was performed.The thesis was successful in that it managesto triangulate positions over a larger area thanprevious projects and in all three dimensions. Thesystem could also follow a target’s trajectory,albeit, there were some gaps in the measurements.

In the representation of scattered data by smooth pp (:= piecewise polynomial) functions, perhaps the most important problem is to find an optimal triangulation of the given sample sites (called vertices). Of course, the notion of optimality depends on the desirable properties in the approximation or modeling problems. In this paper, we are concerned with optimal approximation order with respect to the given order r of smoothness and degree k of the polynomial pieces of the smooth pp functions. We will only consider C1 pp approximation with r = 1 and k = 4. The main result in this paper is an efficient method for triangulating any finitely many arbitrarily scattered sample sites, such that these sample sites are the only vertices of the triangulation, and that for any discrete data given at these sample sites, there is a C1 piecewise quartic polynomial on this triangulation that interpolates the given data with the fifth order of approximation.

In this article, we study the construction of piecewise linear prewavelets over type-2 triangulations. Different from a so-called semi-prewavelet approach, we investigate the orthogonal conditions directly and obtain parameterized prewavelets with a smaller support. The conditions for parameterized prewavelet basis on the parameters are also given.

In this paper, we discuss the algebraic structure of bivariate C 1 cubic spline spaces over nonuniform type-2 triangulation and its subspaces with boundary conditions. The dimensions of these spaces are determined and their local support bases are constructed.

This document focuses on stereoscopic vision, machine vision and 3D scene reconstruction. First we create mathematic framework which is later used to determine solution for problems appearing during creation of scene reconstruction application.

The problem of generating a surface triangulation from a set of points with normal information arises in several mesh processing tasks like surface reconstruction or surface resampling. In this paper we present a surface triangulation approach which is based on local 2d delaunay triangulations in tangent space. Our contribution is the extension of this method to surfaces with sharp corners and creases. We demonstrate the robustness of the method on difficult meshing problems that include nearby sheets, self intersecting non manifold surfaces and noisy point samples.

The problem of generating a surface triangulation from a set of points with normal information arises in several mesh processing tasks like surface reconstruction or surface resampling. In this paper we present a surface triangulation approach which is based on local 2d delaunay triangulations in tangent space. Our contribution is the extension of this method to surfaces with sharp corners and creases. We demonstrate the robustness of the method on difficult meshing problems that include nearby sheets, self intersecting non manifold surfaces and noisy point samples.

This study presents qualitative research examining the relationship youth have with television. Information for this study was collected through media journals, personal essays, in-depth interviews, and focus groups held with eighteen sixth-graders who attended a charter elementary school in Lindon, Utah. The question posed to the students multiple times during the data collection was: “Would you give up television for $1 million?” Through the students’ answers and ensuing dialogue, the researcher examined the social value the pre-adolescents attributed to watching television. The findings identify three main categories the students said were reasons they were attached to television, which also corresponded adolescent-needs that have been identified by scholars. The categories are 1) youth need friendship and television offers potential to develop parasocial relationships 2) youth need intimacy and television is an activity they can do with and talk about with friends and 3) youth need to learn about the new group they’re being socialized into and television offers portrayals of future situations. The study also includes ideas about why television is so valuable to the youth; it concludes with suggestions for future research, including expanding this research to other demographics, and recommendations for parents and school teachers, including media literacy and parental mediation.

This study explored the extent of triangulation between elderly people and their adult children, and examines the relationship of triangulation with marital and individual outcomes such as problem solving, negative affective communication, time spent together, intimacy, depression, and marital satisfaction. Triangulation between adult children and elderly parents was found to be strongly related with negative outcomes for elderly parents in each of the dependent variables.

Previous research has demonstrated that cooperation and support between parents, called the parental alliance, is an important predictor of parent and child well-being. Consequently, it is important to understand what factors promote the formation of a strong parental alliance. Because of research on the impact of attachment security on individuals' abilities to depend and rely on others and to appropriately manage conflict, partner attachment is a potential predictor of the parental alliance, with insecure attachment negatively weakening the parental alliance. This study analyzed data from 321 couples to examine the relationship between partner attachment and the parental alliance. Using the Actor Partner Interdependence Model, results indicated that attachment was significantly associated with parental alliance scores for both husbands and wives; specifically, higher anxious attachment for wives and for husbands significantly predicted decreased parental cooperation and increased triangulation and conflict. Likewise, avoidant attachment for wives and for husbands was significantly predictive of decreased cooperation and increased triangulation and conflict. These findings point to the utility of marital therapy focusing on increasing attachment as a way to strengthen parental attachment.