Adding simple volumes, which are often called primitives, is a natural way to construct complex solid models. Conversely, cell-based volume decomposition is the existing method to decompose a complex solid model into simpler volumes that are often the primitives used to create the model. One problem of this volume decomposition is that it generates a large number of cells, many of which are unn...

This paper discusses the behaviour characteristics of the shaping formation of Single-Chorded Space Truss (SCST) structures by means of cable-tensioning of bottom chords. The innovative technique is fast and economical and issued in many types of space structures. The small-scale test models presented herein consist of uniform pyramids with multi-directional ball type joints which are erected i...

This paper studies properties of homogeneous systems in a geometric, coordinate-free setting. A key contribution of this paper is a result relating regularity properties of a homogeneous function to its degree of homogeneity and the local behavior of the dilation near the origin. This result makes it possible to extend previous results on homogeneous systems to the geometric framework. As an ap...

This paper presents a recently developed Image Acquisition–Geometric Modelling system for the construction of geometric models of natural or artificial objects. This construction is achieved in a two-step procedure. First, the object of interest is digitised, i.e. points on the surface of the object are computed. Then, based on the cloud of digitised 3D points, an approximating surface, a geome...

The paper examines the geometrical properties of a six-dimensional KaluzaKlein type model. They may have an impact on the model of the structure of a neutron and its excited states in the realm of one particle physics. The statistical reason for the six-dimensionality and the stability of the solution is given. The derivation of the weak limit approximation of the general wave mechanical (quant...

We present a thorough photometric and geometric study of the multimedia devices composed of both a matte screen and an attached camera, where it is shown that the light emitted by an image displayed on the monitor can be expressed in closed-form at any point facing the screen, and that the geometric calibration of the camera attached to the screen can be simplified by introducing simple geometr...

Barycentric coordinates are a fundamental concept in computer graphics and geometric modeling. We extend the geometric construction of Floater’s mean value coordinates [8,11] to a general form that is capable of constructing a family of coordinates in a convex 2D polygon, 3D triangular polyhedron, or a higher-dimensional simplicial polytope. This family unifies previously known coordinates, inc...

Continuity and change is a core biology theme that refers to how genetic information is carried forward. This paper reports on our initial steps toward representing this core theme in an existing knowledge base and describes the methodological background and open challenges. We define continuity and change from a conceptual modeling perspective, identify its facets that require further ontologi...

In this paper, we propose a model-based procedure to calibrate and validate Sentinel-1 orbit products by the Multi-Squint (MS) phase. The technique allows to calibrate an interferometric pair geometry by refining the slave orbit with reference to the orbit of a master image. Accordingly, we state the geometric model of the InSAR phase as function of positioning errors of targets and slave track...

This paper presents an approach to plan robust motion strategies of a robot navigating through an environment composed of polygonal obstacles subject to geometric uncertainty constraints. The contacts of the robot against the obstacles are used to reduce its position and orientation uncertainties and to guide the robot to its goal configuration. We describe a motion planner based on this approa...