One of the significant advantages of particle methods is their capability of computing large material deformation without the difficulty of mesh distortion. Often the large deformation of a material is caused by shock loading, therefore accurate calculation of shock waves is important for particle methods. In this work we study the numerical properties of four major versions of the material poi...

This work is concerned with the problem of point set matching over features extracted from images. A novel approach to the problem is proposed which leverages different techniques from the literature. It combines a number of similarity metrics that quantify measures of correspondence between the two sets of features and introduces a non-iterative algorithm for feature matching based on spectral...

Softening and dropping point determination are established analytical tests that provide quality control for petrochemical products such as bitumen (asphalt). However, to be accurate, manual/semi-automated quality tests prescribed in ASTM standards must be performed in a standardized fashion. Unfortunately, manual processing bears inherent process risks that affect repeatability, which in turn ...

Abstact Point/feature matching in 2D images has been well studied in the computer vision community. With the huge advancement in shape scanning and acquisition technology, feature matching has recently found usefulness in 3D shape matching and searching. We study the general problem of feature correspondence in 3D shapes represented by triangular meshes. This project is a survey and comparison ...

We encode arbitrary finite impartial combinatorial games in terms of lattice points in rational convex polyhedra. Encodings provided by these lattice games can be made particularly efficient for octal games, which we generalize to squarefree games. These additionally encompass all heap games in a natural setting, in which the Sprague–Grundy theorem for normal play manifests itself geometrically...

List studenata Geodetskog fakulteta Sveučilišta u Zagrebu Summary: This paper critically analyses the state of the art provided in today’s scientific »market of knowledge« concerning the subject of object delineation from LiDAR obtained 3D point clouds. Such approach became a very popular subject in many scientific fields (forestry, geography, archaeology, etc.). The author will give multiple e...

We consider nonlinear stochastic programming problems with probabilistic constraints. The concept of a p-efficient point of a probability distribution is used to derive equivalent problem formulations, and necessary and sufficient optimality conditions. We analyze the dual functional and its subdifferential. Two numerical methods are developed based on approximations of the p-efficient frontier...

This paper formulates an edge-based smoothed point interpolation method (ES-PIM) for solid mechanics using three-node triangular meshes. In the ES-PIM, displacement fields are construed using the point interpolation method (polynomial PIM or radial PIM), and hence the shape functions possess the Kronecker delta property, facilitates the enforcement of Dirichlet boundary conditions. Strains are ...