Search
Search Results
-
Fast normalized cross-correlation for template matching with rotations
Normalized cross-correlation is the reference approach to carry out template matching on images. When it is computed in Fourier space, it can handle...
-
On Mazur rotations problem and its multidimensional versions
The article is a survey related to a classical unsolved problem in Banach space theory, appearing in Banach’s famous book in 1932, and known as the...
-
Modeling the Movement of Heterogenous Flows of People as a Geometric Design Problem
The problem of modeling the movement of heterogenous flows of people is shown to be one of the topical applied problems of the geometric design...
-
On the Algebra Generated by Volterra Integral Operators with Homogeneous Kernels and Continuous Coefficients
We consider Volterra multidimensional integral operators with continuous coefficients in Lebesgue spaces. The kernel of an integral operator is...
-
-
Optimal 3D printing of complex objects in a 5–axis printer
Three-dimensional (3D) printing, also known as additive manufacturing (AM), has emerged in the last decades as an innovative technology to build...
-
A numerical-and-computational study on the impact of using quaternions in the branch-and-prune algorithm for exact discretizable distance geometry problems
Distance geometry is a branch of Mathematics which studies geometric relations having distances as primitive elements. Its fundamental problem, the...
-
Varieties of Cubes of Opposition
The objects called cubes of opposition have been presented in the literature in discordant ways. The aim of the paper is to offer a survey of such...
-
Bifurcation of Piecewise Smooth Manifolds from 3D Center-Type Vector Fields
The main goal of this paper is to study the existence of two dimensional piecewise smooth invariant manifolds under small piecewise smooth...
-
Low-Dimensional Invariant Embeddings for Universal Geometric Learning
This paper studies separating invariants: map**s on D -dimensional domains which are invariant to an appropriate group action and which separate...
-
On the Usefulness of the Vector Field Singular Points Shapes for Classification
The objects’ features play significant role in the machine learning classification. The present paper proofs and validates that the shapes of vector...
-
On Quantitative Assessment of Chirality: Right- and Left-Handed Geometric Objects
AbstractTwo methods for quantitatively assessing the chirality of a set are considered. As a measure of the noncoincidence between two sets, one...
-
Basic Results of Integral Geometry
The results in this chapter are of a geometric nature, and they emanate from the basic concept of motion-invariant measure associated with a mobile...
-
Diameter of Compact Riemann Surfaces
Diameter is one of the most basic properties of a geometric object, while Riemann surfaces are one of the most basic geometric objects. Surprisingly,...
-
Description of a Class of Evolutionary Equations in Ferrodynamics
In this paper, we state the problem of constructing evolution equations describing the dynamics of condensed matter with an internal structure....
-
Conjugacy of Maps
The notion of topological conjugacy is very important in connecting the dynamicsDynamics of different mapsMaps. It relates the properties among maps...
-
Biological Objects
Brains are adept at interacting with biological objects. How to characterise such objects? Following the geometric approach, every possible...
-
Rotations and Moobius Maps
This chapter builds on Chapter 3. The reader is assumed to know the spectral theorem for normal operators from linear algebra, as well as basic plane...
-
Throwing a Sofa Through the Window
We study several variants of the problem of moving a convex polytope K , with n edges, in three dimensions through a flat rectangular (and sometimes...
-
Fitting cylinders computation with an application to measuring 3D shapes
This paper observes a fitting cylinders problem for 3 D shapes. The method presented defines two cylinders that fit well with the shape considered....
