Mathematical interpretation of artificial ovoids and avian egg shapes (part I)

IS Mytiai, AV Matsyura - Regulatory Mechanisms in Biosystems, 2019 - cyberleninka.ru
We performed comparative analysis of curvature characteristics of bird eggs and used ovoid
profiles from various authors, our own geometric profiles, and archive bird egg profiles from …

Certified approximation algorithms for the Fermat point and n-ellipses

K Junginger, I Mantas, E Papadopoulou… - … on Algorithms (ESA …, 2021 - drops.dagstuhl.de
Given a set A of n points in ℝ^ d with weight function w: A→ ℝ_ {> 0}, the Fermat distance
function is φ (x):=∑ _ {a∈ A} w (a)‖ xa‖. A classic problem in facility location dating back …

[PDF][PDF] A metod for extraction of arcs of the algebraic curves

B Malešević, M Petrović, B Banjac, I Jovović… - Proc. 4th International …, 2014 - academia.edu
A METHOD FOR EXTRACTION OF ARCS OF THE ALGEBRAIC CURVES Page 1 1 A
METHOD FOR EXTRACTION OF ARCS OF THE ALGEBRAIC CURVES B. Malešević 1 M …

[HTML][HTML] Weberian Focal-Directorial Curves: Geometric Genesis and Form Variation

M Petrović, B Malešević, R Štulić - Nexus Network Journal, 2021 - Springer
In this paper, new plane curves (multidirectorial curves as counterpart to multifocal curves;
and focal-directorial curves as curves of a transitory type) are considered through geometric …

Generalized conics: properties and applications

A Gabdulkhakova, WG Kropatsch - 2020 25th International …, 2021 - ieeexplore.ieee.org
In this paper the properties of the generalized conics are used to create a unified framework
for generating various types of the distance fields. The main concept behind this work is a …

The use of Weber's focal-directorial plane curves as approximation of top view contour curves at architectural buildings objects

MM Petrović, R Mijailović, B Malešević… - … Architecture and Civil …, 2018 - raf.arh.bg.ac.rs
One of the major aims when researching some problems in architectural design of buildings
is to fully understand and adequately apply the underlying scientific foundations that …

Reduction of Phase Estimation Errors in Phase-Shifting Interferometry Using Multifocal Curve Approximation

EG Kazakov, FA Skorokhodov… - 2024 IEEE 25th …, 2024 - ieeexplore.ieee.org
The objective of the article is to refine the accuracy of phase-shifting algorithms utilized in
decoding fringe patterns. To overcome nonlinear errors (specifically gamma distortion) in …

Weberian Focal-Directorial Curves

P Maja, M Branko, Š Radovan - Nexus Network Journal, 2021 - search.proquest.com
In this paper, new plane curves (multidirectorial curves as counterpart to multifocal curves;
and focal-directorial curves as curves of a transitory type) are considered through geometric …

SOME SURFACES OF SECOND ORDER AS EXAMPLES OF WEBERS SURFACES

M Petrovic, B Maleševic, B Banjac - Journal of Industrial Design and …, 2015 - sorging.ro
In this paper we consider some surfaces of second order as surfaces generated from
focaldirectorial elements (point, line, plane). Extraction of parts of the surface according to …

Geometric problems in higher dimensions

MG Suderland - 2022 - sonar.ch
Research in computational geometry has produced many results in the plane and low
dimensional spaces. These include impossibility and complexity results, efficient data …