Mathematical models of the complex surfaces in simulation and visualization systems

TL;DR

This paper surveys mathematical models of complex surfaces like Hermite, Bezier, splines, and NURBS used in 3D modeling, simulation, and visualization systems, highlighting their applications across computer graphics.

Contribution

It provides a comprehensive overview of how various mathematical models of curves and surfaces are utilized in computer graphics and related fields.

Findings

Various mathematical models are effectively used in 3D visualization.

Hermite, Bezier, splines, and NURBS are key surface representations.

The survey highlights applications across multiple computer graphics systems.

Abstract

Modeling, simulation and visualization of three-dimension complex bodies widely use mathematical model of curves and surfaces. The most important curves and surfaces for these purposes are curves and surfaces in Hermite and Bezier forms, splines and NURBS. Article is devoted to survey this way to use geometrical data in various computer graphics systems and adjacent fields.