Construction of the surfaces with horizontal tangential planes at given points

TL;DR

This paper addresses constructing surfaces with specified points having horizontal tangent planes, which is useful for simulating waved ocean surfaces in computer graphics.

Contribution

It introduces a method for constructing surfaces with prescribed horizontal tangential planes at given points, advancing simulation techniques.

Findings

Provides a new construction method for such surfaces

Enhances accuracy of ocean surface simulations

Offers potential applications in computer graphics

Abstract

The problem of construction of the surfaces with given sets of the points with horizontal tangential planes is considered. Such considerations are of interest in the problem of computer simulations of the waved ocean surfaces.