<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The blending interpolation has many practical applications. Remind that blending interpolation is to interpolate a function at an infinite set of points: segments, curves, surfaces, etc. Thus, if one gives the contour of an object by such elements (segments, curves, surfaces) using a blending interpolation, we can generate a surface that contains the given contour. Hence, we can construct a surface (a blending function interpolant) which matches a given function and certain on its derivatives on the boundary of a plane domain (rectangle, triangle, etc. The aim of this paper is to construct some surfaces which satisfy some given condition on the boundary of a domain that can be decomposed in triangles with one curved side. We construct some new surfaces using some Lagrange, Hermite, Birkhoff and Nielson type operators.</p>
</abstract>

The blending interpolation has many practical applications. Remind that blending interpolation is to interpolate a function at an infinite set of points: segments, curves, surfaces, etc. Thus, if one gives the contour of an object by such elements (segments, curves, surfaces) using a blending interpolation, we can generate a surface that contains the given contour. Hence, we can construct a surface (a blending function interpolant) which matches a given function and certain on its derivatives on the boundary of a plane domain (rectangle, triangle, etc. The aim of this paper is to construct some surfaces which satisfy some given condition on the boundary of a domain that can be decomposed in triangles with one curved side. We construct some new surfaces using some Lagrange, Hermite, Birkhoff and Nielson type operators.

Some Classes of Surfaces Generated by Blending Interpolation on a Triangle with One Curved Side

International conference KNOWLEDGE-BASED ORGANIZATION

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The blending interpolation has many practical applications. Remind that blending interpolation is to interpolate a function at an infinite set of points:...

Some Classes of Surfaces Generated by Blending Interpolation on a Triangle with One Curved Side

Published Online: Jul 20, 2020

Page range: 26 - 32

DOI: https://doi.org/10.2478/kbo-2020-0110

Keywords
Blending interpolation, interpolation operators, surface generation

© 2020 Alina Baboş, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Some Classes of Surfaces Generated by Blending Interpolation on a Triangle with One Curved Side

Published Online: Jul 20, 2020

Page range: 26 - 32

DOI: https://doi.org/10.2478/kbo-2020-0110

KeywordsBlending interpolation, interpolation operators, surface generation

© 2020 Alina Baboş, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Blending interpolation, interpolation operators, surface generation