Estimation of differential quantities using Hermite RBF interpolation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F18%3A43952915" target="_blank" >RIV/49777513:23520/18:43952915 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s00371-017-1438-x" target="_blank" >http://dx.doi.org/10.1007/s00371-017-1438-x</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00371-017-1438-x" target="_blank" >10.1007/s00371-017-1438-x</a>

Result language

angličtina

Original language name

Estimation of differential quantities using Hermite RBF interpolation

Original language description

Curvature is an important geometric property in computer graphics that provides information about the character of object surfaces. The exact curvature can only be calculated for a limited set of surface descriptions. Most of the time, we deal with triangles, point sets or some other discrete representation of the surface. For those, curvature can only be estimated. However, surfaces can be fitted by some kind of interpolation function and from it, curvature can be calculated directly. This paper proposes a method for curvature estimation and normal vector re-estimation based on surface fitting using Hermite Radial Basis Function interpolation. Hermite variation uses not only control points, but normal vectors at those points as well. This leads to a better and more robust interpolation than if only control points are used. Once the interpolant is obtained, the curvature and other possible properties can be directly computed using known approaches. The proposed algorithm was tested on several explicit and implicit functions, and it outperforms current state-of-the-art methods if exact normals are available. For normals calculated directly from a triangle mesh, the proposed algorithm works on par with existing state-of-the-art methods.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

The Visual Computer

ISSN

0178-2789

e-ISSN

—

Volume of the periodical

34

Issue of the periodical within the volume

12

Country of publishing house

DE - GERMANY

Number of pages

15

Pages from-to

1645-1659

UT code for WoS article

000448487400003

EID of the result in the Scopus database

2-s2.0-85029173217