loading
Papers
  • Login
  • Sign-Up

Research.Publish.Connect.

Paper

Authors: Xiang Fang and Stephen Mann

Affiliation: University of Waterloo, Canada

ISBN: 978-989-758-287-5

Keyword(s): Triangular Bézier Patches, Clough-Tocher Interpolation, Least Squares.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Geometry and Modeling ; Modeling and Algorithms ; Surface Modeling

Abstract: In this paper we present a quartic version of the Clough-Tocher scheme for Hermite interpolation of functional data. This variation uses least squares to minimize discontinuities across the macro-patch boundaries, as well as adjusting one of the macro-boundary control points. The resulting surfaces have significantly better shape than a cubic version of Clough-Tocher that also used least squares to minimize discontinuities across patch boundaries. We compare our method to this cubic version of Clough-Tocher using shaded images and Gaussian curvature plots.

PDF ImageFull Text

Download
Sign In Guest: Register as new SciTePress user or Join INSTICC now for free.

Sign In SciTePress user: please login.

Sign In INSTICC Members: please login. If not a member yet, Join INSTICC now for free.

PDF ImageMy Papers

You are not signed in, therefore limits apply to your IP address 54.224.44.168. INSTICC members have higher download limits (free membership now)

In the current month:
Recent papers: 100 available of 100 total
2+ years older papers: 200 available of 200 total

Paper citation in several formats:
Fang X. and Mann S. (2018). A Quartic Clough-Tocher Interpolant.In Proceedings of the 13th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: GRAPP, ISBN 978-989-758-287-5, pages 199-206. DOI: 10.5220/0006547201990206

@conference{grapp18,
author={Xiang Fang and Stephen Mann},
title={A Quartic Clough-Tocher Interpolant},
booktitle={Proceedings of the 13th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: GRAPP,},
year={2018},
pages={199-206},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006547201990206},
isbn={978-989-758-287-5},
}

TY - CONF

JO - Proceedings of the 13th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: GRAPP,
TI - A Quartic Clough-Tocher Interpolant
SN - 978-989-758-287-5
AU - Fang X.
AU - Mann S.
PY - 2018
SP - 199
EP - 206
DO - 10.5220/0006547201990206

Sorted by: Show papers

Note: The preferred Subjects/Areas/Topics, listed below for each paper, are those that match the selected paper topics and their ontology superclasses.
More...

Login or register to post comments.

Comments on this Paper: Be the first to review this paper.

Show authors

Note: The preferred Subjects/Areas/Topics, listed below for each author, are those that more frequently used in the author's papers.
More...