Fair webs

Johannes Wallner; Helmut Pottmann; Michael Hofer

doi:10.1007/s00371-006-0088-1

Fair webs

Johannes Wallner^*, Helmut Pottmann, Michael Hofer

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

Fair webs are energy-minimizing curve networks. Obtained via an extension of cubic splines or splines in tension to networks of curves, they are efficiently computable and possess a variety of interesting applications. We present properties of fair webs and their discrete counterparts, i.e., fair polygon networks. Applications of fair curve and polygon networks include fair surface design and approximation under constraints such as obstacle avoidance or guaranteed error bounds, aesthetic remeshing, parameterization and texture mapping, and surface restoration in geometric models.

Original language	English (US)
Pages (from-to)	83-94
Number of pages	12
Journal	Visual Computer
Volume	23
Issue number	1
DOIs	https://doi.org/10.1007/s00371-006-0088-1
State	Published - Jan 2007
Externally published	Yes

Keywords

Aesthetic meshes
Curve network
Curves in surfaces
Mesh fairing
Obstacle avoidance
Spline interpolation and approximation
Texture mapping
Variational surface design

ASJC Scopus subject areas

Software
Computer Vision and Pattern Recognition
Computer Graphics and Computer-Aided Design

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10.1007/s00371-006-0088-1

Cite this

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keywords = "Aesthetic meshes, Curve network, Curves in surfaces, Mesh fairing, Obstacle avoidance, Spline interpolation and approximation, Texture mapping, Variational surface design",

author = "Johannes Wallner and Helmut Pottmann and Michael Hofer",

year = "2007",

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doi = "10.1007/s00371-006-0088-1",

language = "English (US)",

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AU - Wallner, Johannes

AU - Pottmann, Helmut

AU - Hofer, Michael

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AB - Fair webs are energy-minimizing curve networks. Obtained via an extension of cubic splines or splines in tension to networks of curves, they are efficiently computable and possess a variety of interesting applications. We present properties of fair webs and their discrete counterparts, i.e., fair polygon networks. Applications of fair curve and polygon networks include fair surface design and approximation under constraints such as obstacle avoidance or guaranteed error bounds, aesthetic remeshing, parameterization and texture mapping, and surface restoration in geometric models.

KW - Aesthetic meshes

KW - Curve network

KW - Curves in surfaces

KW - Mesh fairing

KW - Obstacle avoidance

KW - Spline interpolation and approximation

KW - Texture mapping

KW - Variational surface design

UR - http://www.scopus.com/inward/record.url?scp=33845313024&partnerID=8YFLogxK

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DO - 10.1007/s00371-006-0088-1

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VL - 23

SP - 83

EP - 94

JO - Visual Computer

JF - Visual Computer

IS - 1

ER -

Fair webs

Abstract

Keywords

ASJC Scopus subject areas

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