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Cited by 2543D Shape Modeling and AnalysisComputer Graphics and Visualization TechniquesAdvanced Numerical Analysis Techniques

The DOI matches its Crossref record.

An intuitive framework for real-time freeform modeling

Botsch, Mario, Kobbelt, Leif·2004·ACM Transactions on Graphics
DOI 10.1145/1015706.1015772
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Abstract

We present a freeform modeling framework for unstructured triangle meshes which is based on constraint shape optimization. The goal is to simplify the user interaction even for quite complex freeform or multiresolution modifications. The user first sets various boundary constraints to define a custom tailored (abstract) basis function which is adjusted to a given design task. The actual modification is then controlled by moving one single 9-dof manipulator object. The technique can handle arbitrary support regions and piecewise boundary conditions with smoothness ranging continuously from C 0 to C 2 . To more naturally adapt the modification to the shape of the support region, the deformed surface can be tuned to bend with anisotropic stiffness. We are able to achieve real-time response in an interactive design session even for complex meshes by precomputing a set of scalar-valued basis functions that correspond to the degrees of freedom of the manipulator by which the user controls the modification.

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Crossref · 10.1145/1015706.1015772

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Research works printed but not linked: 19

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  2. COQUILLART S. 1990. Extended free-form deformation: a sculpturing tool for 3D geometric modeling. In Computer Graphics (Proceedings of ACM SIGGRAPH 90) ACM 187--196. 10.1145/97879.97900 · DOI
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  4. DU, H., AND QIN, H. 2000. Direct manipulation and interactive sculpting of pde surfaces. In Proceedings of Eurographics 00, 261--270.
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  8. KOBBELT, L. 1997. Discrete Fairing. In Proceedings on 7th IMA Conference on the Mathematics of Surfaces, 101--131.
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  12. MEYER, M., DESBRUN, M., SCHRÖDER, P., AND BARR, A. H. 2003. Discrete differential-geometry operators for triangulated 2-manifolds. In Visualization and Mathematics III, H.-C. Hege and K. Polthier, Eds. Springer-Verlag, Heidelberg, 35--57.
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Metadata

Authors
Botsch, M., & Kobbelt, L.
Affiliations
RWTH Aachen University (DE)
ORCID
Venue
ACM Transactions on Graphics
Publisher
Association for Computing Machinery (ACM)
Published
2004-08
Volume
23
Issue
3
Pages
630-634
ISSN
  • 0730-0301 (ISSN-L)
  • 1557-7368
DOI
10.1145/1015706.1015772
OpenAlex
W2113275166
Cited by
254
References
0
Citations by year
2026: 3 · 2025: 4 · 2024: 7 · 2023: 4 · 2022: 4 · 2021: 11 · 2020: 14 · 2019: 4 · 2018: 5 · 2017: 6 · 2016: 6 · 2015: 11 · 2014: 14 · 2013: 12 · 2012: 14
FWCI
35.80
Type
journal article
Language
en
Open access
closed
Licence
www.acm.org/publications/policies/copyright_policy#Background (vor)
Locations
  • ACM Transactions on Graphics (publishedVersion)
  • PUB – Publications at Bielefeld University (Bielefeld University) (submittedVersion)
  • Publikationen an der Universität Bielefeld (Universität Bielefeld) (submittedVersion)
  • RWTH Publications (RWTH Aachen) (submittedVersion)
Topics
  • Physical Sciences › Computer Science › Computer Graphics and Computer-Aided Design › 3D Shape Modeling and Analysis
  • Physical Sciences › Computer Science › Computer Graphics and Computer-Aided Design › Computer Graphics and Visualization Techniques
  • Physical Sciences › Engineering › Computational Mechanics › Advanced Numerical Analysis Techniques
Keywords
triangular meshes, boundary constraints, basis functions, anisotropic stiffness

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