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A generalized de Casteljau approach to 3D free-form deformation

Authors:

Yu-Kuang Chang,

Alyn P. RockwoodAuthors Info & Claims

SIGGRAPH '94: Proceedings of the 21st annual conference on Computer graphics and interactive techniques

Pages 257 - 260

https://doi.org/10.1145/192161.192220

Published: 24 July 1994 Publication History

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Abstract

This paper briefly presents an efficient and intuitive 3D free-form deformation approach based on iterative affine transformations, a generalized de Casteljau algorithm, whereby the object warps along a Be´zier curve as its skeleton.

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References

[1]

Barr, A. H., Global and Local Deformations of Solid Primitives, Proceedings of SIGGRAPH '84, Computer Graphics 18, 3 (July 1984), 21-30.

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Sederberg, T. W. and Parry, S. R., Free-Form Deformation of Solid Geometric Models, Proceedings of SIGGRAPH '86, Computer Graphics 20, 4 (August 1986), 151-159.

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B~zier, P., Mathematical and Practical Possibilities of UNISURF, In Barnhill, R. E. and Riesenfeld, R. F. (eds), Computer Aided Geometric Design, Academic Press (1974), New York, 127-152.

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Coquillart, S., Extended Free-Form Deformation: A sculpturing Tool for 3D Geometric Modeling, Proceedings of SIGGRAPH '90, Computer Graphics 24, 4 (August 1990), 187-196.

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Farin, G. E., Curves and Surfaces for Computer Aided Geometric Design, Academic Press (1993), 3rd Edition, Boston.

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Cited By

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Cani MIgarashi TWyvill G(2022)Interactive Shape DesignundefinedOnline publication date: 21-Mar-2022
Dawn SSaxena VSharma B(2014)Advanced free-form deformation and Kullback–Lieblier divergence measure for digital elevation model registrationSignal, Image and Video Processing10.1007/s11760-014-0621-z9:7(1625-1635)Online publication date: 28-Feb-2014
Sun YSong LShen T(2013)With Random Parametric Equation of Circle Inscribed Polygon Generation Algorithm and AnalysisApplied Mechanics and Materials10.4028/www.scientific.net/AMM.275-277.2506275-277(2506-2510)Online publication date: Jan-2013
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Index Terms

A generalized de Casteljau approach to 3D free-form deformation
1. Computing methodologies
  1. Computer graphics
    1. Shape modeling
      1. Parametric curve and surface models
      2. Volumetric models

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SIGGRAPH '94: Proceedings of the 21st annual conference on Computer graphics and interactive techniques

July 1994

512 pages

ISBN:0897916670

DOI:10.1145/192161

Chairmen:
Dino Schweitzer
US Air Force Academy, Colorado
,
Andrew Glassner,
Mike Keeler

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

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Published: 24 July 1994

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SIGGRAPH94: 21st International ACM Conference on Computer Graphics and Interactive Techniques

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SIGGRAPH '94 Paper Acceptance Rate 57 of 242 submissions, 24%;

Overall Acceptance Rate 1,822 of 8,601 submissions, 21%

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Cani MIgarashi TWyvill G(2022)Interactive Shape DesignundefinedOnline publication date: 21-Mar-2022
Dawn SSaxena VSharma B(2014)Advanced free-form deformation and Kullback–Lieblier divergence measure for digital elevation model registrationSignal, Image and Video Processing10.1007/s11760-014-0621-z9:7(1625-1635)Online publication date: 28-Feb-2014
Sun YSong LShen T(2013)With Random Parametric Equation of Circle Inscribed Polygon Generation Algorithm and AnalysisApplied Mechanics and Materials10.4028/www.scientific.net/AMM.275-277.2506275-277(2506-2510)Online publication date: Jan-2013
Xu GHui KGe WWang G(2013)Direct manipulation of free-form deformation using curve-pairsComputer-Aided Design10.1016/j.cad.2012.09.00445:3(605-614)Online publication date: 1-Mar-2013
Hong MJeon JOh DChoi M(2012)Implementation of 3D Deformable Objects on Smart Devices Using FFD-AABB AlgorithmUbiquitous Information Technologies and Applications10.1007/978-94-007-5857-5_90(833-840)Online publication date: 20-Nov-2012
Li LWu ZTao TLiu X(2011)A Rapid Method of 3D Character Models' Diversity Used Micro-deformationProceedings of the 2011 12th International Conference on Computer-Aided Design and Computer Graphics10.1109/CAD/Graphics.2011.55(313-316)Online publication date: 15-Sep-2011
Renjie Xu Fengxia Li Lejian Liao (2010)Notice of Retraction: A 3D non-regular military symbol Deformation method along the Battlefield terrain2010 3rd International Conference on Computer Science and Information Technology10.1109/ICCSIT.2010.5563691(207-211)Online publication date: Jul-2010
Ge WGang Xu Hui KWang G(2009)Detail-preserving axial deformation using curve pairs2009 IEEE International Conference on Shape Modeling and Applications10.1109/SMI.2009.5170164(58-65)Online publication date: Jun-2009
Lepetit VMoreno-Noguer FFua P(2009)EPnPInternational Journal of Computer Vision10.1007/s11263-008-0152-681:2(155-166)Online publication date: 1-Feb-2009
Schmitt BPasko ASchlick C(2008)Constructive hypervolume modeling using extended space mappingsHeterogeneous objects modelling and applications10.5555/1806158.1806165(167-192)Online publication date: 1-Jan-2008
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Free-form deformation of solid geometric models

Free-form deformation of solid geometric models

A Method for Deforming Polygonal Shapes into Smooth Spline Surface Models

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Free-form deformation of solid geometric models

Free-form deformation of solid geometric models

A Method for Deforming Polygonal Shapes into Smooth Spline Surface Models

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