&lt;title&gt;Sampling and surface reconstruction with adaptive-size meshes&lt;/title&gt;

Huang, Wen‐Chen; Goldgof, Dmitry B.

doi:10.1117/12.58618

Cited by 4 publications

(1 citation statement)

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“…Terzopoulos, Witkin, and Kass [3] create a membraneihin-plate elastic model relative to the spring forces to maintain the model flexible and stable for 3-D object reconstruction. Huang and Goidgof [6,7,8] built an adaptive-size meshes to reconstruct and analyze nonrigid motion objects. They formulate deformable superquadrics incorporating the global shape parameters with the local degrees of freedom of a spline.…”

Section: Introductionmentioning

confidence: 99%

<title>Nonrigid motion analysis using nonlinear finite element modeling</title>

Huang

Goldgof

1993

SPIE Proceedings

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Finding corresponding points during nonrigid motion is a difficult but important problem. If the correspondence between all the points innonrigid motion can be determined, the complete information about the motion can be found. That requires the application of a specific constraint (similar to nonrigidity constraints utilized by rigid motion analysis algorithms). However, nonrigid motion has extremely varying nature (consider articulated motion V.5. motion of fluids). Hence, it is very unlikely that we can find a single nonrigidity assumption which can be utilized by all applications. Therefore, the idea is to utilize possible a priori knowledge to limit possible nonrigid behaviors. This a priori knowledge may be general or specific, local or global.In this paper, we consider the problem of tracking elastic objects with known material properties. That corresponds to utilization of specific a priori knowledge in nonrigid motion analysis. We propose the utilization of nonlinear finite element methods(FEM) for point correspondence recovery. We deal with range data, i.e. assume that surface points before and after motion are available from the sensing system. Nonlinear FEM not only allows for modeling of nonlinear material properties but also for large deformation between consecutive time frames (which are main limitations of widely utilized linear FEM). We propose a new algorithm for the point correspondence recovery in nonrigid motion using assumptions of known material properties and single (but not known) force applied to the object. Simulations and experimental results demonstrate the performance of the proposed algorithm. 0-8194-1280-5/931$6.0O Downloaded From: http://proceedings.spiedigitallibrary.org/ on 06/23/2016 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspx

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Section: Introductionmentioning

confidence: 99%

<title>Nonrigid motion analysis using nonlinear finite element modeling</title>

Huang

Goldgof

1993

SPIE Proceedings

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Deformable Models for Reconstructing Unstructured 3D Data

Algorri

Schmitt

1995

Lecture Notes in Computer Science

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Adaptive-size physically-based models for nonrigid motion analysis

Huang

Goldgof

Proceedings 1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition

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This paper presents adaptive-size physically-based models suitable for nonrigid motion analysis. The mesh size increases or decreases dynamically during surface reconstructing process to locate nodes near surface areas of interests (like high curvature points) and to optimize the fitting error. In addition, a priori information about nonrigidity can be included so that surface model deforms to fit moving data points while preserving some basic nonrigid constraints (ex. isometry or conformality).Implementation of the proposed algorithm with and without isometric/conformal constraints is presented. Performance and accuracy of derived algorithms are demonstrated on simulated data of deforming ellipsoidal and bending planar shapes. Then, the algorithm is applied to the real range data of bending paper and to volumetric temporal left ventricular data.

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<title>Sampling and surface reconstruction with adaptive-size meshes</title>

Cited by 4 publications

References 10 publications

<title>Nonrigid motion analysis using nonlinear finite element modeling</title>

<title>Nonrigid motion analysis using nonlinear finite element modeling</title>

Deformable Models for Reconstructing Unstructured 3D Data

Adaptive-size physically-based models for nonrigid motion analysis

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