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A Level-Set Approach for the Metamorphosis of Solid Models
April-June 2001 (vol. 7 no. 2)
pp. 173-192
ASCII Text
x 
 
David E. Breen, Ross T. Whitaker, "A Level-Set Approach for the Metamorphosis of Solid Models," IEEE Transactions on Visualization and Computer Graphics, vol. 7, no. 2, pp. 173-192, April-June, 2001.
 
 
BibTex
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@article{ 10.1109/2945.928169,
author = {David E. Breen and Ross T. Whitaker},
title = {A Level-Set Approach for the Metamorphosis of Solid Models},
journal ={IEEE Transactions on Visualization and Computer Graphics},
volume = {7},
number = {2},
issn = {1077-2626},
year = {2001},
pages = {173-192},
doi = {http://doi.ieeecomputersociety.org/10.1109/2945.928169},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Visualization and Computer Graphics
TI - A Level-Set Approach for the Metamorphosis of Solid Models
IS - 2
SN - 1077-2626
SP173
EP192
EPD - 173-192
A1 - David E. Breen,
A1 - Ross T. Whitaker,
PY - 2001
KW - Level set method
KW - morphing
KW - solid model
KW - distance function
KW - animation
KW - volume graphics
KW - optimization
KW - deformable model.
VL - 7
JA - IEEE Transactions on Visualization and Computer Graphics
ER -
 

Abstract—This paper presents a new approach to 3D shape metamorphosis. We express the interpolation of two shapes as a process where one shape deforms to maximize its similarity with another shape. The process incrementally optimizes an objective function while deforming an implicit surface model. We represent the deformable surface as a level set (iso-surface) of a densely sampled scalar function of three dimensions. Such level-set models have been shown to mimic conventional parametric deformable surface models by encoding surface movements as changes in the grayscale values of a volume data set. Thus, a well-founded mathematical structure leads to a set of procedures that describes how voxel values can be manipulated to create deformations that are represented as a sequence of volumes. The result is a 3D morphing method that offers several advantages over previous methods, including minimal need for user input, no model parameterization, flexible topology, and subvoxel accuracy.

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Index Terms:
Level set method, morphing, solid model, distance function, animation, volume graphics, optimization, deformable model.
Citation:
David E. Breen, Ross T. Whitaker, "A Level-Set Approach for the Metamorphosis of Solid Models," IEEE Transactions on Visualization and Computer Graphics, vol. 7, no. 2, pp. 173-192, April-June 2001, doi:10.1109/2945.928169
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