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Geometrically deformed models: a method for extracting closed geometric models form volume data
Open accessAbstract
We propose a new approach to the problem of generating a simple topologically-closed geometric model from a point-sampled volume data set. We call such a model a Geometrically Deformed Model or GDM. A GDM is created by placing a 'seed' model in the volume data set. The model is then deformed by a relaxation process that minimizes a set of constraints that provides a measure of how well the model fits the features in the data. Constraints are associated with each vertex in the model that control local deformation, interaction between the model and the data set, and the shape and topology of the model. Once generated, a GDM can be used for visualization, shape recognition, geometric measurements, or subjected to a series of geometric operations. This technique is of special importance because of the advent of nondestructive sensing equipment (CT, MRI) that generates point samples of true three-dimensional objects.
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Cited by
Deformable models in medical image analysis: a survey
McInerney, T., & Terzopoulos, D. (1996) · Medical Image Analysis · doi:10.1016/s1361-8415(96)80007-7 · Cited by 1,913
Hoppe, H., DeRose, T., Duchamp, T., McDonald, J., & Stuetzle, W. (1993) · Proceedings of the 20th annual conference on Computer graphics and interactive techniques · doi:10.1145/166117.166119 · Cited by 1,303
Image‐based 3D Modelling: A Review
Remondino, F., & El‐Hakim, S. (2006) · The Photogrammetric Record · doi:10.1111/j.1477-9730.2006.00383.x · Cited by 1,019
A Level-Set Approach to 3D Reconstruction from Range Data
Whitaker, R. T. (1998) · International Journal of Computer Vision · doi:10.1023/a:1008036829907 · Cited by 517
Deformable models in medical image analysis
McInerney, T., & Terzopoulos, D. (1996) · Proceedings of the Workshop on Mathematical Methods in Biomedical Image Analysis · doi:10.1109/mmbia.1996.534069 · Cited by 329
Metadata
- Authors
- Miller, J. V., Breen, D. E., Lorensen, W. E., O'Bara, R. M., & Wozny, M. J.
- Venue
- Proceedings of the 18th annual conference on Computer graphics and interactive techniques
- Publisher
- ACM
- Published
- 1991-07
- Pages
- 217-226
- OpenAlex
- W2096153679
- Cited by
- 216
- References
- 0
- FWCI
- 12.40
- Type
- conference paper
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: Geometrically deformed models: a method for extracting closed geometric models form volume data. https://app.cochat.ai/papers/10.1145/122718.122742
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- Miller, J. V., Breen, D. E., Lorensen, W. E., O'Bara, R. M., & Wozny, M. J. (1991). Geometrically deformed models: a method for extracting closed geometric models form volume data. Proceedings of the 18th annual conference on Computer graphics and interactive techniques. https://doi.org/10.1145/122718.122742
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
