Probabilistic Modeling and Visualization of the Flexibility in Morphable Models

Authors:
M. Lüthi;T. Albrecht;T. Vetter
Affiliations:
Computer Science Department, University of Basel, Switzerland;Computer Science Department, University of Basel, Switzerland;Computer Science Department, University of Basel, Switzerland
Venue:
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Year:
2009

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Abstract

Statistical shape models, and in particular morphable models, have gained widespread use in computer vision, computer graphics and medical imaging. Researchers have started to build models of almost any anatomical structure in the human body. While these models provide a useful prior for many image analysis task, relatively little information about the shape represented by the morphable model is exploited. We propose a method for computing and visualizing the remaining flexibility, when a part of the shape is fixed. Our method, which is based on Probabilistic PCA, not only leads to an approach for reconstructing the full shape from partial information, but also allows us to investigate and visualize the uncertainty of a reconstruction. To show the feasibility of our approach we performed experiments on a statistical model of the human face and the femur bone. The visualization of the remaining flexibility allows for greater insight into the statistical properties of the shape.