11 May 1994 Embedded active surfaces for volume visualization
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Abstract
We propose a new technique for use in the visualization of sparse, fuzzy, or noisy 3D data. This technique incorporates the methods of deformable or active models that have been developed in 2D computer vision. In this paper we generalize such models to 3D in a manner that is both practical and mathematically elegant, and we thereby avoid many of the problems associated with previous attempts to generalize deformable models. When generalizing to 3D, deformable models have several drawbacks-- including their acute sensitivity to topology, parameterization, and initial conditions--which limit their effectiveness. Many of these problems stem from the underlying parameterization of the model. This paper presents an implicit representation of deformable models. The implicit representation is an embedding of objects as level sets of grayscale functions which serve as templates. The evolution equation associated with the energy minimization process for a model has an analogous partial differential equation which governs the behavior of the corresponding grayscale template. We show that the 'active blobs' associated with the embedding of active models have several useful properties. First, they are topologically flexible. Second, grayscale images represent families of models. Third, when surfaces are embedded as grayscale images, they are described by a natural scale space. This scale space provides the ability to solve these equations in a multi-scale manner. Several 2D examples of technique are presented, as well as some visualization results from 3D ultrasound.
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Ross T. Whitaker, Ross T. Whitaker, David Chen, David Chen, } "Embedded active surfaces for volume visualization", Proc. SPIE 2167, Medical Imaging 1994: Image Processing, (11 May 1994); doi: 10.1117/12.175068; https://doi.org/10.1117/12.175068
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