Reshaping polygonal meshes with smoothed normals extracted from ultrasound volume data: an optimization approach

Raul San Jose; Carlos Alberola-Lopez; Juan Ruiz-Alzola

doi:10.1117/12.428226

30 May 2001 Reshaping polygonal meshes with smoothed normals extracted from ultrasound volume data: an optimization approach

Raul San Jose, Carlos Alberola-Lopez, Juan Ruiz-Alzola

Author Affiliations +

Proceedings Volume 4325, Medical Imaging 2001: Ultrasonic Imaging and Signal Processing; (2001) https://doi.org/10.1117/12.428226
Event: Medical Imaging 2001, 2001, San Diego, CA, United States

Abstract

Several methods exploit the relative motion between the probe and the object being scanned to figure out an estimate of the normals of the existing structures in a volume. These methods are revealed as a good estimator for normals, at least better than simple gradient schemes. On the other hand, polygonal meshes can be obtained directly from raw data by means of tiling algorithms. Although these meshes are good representations of isosurfaces in CT or MRI data, as far as ultrasound is concerned, results are quite noisy, so more effort is needed in developing algorithms that will be able to enhance the structures in the images. In this paper we propose a method that reshapes the geometry of meshes using the information given by normals. Rendering the meshes with the estimated normals is meaningful smoothness is observed. Therefore it is reasonable to obtain a new geometry for the meshes by imposing the normals as an external condition. In order to achieve coherence between the two entities (polygonal meshes and normals), a local optimization approach is proposed. For each vertex, the position that minimizes the norm of the error between the geometric normal and the external normal is worked out. A second term in the objective function favors solutions that are closer to the current state of the mesh. This minimization process is applied to all vertices that constitute the mesh and it is iterated so as to find a global minimum in the objective function. Our results show a better match of external normals and meshes, which draws more natural surface-rendered images.

Citation Download Citation

Raul San Jose, Carlos Alberola-Lopez, and Juan Ruiz-Alzola "Reshaping polygonal meshes with smoothed normals extracted from ultrasound volume data: an optimization approach", Proc. SPIE 4325, Medical Imaging 2001: Ultrasonic Imaging and Signal Processing, (30 May 2001); https://doi.org/10.1117/12.428226

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