The Radon transform and its application to shape parametrization in machine vision
Image and Vision Computing - Special issue: papers from the second Alvey Vision Conference
Transfinite interpolation over implicity defined sets
Computer Aided Geometric Design
Principles of computerized tomographic imaging
Principles of computerized tomographic imaging
Heterogeneous object modeling: A review
Computer-Aided Design
A new shape descriptor defined on the Radon transform
Computer Vision and Image Understanding
The finite ridgelet transform for image representation
IEEE Transactions on Image Processing
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Integration of material composition, microstructure, and mechanical properties with geometry information enables design and analysis of materials and products in a computer-aided design (CAD) environment. In this paper, we propose a method for the construction of material models from microstructure images, that can be integrated into a heterogeneous CAD representation. The method utilizes Radon and wavelet transforms to compute a surfacelet representation. A novel feature recognition method was developed to identify microstructure features, including embedded fibers and grain boundaries, from the surfacelet representation. The models and methods were demonstrated with examples of synthetic and engineered polymer nanocomposites, a metal alloy, and a medical dataset of human feet.