In this Letter, we teach a neural network the solution of the Schrsdinger equation for some model potential energy functions. The network can then predict eigenvalues of other test cases with an error of a few percent.
Application of three-dimensional orthogonal neural network to craniomaxillary reconstruction
โ Scribed by Jung-Hsiang Hsu; Ching-Shiow Tseng
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 329 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0895-6111
No coin nor oath required. For personal study only.
โฆ Synopsis
The purpose of this investigation is to establish a practical method to predict and create surface a proยฎle of bone defects by a well-trained 3-D orthogonal neural network. First, the coordinates of the skeletal positions around the boundary of bone defects are input into the 3-D orthogonal neural network to train it to learn the scattering characteristic. The 3-D orthogonal neural network avoids local minima and converges rapidly. After the neural network has been well trained, the mathematic model of the bone defect surface is generated, and the pixel positions are derived. Herein, to verify its performance the proposed method is applied on a patient with a craniofacial defect.
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