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Recognition of connected handwritten digit strings is a challenging task due mainly to two problems: poor character segmentation and unreliable isolated character recognition. In this paper, we first present a rational B-spline representation of digit templates based on Pixel-to-Boundary Distance (PBD) maps. We then present a neural network approach to extract B-spline PBD templates and an evolutionary algorithm to optimize these templates. In total, 1,000 templates (100 templates for each of 10 classes) were extracted from and optimized on 10,426 training samples from the NIST Special Database 3. By using these templates, a nearest neighbor classifier can successfully reject 90.7 percent of nondigit patterns while achieving a 96.4 percent correct classification of isolated test digits. When our classifier is applied to the recognition of 4,958 connected handwritten digit strings (4,555 2-digit, 355 3-digit, and 48 4-digit strings) from the NIST Special Database 3 with a dynamic programming approach, it has a correct classification rate of 82.4 percent with a rejection rate of as low as 0.85 percent. Our classifier compares favorably in terms of correct classification rate and robustness with other classifiers that are tested. Index Terms--Connected handwritten digit recognition, pixel-to-boundary distance map, B-spline fitting, digit templates, template optimization, nearest neighbor classifier, multilayer perceptron classifier, evolutionary algorithm.

The electron densities of tissues for medical applications and those of materials for industrial applications can be determined through Compton scattering tomography. There were many attempts in solving the reconstruction problem, and one is the analytic transform method proposed by S.J. Norton. However, the response function he presented is difficult to associate with the measurement quantity.