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Odontological information along cone splines

Abstract : Developable surfaces are a subset of ruled surfaces, which can be mapped onto a plane without deformation. Due to this property, they have considerable relevance in several applications. In the medical area, regarding information visualization along sections of organs, they could be useful in clinical diagnosis. They have also industrial applications, including footwear and clothing industries, where three-dimensional (3D) designs are made from flat materials. In this research, we consider the issue of approximating developable surfaces with segments of circular cones, with the aim of constructing splines that model interesting surfaces. Our emphasis will be in the odontological area. We present examples of “panoramic views” of curved sections of human jaw which contain information about all the dental pieces. Moreover, the process allows for the simultaneous display of these pieces in a flat surface, without metric distortion.
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Submitted on : Wednesday, March 10, 2021 - 8:58:46 AM
Last modification on : Tuesday, October 19, 2021 - 6:38:17 PM

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Cindy González, Marco Paluszny. Odontological information along cone splines. Springer proceedings in Mathematics and Statistics, 2015, 121, p. 219-233. ⟨10.1007/978-3-319-12583-1_15⟩. ⟨hal-03164544⟩

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