Odontological information along cone splines - Université Polytechnique des Hauts-de-France Access content directly
Journal Articles Springer proceedings in Mathematics and Statistics Year : 2015

Odontological information along cone splines


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.
Not file

Dates and versions

hal-03164544 , version 1 (10-03-2021)



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⟩
11 View
0 Download



Gmail Facebook Twitter LinkedIn More