Elsevier

Computer-Aided Design

Volume 24, Issue 4, April 1992, Pages 178-191
Computer-Aided Design

Research
Discrete smooth interpolation in geometric modelling

https://doi.org/10.1016/0010-4485(92)90054-EGet rights and content

Abstract

In such fields as geology and biology, a common problem is that of modelling complex surfaces that are defined by data of various types. Classical modelling techniques based on Bézier and spline interpolations can account for only some of these types of data. The paper proposes a different approach that is based on the discrete smooth interpolation method. In this approach, surfaces are modelled as 2D graphs whose node locations are determined for a wide variety of heterogeneous data.

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Jean Laurent Mallet is currently a professor at the Ecole Nationale Supérieure de Géologie, France, where he has been the head of the Computer Science Department since 1981. He is also a member of the Centre National de la Recherche Scientifique (CRIN/CRPG), France, where he is the head of a research group that specializes in the modelling, processing and display of 3D data. He has an MSc in numerical analysis, and a PhD in computer science from the Institut National Polytechnique de Lorraine, France. Over the last 20 years, he has published a series of papers in the fields of automatic mapping and data analysis. In 1988, he launched the Gocad research project.

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