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Approche déclarative de la modélisation de surfaces

Abstract : We are interested in the design of surfaces, essentially NURBS, most often considered to model objects. One advantage of these surfaces is to design a form according to the position of control points. The declarative approach of surfaces modelling is developed as a fast and easy way to realize sketches of forms and surfaces. It is also specially devoted to speed up the specialists' design giving them one or several solutions satisfying constraints and properties.

The work achieved during this PhD. is divided into four parts:

* Feasibility study: it was carried out with the Ecole Nationale des Arts et Métiers in Aix-en-Provence. The study was focused on description and on modelling of machine parts.
*Conceptual analysis: This stage, which is fundamental on large projects, enabled us to design the global architecture of our declarative process of surfaces. In order to develop a first prototype we decided to focus on the resolution side divided into two parts: research of solution classes and their construction under constraints.
* Study and development of the "research of solutions classe" part: our approach is based on the behaviour of the surface deformations during its construction phase: two surfaces belong to the same class if their behaviours are similar during the same sequence of deformations.
* Study and development of the "construction under constraints" part: In order to obtain a specific solution surface (or an instance of solution class) we chose a construction method based on successive deformations. These deformations are achieved under more or less strong constraints. Thus, we developed a surface deformation method able to satisfy matching constraints which keep a well-controlled shape of each influence area.

Two applications implementing this work have been developed using the C++ language and are available under MS Windows(R) 32-bit versions, Linux and MacOS X.
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Contributor : Raphaël La Greca <>
Submitted on : Monday, December 5, 2005 - 12:29:21 PM
Last modification on : Monday, March 30, 2020 - 8:45:05 AM
Long-term archiving on: : Friday, April 2, 2010 - 10:40:49 PM


  • HAL Id : tel-00011149, version 1


Raphaël La Greca. Approche déclarative de la modélisation de surfaces. Interface homme-machine [cs.HC]. Université de la Méditerranée - Aix-Marseille II, 2005. Français. ⟨tel-00011149⟩



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