Modelling free-form surfaces using a feature-based approach
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
3D sketching for aesthetic design using fully free-form deformation features
Computers and Graphics
Local parameterization of freeform shapes using freeform feature recognition
Computer-Aided Design
3D sketching with fully free form deformation features (δ-F4) for aesthetic design
SBM'04 Proceedings of the First Eurographics conference on Sketch-Based Interfaces and Modeling
A comprehensive process of reverse engineering from 3D meshes to CAD models
Computer-Aided Design
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Freeform features can be regarded as key elements of shape modeling. Commonly, features are defined, controlled and computed using parameters. In this paper we propose a feature formulation strictly based on the parameterization, as a mapping from an arbitrary set to some domain of interest. This formalism accommodates many of the common representation forms and in addition allows 1) the uniform definition of freeform features, 2) the analysis of feature properties, such as their spatial coverage, differentiability, uniqueness, overlap, 3) the comparison of alternative parameterizations for a given type of feature, regarding user control and computation. We have investigated in detail two feature types, the ridge and the hole. The proposed parameterizations indeed provide both interactive user control and automatic feature extraction, which are the key functions of a flexible forward/backward design support tool. Numerical results of the freeform feature parameter extraction process are presented.