Abstract
We discuss the problem of creating editable features for free-form surfaces. The manipulation tool is a user-defined curve on the surface. The surface automatically follows changes of the curve keeping a predefined set of constraints satisfied, specifically the incidence and tangency along one or several surface-curves. We review and update our approach presented earlier [18] and show how the curve-surface composition can be expressed as a linear transformation. In this context, we also describe the so-called “aliasing” problem caused by an incompatibility of a general curve on a surface with the rectangular mesh of degrees of freedom of a tensor product surface. The proposed solution is a local reparametrization in accordance with the feature.
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© 2001 Springer-Verlag Wien
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Michalik, P., Bruderlin, B. (2001). A Constraint-Based Method for Sculpting Free-Form Surfaces. In: Brunnett, G., Bieri, H., Farin, G. (eds) Geometric Modelling. Computing, vol 14. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6270-5_14
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DOI: https://doi.org/10.1007/978-3-7091-6270-5_14
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-83603-3
Online ISBN: 978-3-7091-6270-5
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