A selective eraser of curvature extrema for B-spline curves

Demers, Éric; Tribes, Christophe; Guibault, François

doi:10.1016/j.cag.2015.05.014

Cited by 1 publication

(1 citation statement)

References 7 publications

(9 reference statements)

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“…Definition of L t As a compromise between precision and intuition for the user, we propose to approximate L 0 with a B-Spline curve and let the user modify it by moving its control points directly into the immersive environment, possibly combined with a curve fairing step [16] or using [35,48,13]. This simple setting is consistent with the approaches proposed to generate or modify curves into an immersive environment [21,41,4,6].…”

Section: Methods Overview and Initial Settingsmentioning

confidence: 85%

Feature Lines Modification Based on As-Stiff-As-Needed Surface Deformation

Vaou

Léon

Hahmann

et al. 2021

Computer-Aided Design

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Aesthetic surface mesh modification, guided by a deforming feature line, is still a challenging task. Whereas most existing surface deformation methods work well when the new surface is stretched or isometrically deformed, in case of areas subjected to compression, unwanted bulging may appear. This configuration typically appears when a designer slides a feature line along the input surface. In this paper, we present a new approach for feature line modification solving the surface bulging problem. We consider physically-based deformation methods applied to surface meshes and characterize configurations that produce compression loading from a mechanical standpoint. Then, the deformation area is decomposed into two sub-domains with a boundary modification of the one subjected to compression loading. Thus, during a subsequent deformation, this sub-domain no longer undergoes a compression loading but rather a traction loading, which ultimately prevents bulging. This transformation looks like a retraction of this surface area and a corresponding processing pipeline is set up. Our feature line modification method is intuitive to use and runs interactively, making it attractive to be used during design reviews in immersive environments. Industrial examples and comparisons with state-of-theart physically-based deformation methods validate the proposed approach.

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