Sketch- and constraint-based design of B-spline surfaces

Michalik, Paul; Kim, Dae Hyun; Brüderlin, Beat

doi:10.1145/566282.566325

Cited by 34 publications

(32 citation statements)

References 12 publications

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“…A designer specifies a 3D target curve [28], [29] near to a NURBS surface, which is then deformed so that a part of the surface includes the curve. This approach is superior to the use of the NURBS control grid because it accords more clearly with a designer's intuitive abilities.…”

Section: Surface Deformation Using a 3d Target Curvementioning

confidence: 99%

Deforming NURBS Surfaces to Target Curves for Immersive VR Sketching

Kwon

Lee

Kim

et al. 2010

IEICE Trans. Inf. & Syst.

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SUMMARYDesigning NURBS surfaces by manipulating control points directly requires too much trial and error for immersive VR applications. A more natural interface is provided by deforming a NURBS surface so that it passes through a given target point; and by repeating such deformations we can make the surface follow one or more target curves. These deformations can be achieved by modifying the pseudo-inverse matrix of the basis functions, but this matrix is often ill-conditioned. However, the application of a modified FE approach to the weights and control points provides controllable deformations, which are demonstrated across a range of example shapes.

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Section: Surface Deformation Using a 3d Target Curvementioning

confidence: 99%

Deforming NURBS Surfaces to Target Curves for Immersive VR Sketching

Kwon

Lee

Kim

et al. 2010

IEICE Trans. Inf. & Syst.

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“…Michaelik et al [14] suggested a method to sketch BSpline curves but did not detail how to address the aforementioned problems. Our approach here combines two methods from Fowler et al [9] and Baudel [5]; by which it resolves the locality constraints inherent from B-Spline knot structure in the pen-input sketching environment.…”

Section: Copyright C 2009 the Institute Of Electronics Information Amentioning

confidence: 99%

“…The second method, re-sketching an arbitrary curve on a target B-Spline surface and deforming the surface to exactly follow the surface curve involves a singular matrix to be solved [14]; moreover, this singular system is mostly illconditioned and causes unexpected results. Such an exact method, however, is not necessary for interactive sketching applications.…”

Section: Extension To Surface Sketchingmentioning

confidence: 99%

A New Cubic B-Splines Design Method for Pen Input Environment

Kim

2009

IEICE Trans. Inf. & Syst.

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SUMMARYPen-input is not a new means for CAD designers, in particular, in the concept design phase. Meanwhile, B-Splines are well known curve and surface design tool in 3D shape modeling in the final modeling stages in which neat curves and surfaces should be produced. In this paper, an intuitive B-Spline design method that can be used for the CAD systems both in conceptual modeling phase and in later design phases is proposed. Unlike the control point based interactive modification schemes for the Bspline curves and surfaces, we extend what has been called the "touchand-replace" method used for poly-line modification in the late 1980s to B-Splines; our approach uses successive pen strokes to modify the final shape of the existing B-Spline curves and surfaces. We also show related user test results in this paper as an empirical proof.

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“…Methods for surface deformation subject to point, line or surface constraints, needed for the generation of d-F 4 , have been widely studied [18][19][20][21][22][23][24][25]. Nevertheless, these approaches are far from being intuitive, the manipulations often limited and the shape behaviour badly controlled.…”

Section: The Deformation Enginementioning

confidence: 99%

3D sketching for aesthetic design using fully free-form deformation features

Cheutet

Catalano

Pernot

et al. 2005

Computers & Graphics

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractThis paper addresses the designers' activity and in particular the way designers express an object shape in 2D sketches through character lines and how these lines form a basis for sketching shapes in 3D. The tools currently available in commercial CAS/CAD systems to manipulate the digital models are still not sufficiently suited to support design. In this paper, the so-called fully free-form deformation features (d-F 4 ) are introduced as a modelling method to take into account the curve-oriented stylists' way of working. Both the advantages of a free-form surface deformation method and a feature-based approach are merged to define these high-level modelling entities allowing for a direct manipulation of surfaces through a limited number of intuitive parameters. Such features incorporate several characteristics designed to handle the uncertainties and/or inconsistencies of the designer's input during a sketching activity. In addition, a d-F 4 classification is proposed to enable a fast access to the desired shape according to its semantics and characteristics.

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Sketch- and constraint-based design of B-spline surfaces

Cited by 34 publications

References 12 publications

Deforming NURBS Surfaces to Target Curves for Immersive VR Sketching

Deforming NURBS Surfaces to Target Curves for Immersive VR Sketching

A New Cubic B-Splines Design Method for Pen Input Environment

3D sketching for aesthetic design using fully free-form deformation features

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