KSpheres – an efficient algorithm for joining skinning surfaces

Bana, Kornél; Kruppa, Kinga; Kunkli, Roland; Hoffmann, Miklós

doi:10.1016/j.cagd.2014.08.003

Cited by 7 publications

(5 citation statements)

References 10 publications

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“…[19] and references therein. Due to its technical importance, skinning has attracted the geometric modelling community in recent years and one can find several papers on this topic, see [20,21,22,23]. One of the application areas is computer animation: given a skeletal pose, skinning algorithms are responsible for deforming the geometric skin to respond to the motion of the underlying skeleton.…”

Section: Skinning Balls In 3d Spacementioning

confidence: 99%

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Skinning and blending with rational envelope surfaces

Bizzarri

Lvika

Kosinka

2017

Computer-Aided Design

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We continue the study of rational envelope (RE) surfaces. Although these surfaces are parametrized with the help of square roots, when considering an RE patch as the medial surface transform in 4D of a spatial domain it yields a rational parametrization of the domain's boundary, i.e., the envelope of the corresponding 2-parameter family of spheres. We formulate efficient algorithms for G 1 data interpolation using RE surfaces and apply the developed methods to rational skinning and blending of sets of spheres and cones/cylinders, respectively. Our results are demonstrated on several computed examples of skins and blends with rational parametrizations.

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Section: Skinning Balls In 3d Spacementioning

confidence: 99%

“…β i , γ i shall be computed to satisfy conditions (22). Since it is enough to choose arbitrary three equations for each identity (22), cf. (17), we solve for each i ∈ {1, ..., n} the following two systems of three linear equations:…”

Section: Re Surface Patches Interpolating Given Points With Boundariementioning

confidence: 99%

Skinning and blending with rational envelope surfaces

Bizzarri

Lvika

Kosinka

2017

Computer-Aided Design

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“…The resulting skinning curves bound the input circles and create an aesthetic shape for modeling purposes. In the last decade, several skinning methods has been developed [14][15][16][17]. The idea has been extended to branched systems of circles to obtain more complex shapes, and also to 3D, introducing the skinning of simple and branched system of spheres.…”

Section: Introductionmentioning

confidence: 99%

Possibilities and Advantages of Rational Envelope and Minkowski Pythagorean Hodograph Curves for Circle Skinning

2021

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Minkowski Pythagorean hodograph curves are widely studied in computer-aided geometric design, and several methods exist which construct Minkowski Pythagorean hodograph (MPH) curves by interpolating Hermite data in the R2,1 Minkowski space. Extending the class of MPH curves, a new class of Rational Envelope (RE) curve has been introduced. These are special curves in R2,1 that define rational boundaries for the corresponding domain. A method to use RE and MPH curves for skinning purposes, i.e., for circle-based modeling, has been developed recently. In this paper, we continue this study by proposing a new, more flexible way how these curves can be used for skinning a discrete set of circles. We give a thorough overview of our algorithm, and we show a significant advantage of using RE and MPH curves for skinning purposes: as opposed to traditional skinning methods, unintended intersections can be detected and eliminated efficiently.

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“…The idea can also be extended to three-dimensional (3D) modeling, leading to the skinning of an input set of spheres. In recent years, several skinning methods have been developed by Kunkli and Hoffmann (2010), Bana et al (2014), Bastl et al (2015), and Kruppa et al (2019). In addition, skinning can be applied in various fields like computer animation (e.g., ZSpheres R (Pixologic Inc., 2020) and Spore TM (Electronic Arts Inc., 2008)), molecular biology, and medical image processing (Rossignac et al, 2007;Slabaugh et al, 2008Slabaugh et al, , 2010Piskin et al, 2017).…”

Section: Introductionmentioning

confidence: 99%

Applying Rational Envelope curves for skinning purposes

Kruppa

2020

Front Inform Technol Electron Eng

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Special curves in the Minkowski space such as Minkowski Pythagorean hodograph curves play an important role in computer-aided geometric design, and their usages are thoroughly studied in recent years. Bizzarri et al. (2016) introduced the class of Rational Envelope (RE) curves, and an interpolation method for G1 Hermite data was presented, where the resulting RE curve yielded a rational boundary for the represented domain. We now propose a new application area for RE curves: skinning of a discrete set of input circles. We show that if we do not choose the Hermite data correctly for interpolation, then the resulting RE curves are not suitable for skinning. We introduce a novel approach so that the obtained envelope curves touch each circle at previously defined points of contact. Thus, we overcome those problematic scenarios in which the location of touching points would not be appropriate for skinning purposes. A significant advantage of our proposed method lies in the efficiency of trimming offsets of boundaries, which is highly beneficial in computer numerical control machining.

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KSpheres – an efficient algorithm for joining skinning surfaces

Cited by 7 publications

References 10 publications

Skinning and blending with rational envelope surfaces

Skinning and blending with rational envelope surfaces

Possibilities and Advantages of Rational Envelope and Minkowski Pythagorean Hodograph Curves for Circle Skinning

Applying Rational Envelope curves for skinning purposes

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