Locally restricted blending of Blobtrees

Groot, Erwin de; Wyvill, Brian; Wetering, Huub van de

doi:10.1016/j.cag.2009.04.007

Cited by 12 publications

(7 citation statements)

References 17 publications

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“…In addition to trivial operators such as maximum, minimum [Sabin 1968] and sum of field functions [Blinn 1982], n-ary composition operators include set-theoretic operations [Pasko et al 1995], superelliptic blends [Ricci 1973], extended convolution operators for topology control [Zanni et al 2015] as well as various n-ary blends with range control [Barthe et al 1998;de Groot et al 2009;Hsu 2018;Hsu and Lee 2003]. The definition of n-ary operators can be tedious and their theory is not as deeply studied as the one of binary compositions.…”

Section: Implicit Surfacesmentioning

confidence: 99%

Implicit untangling

et al. 2019

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Section: Implicit Surfacesmentioning

confidence: 99%

Implicit untangling

et al. 2019

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“… Super-ellipsoids: T(X)=(|x/a| p +|y/b| p +|z/c| p ) 1/p ,  Super-quadrics: T(X)=((|x/a| p1 +|y/b| p1 ) p2/p1 +|z/c| p2 ) 1/p2 ,  Generalized distance functions [2].…”

Section: Ray-scaling Operationsmentioning

confidence: 99%

Ray-Scaling Operations for Deformation of Soft Objects

Hsu¹

2016

JCP

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In soft object modeling, in order to make the shapes of primitive soft objects more diverse, this paper proposes ray-scaling operations to deform a primitive soft object. The proposed ray-scaling operations perform scaling via a given scaling object. But unlike scaling of affine transform which gives the same scaling factor to all the points, ray-scaling operations give each point in different directions an individual and a different scaling factor obtained from the ray-scaling object. As a result, by choosing suitable scaling objects, ray-scaling operations are able to erode or dilate a soft object locally with many special deformation effects. This paper also applies super-ellipsoids, super-quadrics and generalized distance functions to define a scaling object, and then successfully deforms a sphere into a six-balled, eight-balled or ten-balled object by using scaling objects of polyhedron, each of whose facets can deform to be a ball.

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“…This method enables a variety of blending styles and users can tune it in order to control the smoothing of small details. Another method, presented in [dGWvdW09], uses a local restriction of the blending range to control blending and can be used to improve blending of small details into larger ones. By introducing a complex binary operator based on extra influence primitives generated at the intersection of the input surfaces, [BBCW10] was able to overcome the blurring details problem automatically.…”

Section: Blobtree and Blendingmentioning

confidence: 99%

SCALe‐invariant Integral Surfaces

Zanni

Bernhardt

Quiblier

et al. 2013

Computer Graphics Forum

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International audienceExtraction of skeletons from solid shapes has attracted quite a lot of attention, but less attention was paid so far to the reverse operation: generating smooth surfaces from skeletons and local radius information. Convolution surfaces, i.e. implicit surfaces generated by integrating a smoothing kernel along a skeleton, were developed to do so. However, they failed to reconstruct prescribed radii and were unable to model large shapes with fine details. This work introduces SCALe-invariant Integral Surfaces (SCALIS), a new paradigm for implicit modeling from skeleton graphs. Similarly to convolution surfaces, our new surfaces still smoothly blend when field contributions from new skeleton parts are added. However, in contrast with convolution surfaces, blending properties are scale invariant. This brings three major benefits: the radius of the surface around a skeleton can be explicitly controlled, shapes generated in blending regions are self-similar regardless of the scale of the model, and thin shape components are not excessively smoothed out when blended into larger ones

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Locally restricted blending of Blobtrees

Cited by 12 publications

References 17 publications

Implicit untangling

Implicit untangling

Ray-Scaling Operations for Deformation of Soft Objects

SCALe‐invariant Integral Surfaces

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