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B-Spline Subdivision. • We can make the B-spline basis functions as the sum of smaller copies of themselves. • N(t) = 1/8 N(2t) + 1/2 N(2t – 1/8) + ...

http://www.cs.arizona.edu/classes/cs534/catmullclark.pdf

by M Bertram - Cited by 22

https://computing.llnl.gov/vis/images/pdf/BertramDuchaineauHamannJoy2003A.pdf

first develop a bivariate B-spline wavelet scheme for fi subdivision and then ..... We have introduced i/z subdivision combined with n-variate B-spline ...

https://computing.llnl.gov/vis/images/pdf/LargeScaleVolumeRepresentation.pdf

Subdivision can be used to draw the B-spline curves in a way similar to Bezier curves. The B-spline subdivision can be obtained by superposing two kinds of ...

http://www.cc.gatech.edu/classes/AY2004/cs4451a_fall/subd.pdf

Subdivision can be used to draw the B-spline curves in a way similar to Bezier .... Figure 3: The Cubic B-spline Subdivision. One can think of one step as a ...

http://www.cc.gatech.edu/classes/AY2007/cs3451_spring/subd.pdf

on the theory of B-splines and our current quad-grid subdivision surfaces can be ... non-uniform B-spline subdivision in terms of a composite of steps ...

http://www.springerlink.com/index/w1476g263h216358.pdf

rithm to interpolate B-spline curves by a re- cursive subdivision surface. The vertices and edges of a control polygon that defines ...

http://www.springerlink.com/index/5T3X9RD74J1W44MJ.pdf

by J Peters - 1998 - Cited by 93

http://eprints.kfupm.edu.sa/25614/1/25614.pdf

bicubic, and biquintic B-Spline subdivision. While the bilinear and bicubic constructions perform well in numerical experiments, the ...

http://ieeexplore.ieee.org/iel5/2945/28480/01272731.pdf

Abstract - This paper presents a method to reconstruct a B-spline surface from a quadrangular mesh, using an inverse Catmull-. Clark subdivision. ...

http://ieeexplore.ieee.org/iel5/5174598/5174599/05174628.pdf?arnumber=5174628

by KT Miura - Related articles

http://ktm11.eng.shizuoka.ac.jp/profile/ktmiura/pdf/adaptive.pdf

In this paper we show that the subdivision rules for uniform B-spline surfaces ..... Analysis OfGeneralized B-Splines Subdivision Algorithms. To appear ...

http://www.dgp.toronto.edu/people/stam/reality/Research/pdf/cagd01.pdf

by G Casciolaa - 2007 - Cited by 1

http://amsacta.cib.unibo.it/2532/01/ep_condition.pdf

quadratic and bicubic B-spline subdivision. In the case of generalized biquadratic subdivision the analysis yields a hitherto unknown sharp bound strictly ...

http://www.cs.purdue.edu/research/technical_reports/1996/TR 96-066.pdf

by KI Joy - Cited by 2

http://idav.ucdavis.edu/education/CAGDNotes/Cubic-B-Spline-Curve-Refinement.pdf

by KI Joy - Cited by 1

http://idav.ucdavis.edu/education/CAGDNotes/Quadratic-B-Spline-Curve-Refinement.pdf

B-spline Subdivisions. Spline curves. Chaikin Subdivision: quadratic B-spline. Cubic B-spline subdivision. Tensor product surfacesá ...

http://pages.cpsc.ucalgary.ca/~samavati/cpsc453/pdfs/modeling2.pdf

Cubic B-spline Subdivision. ❖ The same approach for the knot insertion .... ❖Any B-spline algorithm, including subdivision rules, can be ...

http://pages.cpsc.ucalgary.ca/~samavati/cpsc589/pdfs/nsubdiv1.pdf

by T Cashman - Cited by 5

http://www.cl.cam.ac.uk/~tc270/tnubssuras.pdf

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http://www.cl.cam.ac.uk/~tc270/tmosxii.pdf

bivariate uniform b-spline subdivision. • instead, lets apply one step of horizontal subdivision and one step of vertical subdivision. ...

http://www.fas.harvard.edu/~lib175/notes/handout11.pdf

by S Schaefer - Cited by 5

http://faculty.cs.tamu.edu/schaefer/research/nonuniformLR.pdf

by S Schaefer - Cited by 6

http://faculty.cs.tamu.edu/schaefer/research/splineIFS.pdf

by KI Joy - Cited by 1

http://www.cs.ucr.edu/~vbz/resources/Catmull-Clark.pdf

B-Spline subdivision. D.A. Forsyth, with slides from John Hart. Page 2. Page 3. Page 4. Page 5. Page 6. Page 7. Page 8. Page 9. Example. Page 10 ...

http://luthuli.cs.uiuc.edu/~daf/courses/CS-419/Geometry/BSplineSubdivision.pdf

by D Lacewell - Cited by 1

http://www.cs.utah.edu/~lacewell/subdeval/stamboundary.pdf

by K Poon - Related articles

http://algorithmicbotany.org/papers/sigcourse.2003/3-23-multires.pdf

by P Prusinkiewicz - Cited by 21

http://algorithmicbotany.org/papers/subc.ijsm2003.pdf

by J O’Brien - Related articles

http://www-inst.eecs.berkeley.edu/~cs184/fa09/lectures/14-Subdivision.pdf

by FF Samavati - Cited by 2

http://www.cgl.uwaterloo.ca/~rhbartel/Papers/FaramarzProgMesh.pdf

by G Sapiro - Cited by 6

http://www.cs.technion.ac.il/~freddy/papers/Papers68.PDF

by AM Bruckstein - Cited by 1

http://mit.dspace.org/bitstream/handle/1721.1/3354/P-2225-29894285.pdf?sequence=1

by M Bertram - Cited by 8

http://www-hagen.informatik.uni-kl.de/~bertram/papers/cagd05.pdf

bic, and quintic B-spline subdivision, see Bertram. (2000). A variety of different symmetric wavelets can be constructed and generalized to ...

http://www-hagen.informatik.uni-kl.de/~bertram/papers/Dagstuhl00.pdf

manner is exactly the point obtained with 9 - 3 - 3 - 1 ratio applied to the vertices of F as in the quadratic B-spline subdivision. Let v,w ...

http://www.cse.ohio-state.edu/~tamaldey/course/784/note18.pdf

Lecture 17: Subdividing Biquadratic B-spline Surfaces R. M atrix equation. We will generalize the matrix subdivision technique for B-spline curves to ...

http://www.cse.ohio-state.edu/~tamaldey/course/784/note17.pdf

by J Wallner - Cited by 30

http://www.geometrie.tuwien.ac.at/wallner/sgsd.pdf

by J WALLNER - Cited by 17

http://www.geometrie.tugraz.at/wallner/sbdgr.pdf

by J WALLNER - Cited by 67

http://www.geometrie.tugraz.at/wallner/sbd1.pdf

by J Lowther - Cited by 8

http://www.cs.mtu.edu/~shene/PUBLICATIONS/2003/dm2.pdf

by L Linseni - Cited by 3

http://www.math-inf.uni-greifswald.de/~linsen/publications/LinsenGrayPascucciDuchaineauHamannJoy03.pdf

B-splines and Subdivision. 2. B-Splines (Uniform). Through repeated integration ... Refinability of B-Splines. B-Spline refinement equation ...

http://www.mpi-inf.mpg.de/~ag4-gm/slides/b-splines.pdf

[6] Peters, J., and Reif, U. Analysis of generalized B-spline subdivision algorithms. Tech. rep., University of Stuttgart, Fachbereich Mathematik, 1996. ...

http://128.10.19.20/research/technical_reports/1996/TR 96-032.pdf

by E Catmull - Cited by 1328

http://www.cs.jhu.edu/~cohen/Seminar/cc.pdf

The control polygon of a periodic B-spline subdivision curve is refined by repetitive knot-doubling. Knot-doubling here refers to the process of inserting a ...

http://www.nakl.t.u-tokyo.ac.jp/~masuda/papers/ktm.pdf

of control points that define a bicubic B-spline patch. The subdivision steps can be computed very efficiently in the eigenbasis of the subdivision matrix, ...

http://akpeters.metapress.com/index/DL315Q77J6737N67.pdf

by J Stam - Cited by 72

http://reference.kfupm.edu.sa/content/o/n/on_subdivision_schemes_generalizing_unif_117253.pdf

by J Feng - Cited by 1

http://www.cad.zju.edu.cn/chinagraph/chinese/specialtopic/animation/AccFFD2.pdf

by A Powell - Cited by 2

http://www.gvu.gatech.edu/~jarek/papers/ScrewBender.pdf

by Z Mao - Related articles

http://wscg.zcu.cz/WSCG2005/Papers_2005/Short/C41-full.pdf