11.12 Representations from Spheres

Badler, N.I., O'Rourke, J., and Toltzis, H.,
A Spherical Representation of a Human Body for Visualizing Movement,
PIEEE(67), 1979, pp. 1397-1403. BibRef 7900

O'Rourke, J., and Badler, N.I.,
Decomposition of Three-Dimensional Objects into Spheres,
PAMI(1), No. 3, July 1979, pp. 295-305. BibRef 7907
And: Correction: PAMI(1), No. 4, October 1979, pp. 417. BibRef
Earlier: A2, A1: PRAI-78(157-159). BibRef

Badler, N.I., and Bajcsy, R.,
3D Representation for Computer Graphics and Computer Vision,
Computer Graphics(12), 1978, pp. 153-160. BibRef 7800

Mohr, R.,
A Refinement of a Spherical Decomposition Algorithm,
PAMI(4), No. 1, January 1982, pp. 51. BibRef 8201

Mohr, R., and Bajcsy, R.,
Packing Volumes by Spheres,
PAMI(5), No. 1, January 1983, pp. 111-116. BibRef 8301

Knapman, J.,
Dupin's Cyclide and the Cyclide Patch,
IVC(5), No. 2, May 1987, pp. 167-173.
WWW Version. Implicit surfaces. The Dupin Cyclides can be looked at in various ways. They are the envelope of spheres touching three other fixed spheres. They are also the envelope of spheres with centres on a conic and touching a sphere. Every Dupin Cyclide is the inverse of a Torus. BibRef 8705

Hebert, M., Ikeuchi, K., Delingette, H.,
A Spherical Representation for Recognition of Free-Form Surfaces,
PAMI(17), No. 7, July 1995, pp. 681-690.
IEEE Abstract.
IEEE DOI Link Generate descriptions from range images. Recognition using similarity of shperical distributions (no search). Generate a mesh description, transform to a shperical form (Spherical Attribut Image -- SAI). BibRef 9507

Delingette, H., and Ikeuchi, K.,
A Spherical Representation for the Recognition of Curved Objects,
ICCV93(103-112).
IEEE DOI Link BibRef 9300
And: DARPA93(831-838). BibRef
And:
Representation and Recognition of Free-Form Surfaces,
CMU-CS-TR-92-214, CMU CS Dept., November 1992. Functional Minimization. The initial shape is deformed until it fits. Then describe a mapping between the mesh and the spherical mesh BibRef

Kumar, M.A., Chatterji, B.N., Mukherjee, J., and Das, P.P.,
Representation of 2D and 3D Binary Images Using Medial Circles and Spheres,
PRAI(10), 1996, pp. 365-387. BibRef 9600

Matej, S., Lewitt, R.M.,
Practical considerations for 3-D image reconstruction using spherically symmetric volume elements,
MedImg(15), No. 1, February 1996, pp. 68-78.
IEEE Top Reference. 0203
BibRef

Borgefors, G., Nystrom, I.,
Efficient Shape Representation by Minimizing the Set of Centers of Maximal Discs/Spheres,
PRL(18), No. 5, May 1997, pp. 465-471. 9708
BibRef

Weistrand, O.[Ola],
Parameterizations of digital surfaces homeomorphic to a sphere using discrete harmonic functions,
PRL(27), No. 16, December 2006, pp. 1934-1941.
WWW Version. 0611
Shape; Shape approximation; Digital surface; Surface parameterization BibRef

Baxansky, A.[Artemy], Kiryati, N.[Nahum],
Calculating geometric properties of three-dimensional objects from the spherical harmonic representation,
PR(40), No. 2, February 2007, pp. 756-770.
WWW Version. 0611
Spherical harmonics; Three-dimensional shape analysis; Star shaped objects; Moments; Fourier series on spheres BibRef

Rivera-Rovelo, J.[Jorge], Bayro-Corrochano, E.[Eduardo],
Medical image segmentation, volume representation and registration using spheres in the geometric algebra framework,
PR(40), No. 1, January 2007, pp. 171-188.
WWW Version. 0611
BibRef
Earlier:
Non-Rigid Alignment and Real-Time Tracking Using the Geometric Algebra Framework,
ICPR06(IV: 675-678).
IEEE DOI Link 0609
BibRef
Earlier:
Segmentation and Volume Representation Based on Spheres for Non-rigid Registration,
CVBIA05(449-458).
Springer DOI Link 0601
Image segmentation; Volumetric data representation; Marching cubes; Non-rigid registration; Delaunay tetrahedrization; Conformal geometric algebra BibRef

Bayro-Corrochano, E.[Eduardo], Rivera-Rovelo, J.[Jorge],
The Use of Geometric Algebra for 3D Modeling and Registration of Medical Data,
JMIV(34), No. 1, May 2009, pp. xx-yy.
Springer DOI Link 0905
BibRef
And:
Object Manipulation using Fuzzy Logic and Geometric Algebra,
ICPR06(I: 1120-1123).
IEEE DOI Link 0609
BibRef

Penna, M.A.[Michael A.], Dines, K.A.[Kris A.],
A Simple Method for Fitting Sphere-Like Surfaces,
PAMI(29), No. 9, September 2007, pp. 1673-1678.
IEEE DOI Link 0709
Fit spheres to sparse, scattered, data points. BibRef

Spillmann, J.[Jonas], Becker, M.[Markus], Teschner, M.[Matthias],
Efficient updates of bounding sphere hierarchies for geometrically deformable models,
JVCIR(18), No. 2, April 2007, pp. 101-108.
WWW Version. 0711
Physically-based modeling; Collision detection; Point-based models; Shape matching; Deformable objects BibRef

Schmedding, R.[Ruediger], Teschner, M.[Matthias],
Inversion handling for stable deformable modeling,
VC(24), No. 7-9, July 2008, pp. xx-yy.
Springer DOI Link 0804
BibRef

Liu, K.[Kun], Skibbe, H.[Henrik], Schmidt, T.[Thorsten], Blein, T.[Thomas], Palme, K.[Klaus], Ronneberger, O.[Olaf],
3D Rotation-Invariant Description from Tensor Operation on Spherical HOG Field,
BMVC11(xx-yy).
HTML Version. 1110
BibRef

Skibbe, H.[Henrik], Reisert, M.[Marco], Schmidt, T.[Thorsten], Palme, K.[Klaus], Ronneberger, O.[Olaf], Burkhardt, H.[Hans],
3D Object Detection Using a Fast Voxel-Wise Local Spherical Fourier Tensor Transformation,
DAGM10(412-421).
Springer DOI Link 1009
See also Robust Identification of Locally Planar Objects Represented by 2D Point Clouds under Affine Distortions. BibRef

Egger, J.[Jan], Bauer, M.H.A.[Miriam H. A.], Kuhnt, D.[Daniela], Carl, B.[Barbara], Kappus, C.[Christoph], Freisleben, B.[Bernd], Nimsky, C.[Christopher],
Nugget-Cut: A Segmentation Scheme for Spherically- and Elliptically-Shaped 3D Objects,
DAGM10(373-382).
Springer DOI Link 1009
BibRef

Broutta, A.[Alain], Coeurjolly, D.[David], Sivignon, I.[Isabelle],
Hierarchical Discrete Medial Axis for Sphere-Tree Construction,
IWCIA09(56-67).
Springer DOI Link 0911
BibRef

Witzgall, C., Cheok, G.S., Kearsley, A.J.,
Recovering Spheres from 3D Point Data,
AIPR06(8-8).
IEEE DOI Link 0610
BibRef

Zhou, S.J.[Shi-Jian], Guan, Y.L.[Yun-Lan], Zhan, X.W.[Xin-Wu], Lu, T.D.[Tie-Ding],
Robust Algorithm for Fitting Sphere to 3D Point Clouds in Terrestrial Laser Scanning,
ISPRS08(B5: 519 ff).
PDF Version. 0807
BibRef

Rekik, W.[Wafa], Béréziat, D.[Dominique], Dubuisson, S.[Séverine],
3D+t Reconstruction in the Context of Locally Spheric Shaped Data Observation,
CAIP07(482-489).
Springer DOI Link 0708
BibRef

Wijewickrema, S.N.R.[Sudanthi N.R.], Paplinski, A.P.[Andrew P.], Esson, C.E.[Charles E.],
Reconstruction of Spheres using Occluding Contours from Stereo Images,
ICPR06(I: 151-154).
IEEE DOI Link 0609
BibRef

Donoser, M.[Michael], Bischof, H.[Horst],
3D Segmentation by Maximally Stable Volumes (MSVs),
ICPR06(I: 63-66).
IEEE DOI Link 0609
BibRef

Strand, R.[Robin],
A Classification of Centres of Maximal Balls in Z3,
SCIA05(1057-1065).
Springer DOI Link 0506
BibRef

Bischoff, S., Kobbelt, L.P.[Leif P.],
Ellipsoid decomposition of 3D-models,
3DPVT02(480-488).
IEEE DOI Link 0206
BibRef

Llanes, J.[Jesus], Adan, A.[Antonio], Salamanca, S.[Santiago],
A New Segmentation Approach for Old Fractured Pieces,
CIARP09(161-168).
Springer DOI Link 0911
BibRef

Adan, M., Adan, A., Cerrada, C., Merchan, P., Salamanca, S.,
Weighted cone-curvature: Applications for 3D shapes similarity,
3DIM03(458-465).
IEEE Abstract. 0311
BibRef

Adan, A.[Antonio], Salamanca, S.[Santiago], Cerrada, C., Merchan, P.,
Reconstruction of spherical representation models from multiple partial models,
3DPVT02(532-535).
IEEE DOI Link 0206
BibRef

Salamanca, S.[Santiago], Adán, A.[Antonio], Cerrada, C.[Carlos],
Controlled Fusion of Multiple Partial Models to Reconstruct a Regularized 3-D Complete Model,
VMV01(xx-yy).
PDF Version. 0209
BibRef
Earlier: A1, A3, A2:
HWM: a New Spherical Representation Structure for Modeling Partial Views of an Object,
ICPR00(Vol III: 770-773).
IEEE DOI Link 0009
BibRef

Ahn, J.H.[Jeong-Hwan], Ho, Y.S.[Yo-Sung],
An Efficient Geometry Compression Method for 3D Objects in the Spherical Coordinate System,
ICIP99(II:482-486).
IEEE Abstract. BibRef 9900

Fekete, G., Davis, L.S.,
Property Spheres: A New Representation for 3-D Object Recognition,
CVWS84(192-201). BibRef 8400

Chapter on 3-D Object Description and Computation Techniques, Surfaces, Deformable, View Generation, Video Conferencing continues in
Other Description Techniques .