11.9 Oct-Trees (or Octrees) and Voxels for Three-Dimensional Descriptions

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Descriptions, Octree. Descriptions, Voxels. Oct-tree. Octree. Voxels.

11.9.1 Oct-Trees -- Theoretical Issues

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Mylopoulos, J.P., and Pavlidis, T.,
On the Topological Properties of Quantized Spaces I. The Notion of Dimension,
JACM(18), No. 2, April 1971, pp. 239-246. BibRef 7104
On the Topological Properties of Quantized Spaces II. Connectivity and Order of Connectivity,
JACM(18), No. 2, April 1971, pp. 247-254. BibRef

Tourlakis, G., and Mylopoulos, J.P.,
Some Results on Computational Topology,
JACM(20), No. 3, July 1973, 439-455. BibRef 7307

Peacocke, R.[Richard], Mylopoulos, J.P.[John P.],
A region-based formalism for picture processing,
PR(13), No. 6, 1981, pp. 399-416.
Elsevier DOI 0309

Meagher, D.J.R.,
Geometric Modeling Using Octree Encoding,
CGIP(19), No. 2, June 1982, pp. 129-147.
Elsevier DOI BibRef 8206
Efficient Synthetic Image Generation of Arbitrary 3-D Objects,
PRIP82(473-478). BibRef
Octree Encoding,
Tech. Report TR-IPL-80-111, Electrical Systems, RPI1980. BibRef

Doctor, L.J., Torborg, J.G.,
Display Techniques for Octree-Encoded Objects,
IEEE_CGA(1), No. 3, 1981, pp. 29-38. BibRef 8100

Gargantini, I.[Irene],
Linear Octtrees for Fast Processing of Three-Dimensional Objects,
CGIP(20), No. 4, December 1982, pp. 365-374.
Elsevier DOI For Quadtree version:
See also Effective Way to Represent Quadtrees, An. BibRef 8212

Yau, M.M.[Mann-May], and Srihari, S.N.[Sargur N.],
A Hierarchical Data Structure for Multidimensional Digital Images,
CACM(26), No. 7, July 1983, pp. 504-515. BibRef 8307
Recursive Generation of Hierarchical Data Structures for Multidimensional Digital Images,
PRIP81(42-44). General discussion of hierarchical data structures and the extension to 3-D. BibRef

Srihari, S.N.,
Hierarchical Representations for serial Section Images,
ICPR80(1075-1080). BibRef 8000

Yau, M.M.[Mann-May],
Hierarchical Representation of Three-Dimensional Digital Objects,
Ph.D.January 1983, Computer Science, BibRef 8301 SUNY Buffalo BibRef

Chen, H.H.[Homer H.], Huang, T.S.[Thomas S.],
A Survey of Construction and Manipulation of Octrees,
CVGIP(43), No. 3, September 1988, pp. 409-431.
Elsevier DOI Survey, Octree. Octree. A good source for the early history and its relation to graphics where most of the early work was centered. BibRef 8809

Rubin, S.M.[Steven M.],
The Representation and Display of Scenes with a Wide Range of Detail,
CGIP(19), No. 3, July 1982, pp. 291-298.
Elsevier DOI Subset filtering to determine what is appropriate to display. BibRef 8207

Reddy, R.[Raj], Rubin, S.M.[Steven M.],
Representation of Three-Dimensional Objects,
CMU-CS-TR-78-113, April 1978. General volume blocks for 3-D representations. Early implementation of the octree concepts for volume representation as applied to graphics. BibRef 7804

Hunter, G.M.,
Efficient Computation and Data Structures for Graphics,
Ph.D.Thesis (CS), 1978, BibRef 7800 PrincetonUniv.. Early mention of octree data structure. BibRef

Jackins, C.L.[Chris L.], Tanimoto, S.L.[Steven L.],
Oct-trees and Their Use in Representing Three-Dimensional Objects,
CGIP(14), No. 3, November 1980, pp. 249-270.
Elsevier DOI BibRef 8011

Jackins, C.L.[Chris L.], Tanimoto, S.L.[Steven L.],
Quad-Trees, Oct-Trees, and K-Trees: A Generalized Approach to Recursive Decomposition of Euclidean Space,
PAMI(5), No. 5, September 1983, pp. 533-539. BibRef 8309

Elber, G., Shpitalni, M.,
Octree Creation via C.S.G. Definition,
VC(4), 1988, pp. 53-64. BibRef 8800

Brechner, E.L.[Eric L.], Bourassa, V.E.[Virgil E.],
Method for creating spatially balanced bounding volume hierarchies for use in a computer generated display of a complex structure,
US_Patent5,613,049, Mar 18, 1997
WWW Link. BibRef 9703

Sakkalis, T., Shen, G., Patrikalakis, N.M.,
Topological and Geometric Properties of Interval Solid Models,
GM(63), No. 3, May 2001, pp. 163-175.
DOI Link Voxel type models, collection of boxes, faces parallel to the coordinate planes, cover the boundar of the solid. Union with the solid. 0111

Kim, C.S.[Chang-Su], Lee, S.U.[Sang-Uk],
Compact encoding of 3-D voxel surfaces based on pattern code representation,
IP(11), No. 8, August 2002, pp. 932-943.

Meng, H., Gao, L., Lai, Y., Manocha, D.,
VV-Net: Voxel VAE Net With Group Convolutions for Point Cloud Segmentation,
Boolean algebra, convolutional neural nets, geometry, image representation, image segmentation, interpolation, Task analysis BibRef

Tatarchenko, M., Dosovitskiy, A., Brox, T.[Thomas],
Octree Generating Networks: Efficient Convolutional Architectures for High-resolution 3D Outputs,
convolution, image coding, image representation, image resolution, octrees, stereo image processing, 3D convolutional autoencoders, BibRef

Husz, Z.L.[Zsolt L.], Perry, T.P.[Thomas P.], Hill, B.[Bill], Baldock, R.A.[Richard A.],
Woolz IIP: A Tiled On-the-Fly Sectioning Server for 3D Volumetric Atlases,
ISVC09(I: 924-933).
Springer DOI 0911
Fast access to volume data. BibRef

Mukherjee, M.[Maharaj], Vemuri, S.,
A Novel Approach to Represent 3-D Isothetic Scenes Using XYZ Trees,
ICIP96(II: 333-336).
IEEE DOI BibRef 9600

Jungert, E., Chang, S.K.,
The Sigma-Tree Q A Symbolic Spatial Data Model,
IEEE DOI Trees, Sigma. BibRef 9200

Mazumder, P.,
A New Strategy for Octree Representation of Three-Dimensional Objects,
IEEE DOI BibRef 8800

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

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