Witten, M.[Matthew],
Compactification of information in R-color 2-dimensional rectangular
patterns,
PR(10), No. 5-6, 1978, pp. 323-326.
Elsevier DOI
0309
BibRef
Samet, H.,
The Quadtree and Related Hierarchical Data Structures,
Surveys(16), No. 2, June, 1984, pp. 187-260.
Quadtree, Survey.
Survey, Data Structures.
Survey, Quadtree. (UMd)
The paper to define and explor quadtrees.
BibRef
8406
Eastman, C.M.[Charles M.],
Automated Space Planning,
AI(4), No. 1, Spring 1973, pp. 41-64.
Elsevier DOI
BibRef
7300
And:
Representations for Space Planning,
CACM(13), No. 4, April 1970, pp. 242-250.
BibRef
Kirsch, R.A.,
Resynthesis of Biological Iamges from
Tree-Structured Decomposition Data,
GL72(1-19).
BibRef
7200
Finkel, R.A.,
Bentley, J.L.,
Quad Trees: A Data Structure for Retrieval on Composite Keys,
Acta Inf.(4), No. 1, 1974, pp. 1-9.
BibRef
7400
Bentley, J.L.,
Multidimensional Binary Search Trees Used for
Associative Searching,
CACM(18), No. 9, September 1975, pp. 509-511.
BibRef
7509
Bentley, J.L.,
Friedman, J.H.,
Data Structures for Range Searching,
Surveys(11), No. 4, December 1979, pp. 397-409.
Survey, Data Structures.
BibRef
7912
Klinger, A.,
Dyer, C.R.[Charles R.],
Experiments on Picture Representation Using Regular Decomposition,
CGIP(5), No. 1, March 1976, pp. 68-105.
Quadtree.
BibRef
7603
Klinger, A.,
Rhodes, M.L.,
Organization and Access of Image Data by Areas,
PAMI(1), No. 1, January 1979, pp. 50-60.
BibRef
7901
Klinger, A.,
Searching Images,
PRAI-78(177-180).
BibRef
7800
Alexandridis, N.A.,
Klinger, A.,
Picture Decomposition, Tree Data-Structures, and identifying
Directional Symmetries as Node Combinations,
CGIP(8), 1978, pp. 43-77.
BibRef
7800
Klinger, A.,
Data Structures and Pattern Recognition,
ICPR76(497-498).
BibRef
7600
And:
Regular Decomposition and Picture Structure,
SMC-C74(xx).
BibRef
Gargantini, I.,
An Effective Way to Represent Quadtrees,
CACM(25), No. 12, December 1982, pp. 905-910.
For Octtree version:
See also Linear Octtrees for Fast Processing of Three-Dimensional Objects.
BibRef
8212
Dyer, C.R.[Charles R.],
The Space Efficiency of Quadtrees,
CGIP(19), No. 4, August 1982, pp. 335-348.
Elsevier DOI
BibRef
8208
Bell, S.B.M.,
Diaz, B.M.,
Holroyd, F.C., and
Jackson, M.J.,
Spatially Referenced Methods of Processing Raster and Vector Data,
IVC(1), No. 4, November 1983, pp. 211-220.
Elsevier DOI
BibRef
8311
Bell, S.B.M.[Sarah B.M.],
Holroyd, F.C.[Fred C.],
Tesseral Amalgamators And Hierarchical Tessellations,
IVC(9), No. 5, October 1991, pp. 313-328.
Elsevier DOI
BibRef
9110
Matsuyama, T.[Takashi],
Hao, L.V.[Le Viet],
Nagao, M.[Makoto],
A File Organization for Geographic Information Systems Based
on Spatial Proximity,
CVGIP(26), No. 3, June 1984, pp. 303-318.
Elsevier DOI k-d tree implementations. Disk optimization.
BibRef
8406
Milford, D.J.,
Willis, P.C.,
Quad Encoded Display,
IEE-P(E: 131), No. 3, May 1984, pp. 70-75.
BibRef
8405
Samet, H.[Hanan],
Hierarchical Representations of Collections of Small Rectangles,
Surveys(20), No. 4, December, 1988, pp. 271-309.
Survey, Data Structures. Extension of the quadtree idea to general rectangles.
BibRef
8812
Nelson, R.C.,
Samet, H.[Hanan],
A Consistent Hierarchical Representation for Vector Data,
Computer Graphics(20), No. 4, August 1986, pp. 197-206.
BibRef
8608
Samet, H.[Hanan],
Applications of Spatial Data Structures,
Reading, MA:
Addison-Wesley1990.
BibRef
9000
Book
BibRef
Samet, H.[Hanan],
Design and Analysis of Spatial Data Structures,
Reading, MA:
Addison-Wesley1990. (or 1989??)
BibRef
9000
Book
BibRef
Samet, H.[Hanan],
Deletion in Two-Dimensional Quad Trees,
CACM(23), No. 12, December 1980, pp. 703-710.
BibRef
8012
Samet, H.[Hanan],
Webber, R.E.[Robert E.],
On Encoding Boundaries with Quadtrees,
PAMI(6), No. 3, May, 1984, pp. 365-369.
BibRef
8405
And:
Storing Collections of Polygons Using Quadtrees,
TOG(4), 1985, pp. 182-222.
BibRef
And:
Using Quadtrees to Represent Polygonal Maps,
CVPR83(127-132).
More on the quad-tree problem for lines.
BibRef
Samet, H.[Hanan],
Webber, R.E.[Robert E.],
A Comparison of the Space Requirements of Multi-Dimensional
Quadtree-Based File Structures,
VC(5), 1989, pp. 349-359.
BibRef
8900
Samet, H.[Hanan],
Rosenfeld, A.[Azriel],
Shaffer, C.A.[Clifford A.],
Webber, R.E.[Robert E.],
Quadtree Region Representation in Cartography: Experimental Results,
SMC(13), 1983, pp. 1148-1154.
BibRef
8300
And:
A Geographic Information System Using Quadtrees,
PR(17), No. 6, 1984, pp. 647-656.
Elsevier DOI
BibRef
And:
Processing Geographic Data with Quadtrees,
ICPR84(212-215).
Storage of special data structures.
BibRef
Samet, H.[Hanan],
Shaffer, C.A.[Clifford A.],
Webber, R.E.[Robert E.],
The Segment Quadtree: A Linear Quadtree-Based
Representation for Linear Features,
CVPR85(385-389).
(Univ. of Maryland and Rutgers Univ.), Good for graphics and lines.
One of many applications of quadtrees.
BibRef
8503
Samet, H.[Hanan],
A Top-Down Quadtree Traversal Algorithm,
PAMI(7), No. 1, January 1985, pp. 94-98.
BibRef
8501
Samet, H.[Hanan],
Object-Based and Image-Based Representations of
Objects by Their Interiors,
AIU96(316-332).
BibRef
9600
Samet, H.,
Object Representations,
FIU01(Chapter 7).
BibRef
0100
Samet, H.[Hanan],
Data Structures for Quadtree Approximation and Compression,
CACM(28), No. 9, September 1985, pp. 973-993.
BibRef
8509
And:
Quadtree Representation of Binary Images,
ICPR80(815-818).
Datastructures without using pointers. Locational coding of leaf nodes.
BibRef
Shaffer, C.A.[Clifford A.],
Juvvadi, R.[Ramana],
Heath, L.S.[Lenwood S.],
Generalized Comparison of Quadtree and Bintree Storage Requirements,
IVC(11), No. 7, September 1993, pp. 402-412.
Elsevier DOI probabilistic analysis of storage.
BibRef
9309
Kim, Y.M.[Young-Mo],
Par, S.B.[Song-Bai],
Complementary Quadtree,
IVC(11), No. 7, September 1993, pp. 413-418.
Elsevier DOI Coding of tree issues.
BibRef
9309
Ahuja, N.,
Davis, L.S.[Larry S.],
Milgram, D.L., and
Rosenfeld, A.,
Piecewise Approximation of Pictures Using Maximal Neighborhoods,
TC(27), No. 4, April 1978, pp. 375-379.
BibRef
7804
Jones, L.P.,
Iyengar, S.S.,
Space and Time Efficient Virtual Quadtrees,
PAMI(6), No. 2, March 1984, pp. 244-247.
BibRef
8403
Earlier:
Virtual Quadtrees,
CVPR83(133-136).
BibRef
And:
Representation of a Region as a Forest of Quad-Trees,
PRIP81(57-59).
More on the quadtree problem.
BibRef
Cohen, Y.,
Landy, M.S.,
Pavel, M.,
Hierarchical Coding of Binary Images,
PAMI(7), No. 3, May 1985, pp. 284-298.
BibRef
8505
Mazumder, P.[Pinaki],
Planar Decomposition for Quadtree Data Structure,
CVGIP(38), No. 3, June 1987, pp. 258-274.
Elsevier DOI
BibRef
8706
Manohar, M.,
Rao, P.S.[P. Sudarsana],
Iyengar, S.S.[S. Sitarama],
Template Quadtrees for Representing Region and Line Data Present
in Binary Images,
CVGIP(51), No. 3, September 1990, pp. 338-354.
Elsevier DOI The leaf nodes are represented as templates other than pure black or white.
BibRef
9009
Gautier, N.K.[Nancy K.],
Iyengar, S.S.[S. Sitharama],
Lakhani, N.B.[Narinder B.],
Manohar, M.,
Space and Time Efficiency of the Forest-of-Quadtrees Representation,
IVC(3), No. 2, May 1985, pp. 63-70.
Elsevier DOI
BibRef
8505
Chien, C.H.,
Aggarwal, J.K.,
A Normalized Quadtree Representation,
CVGIP(26), No. 3, June 1984, pp. 331-346.
Elsevier DOI
BibRef
8406
Earlier:
CVPR83(121-126).
For Octrees:
See also Volume/Surface Octrees for the Representation of Three-Dimensional Objects.
BibRef
Aoki, M.[Masayoshi],
Rectangular Region Coding for Image Data Compression,
PR(11), No. 5-6, 1979, pp. 297-312.
Elsevier DOI
BibRef
7900
And:
Local Image Continuity Measure and its Application,
ICPR80(1320-1322).
BibRef
Abel, D.J.,
A B(+) Tree Structure for Large Quadtrees,
CVGIP(27), No. 1, July 1984, pp. 19-31.
Elsevier DOI
BibRef
8407
Abel, D.J.,
Smith, J.L.,
A Data Structure and Algorithm Based on a Linear Key for a
Rectangle Retrieval Problem,
CVGIP(24), No. 1, October 1983, pp. 1-13.
Elsevier DOI
BibRef
8310
Tamminen, M.[Markku],
Comment on Quad- and Octtrees,
CACM(27), No. 3, March 1984, pp. 248-249.
Improves on the efficencies of two recent algorithms:
For Octtrees:
See also Linear Octtrees for Fast Processing of Three-Dimensional Objects. and Quadtrees:
See also Effective Way to Represent Quadtrees, An.
BibRef
8403
Tamminen, M.[Markku],
Encoding Pixel Trees,
CVGIP(28), No. 1, October 1984, pp. 44-57.
Elsevier DOI
BibRef
8410
Tamminen, M.[Markku],
Performance Analysis of Cell Based Geometric File Organizations,
CVGIP(24), No. 2, November 1983, pp. 160-181.
Elsevier DOI
BibRef
8311
Kawaguchi, E.,
Endo, T.,
On a Method of Binary Picture Representation and its
Application to Data Compression,
PAMI(2), No. 1, January 1980, pp. 27-35.
Linear encoding requires less than 2 bits per node.
BibRef
8001
Kawaguchi, E.,
Endo, T.,
Matsunaga, J.I.,
Depth-First Picture Expression Viewed from Digital Picture Processing,
PAMI(5), No. 4, July 1983, pp. 373-384.
BibRef
8307
Ahuja, N.[Narendra],
Efficient Planar Embedding of Trees for VLSI Layouts,
CVGIP(34), No. 2, May 1986, pp. 189-203.
Elsevier DOI
BibRef
8605
Kunii, T.L.,
Fujishiro, I.,
Mao, X.,
G-Quadtree: A Hierarchical Representation of Gray-Scale Digital Images,
VC(2), 1986, pp. 219-226.
BibRef
8600
Fuhrmann, D.R.,
Quadtree Traversal Algorithms for Pointer-Based and
Depth-First Representations,
PAMI(10), No. 6, November 1988, pp. 955-960.
IEEE DOI
BibRef
8811
Radha, H.,
Leonardi, R.,
Vetterli, M.,
Naylor, B.F.,
Binary Space Partitioning Tree Representation of Images,
JVCIR(2), 1991, pp. 201-221.
See also Image Compression Using Binary Space Partitioning Trees.
BibRef
9100
Subramanian, K.R.,
Naylor, B.F.,
Converting Discrete Images to Partitioning Trees,
VCG(3), No. 3, Jul-Sep 1997, pp. 273-288.
9710
BibRef
Shankar, R.V.[Ravi V.],
Ranka, S.[Sanjay],
Hypercube Algorithms for Operations on Quadtrees,
PR(25), No. 7, July 1992, pp. 741-747.
Elsevier DOI
BibRef
9207
Sullivan, G.J.,
Baker, R.L.,
Efficient Quadtree Coding of Images and Video,
IP(3), No. 3, May 1994, pp. 327-331.
IEEE DOI
BibRef
9405
Mobasseri, B.G.,
A Generalized Solution to the Quadtree Expected Complexity Problem,
PRL(16), 1995, pp. 443-456.
BibRef
9500
Earlier:
A new quadtree complexity theorem,
ICPR92(II:389-392).
IEEE DOI
9208
BibRef
Mobasseri, B.G.,
Soft-Linked Quadtree:
A Cascaded Ring Structure Using Flexible Linkage Concept,
CVPR88(622-627).
IEEE DOI
BibRef
8800
Vassilakopoulos, M.,
Manolopoulos, Y.,
A Random Model for Analyzing Region Quadtrees,
PRL(16), 1995, pp. 1137-1145.
BibRef
9500
Unnikrishnan, A.,
Venkatesh, Y.V.,
Shankar, P.,
Distribution of Black Nodes at Various Levels in a Linear Quadtree,
PRL(6), 1987, pp. 341-342.
BibRef
8700
Burton, F.W.,
Kollias, V.J.,
Kollias, J.G.,
Expected and Worst-Case Storage Requirements for Quadtrees,
PRL(3), 1985, pp. 131-135.
BibRef
8500
Chang, H.K.C.,
Liu, S.H.,
Tso, C.K.,
Two-Dimensional Template Based Encoding for
Linear Quadtree Representation,
PhEngRS(63), No. 11, November 1997, pp. 1275-1282.
9711
BibRef
Lin, T.W.[Tsong-Wuu],
Compressed Quadtree Representations for Storing Similar Images,
IVC(15), No. 11, November 1997, pp. 833-843.
Elsevier DOI
9712
BibRef
Lightstone, M.,
Mitra, S.K.,
Quadtree Optimization for Image and Video Coding,
VLSIVideo(17), No. 2-3, November 1997, pp. 215-224.
9712
BibRef
Bourbakis, N.G.,
Barlos, F.,
Mertoguno, J.S.,
Hermes Autonomous Vision System: The Flat Quadtree Model,
PRAI(12), No. 3, May 1998, pp. 265-291.
9807
BibRef
Aref, W.G.[Walid G.],
Samet, H.[Hanan],
Efficient Window Block Retrieval in Quadtree-Based Spatial Databases,
GeoInfo(1), No. 1, April 1997, pp. 59-91.
DOI Link
BibRef
9704
Nardelli, E.[Enrico],
Proietti, G.[Guido],
Probabilistic models for images and quadtrees:
Differences and equivalences,
IVC(17), No. 9, July 1999, pp. 659-665.
Elsevier DOI
BibRef
9907
Earlier:
An accurate model for quadtrees representing noiseless images of
spatial data,
ICIP94(II: 610-614).
IEEE DOI
9411
BibRef
Yang, Y.H.[Yuh-Horng],
Chung, K.L.[Kuo-Liang],
Tsai, Y.H.[Yao-Hong],
A compact improved quadtree representation with image manipulations,
IVC(18), No. 3, February 2000, pp. 223-231.
Elsevier DOI
0001
BibRef
Chen, P.M.[Pei-Min],
Variant code transformations for linear quadtrees,
PRL(23), No. 11, September 2002, pp. 1253-1262.
Elsevier DOI
0206
BibRef
Vörös, J.[Jozef],
Quadtree-based representations of grid-oriented data,
IVC(24), No. 3, 1 March 2006, pp. 263-270.
Elsevier DOI
0604
Image representation; Robotics;
Potentials; Voronoi diagram; Rapid prototyping
BibRef
Caselles, V.[Vicent],
Monasse, P.[Pascal],
Geometric Description of Images as Topographic Maps,
Springer2010.
Lecture Notes in Mathematics, Vol. 1984
ISBN: 978-3-642-04610-0
WWW Link. Geometric contents of an image and tree structure to represent it.
Buy this book: Geometric Description of Images as Topographic Maps (Lecture Notes in Mathematics)
1002
BibRef
Liu, H.[Hui],
Huang, K.K.[Ke-Kun],
Ren, C.X.[Chuan-Xian],
Yu, Y.F.[Yu-Feng],
Lai, Z.R.[Zhao-Rong],
Quadtree coding with adaptive scanning order for space-borne image
compression,
SP:IC(55), No. 1, 2017, pp. 1-9.
Elsevier DOI
1705
Remote sensing image compression
BibRef
Wu, K.[Kejun],
Yang, Y.[You],
Liu, Q.[Qiong],
Zhang, X.P.[Xiao-Ping],
Focal Stack Image Compression Based on Basis-Quadtree Representation,
MultMed(25), 2023, pp. 3975-3988.
IEEE DOI
2310
BibRef
Ageenko, E.[Eugene],
Franti, P.[Pasi],
Forward Adaptive Modeling for Context-based Compression of Large Binary
Images in Applications Requiring Spatial Access,
ICIP99(III:757-761).
IEEE DOI
BibRef
9900
Franti, P.[Pasi],
Ageenko, E.[Eugene],
On the Use of Context Tree for Binary Image Compression,
ICIP99(III:752-756).
IEEE DOI
BibRef
9900
Balmelli, L.[Laurent],
Kovacevic, J.[Jelena],
Vetterli, M.[Martin],
Quadtrees for Embedded Surface Visualization:
Constraints and Efficient Data Structures,
ICIP99(II:487-491).
IEEE DOI
HTML Version. Code for this work is also available:
HTML Version.
BibRef
9900
Benoit-Cattin, H.,
Planat, A.C.,
Joachimsmann, P.R.,
Baskurt, A.,
Clarysse, P.,
Magnin, I.E.,
On the coding of active quadtree mesh,
ICIP98(II: 895-898).
IEEE DOI
9810
BibRef
Yang, D.K.[De-Kun],
Compressed quadtree with content-addressable memory,
ICIP94(II: 395-399).
IEEE DOI
9411
BibRef
Vassilakopoulos, M.[Michael],
Manolopoulos, Y.[Yannis],
Analytical results on the Quadtree storage-requirements,
CAIP93(41-48).
Springer DOI
9309
BibRef
Kertész, M.[Miklós],
Kummert, Á.[Ágnes],
Csillag, F.[Ferenc],
From pyramids to quadtrees: Approximation of heterogeneous surfaces by
fixing complexity,
CAIP93(49-57).
Springer DOI
9309
BibRef
Lindenbaum, M.,
Samet, H.,
A Probabilistic Analysis of Hierarchical Geometric Data Structures,
ICPR90(II: 91-96).
IEEE DOI
Quadtree, Evaluation.
BibRef
9000
Nakamura, Y.,
Abe, S.,
Ohsawa, Y.,
Sakauchi, M.,
An Efficient Data Management Method for Spatial Objects Using
MD-tree-Experimental Evaluation and Comparisons,
ICPR92(III:373-377).
IEEE DOI
BibRef
9200
Earlier:
Data structures for multilayer N-dimensional data using hierarchical
structure,
ICPR90(II: 97-102).
IEEE DOI
9008
BibRef
Nakamura, Y.,
Abe, S.,
Ohsawa, Y.,
Sakauchi, M.,
MD-Tree: A Balanced Hierarchical Data Structure for
Multi-Dimensional Data with Highly Efficient Dynamic Characteristics,
ICPR88(I: 375-378).
IEEE DOI
8811
BibRef
Chen, C.,
Zou, H.,
Linear Binary Tree,
ICPR88(I: 576-578).
IEEE DOI
BibRef
8800
Kawaguchi, E.,
Taniguchi, R.I.,
Coded DF-Expression for Binary and Multi-Valued Picture,
ICPR88(II: 1159-1163).
IEEE DOI
BibRef
8800
Liang, Z.H.[Ze-Huan],
A Picture Decomposition Algorithm Using a Pictoral Information Measure,
CVWS82(127-134).
BibRef
8200
Chapter on 2-D Feature Analysis, Extraction and Representations, Shape, Skeletons, Texture continues in
Quadtree Generation and Computations .