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Elastic Hierarchies: Combining
Treemaps and Node-Link Diagrams
Shengdong Zhao, Michael J. McGuffin, Mark H. Chignell
University of Toronto
University of Toronto
2
Hierarchies (Trees)
• Definition
• Data where cases relate to subcases
• Examples
• Family histories, ancestries
• File/directory systems on computers
• Organization charts
• Animal kingdom: phylum, genus
• Object-oriented software classes
University of Toronto
3
Common Tree Representations
Node-Link Containment
Alignment,
Adjacency
Outline
University of Toronto
4
Common Tree Representations
Node-Link Containment
Alignment,
Adjacency
Outline
Node-Link
Diagram
University of Toronto
5
Common Tree Representations
Node-Link Containment
Alignment,
Adjacency
Outline
Treemap
Node-Link
Diagram
University of Toronto
6
Common Tree Representations
Node-Link Containment
Alignment,
Adjacency
Outline
Treemap Sunburst
Node-Link
Diagram
University of Toronto
7
Common Tree Representations
Node-Link Containment
Alignment,
Adjacency
Outline
Treemap Sunburst
Node-Link
Diagram Explorer
University of Toronto
8
Tree Visualization Challenges
• Structure AND data within items
• Scalability (exponential growth)
• Context (when focus changes)
• Multiple
hierarchies or
polyarchies
• Multiple
foci [Robertson]
[Furnas & Zacks]
University of Toronto
9
Tree Visualization Challenges
• Different local properties
• Topology (dense vs. sparse)
• Data content (image vs. text)
University of Toronto
10
Tree Visualization Challenges
• Different local properties
• Topology (dense vs. sparse)
• Data content (image vs. text)
• Dynamic data
• Hierarchies evolve
• Adjustment required for content,
context, topology
University of Toronto
11
Single Representation Limitations
Treemap Sunburst
Node-Link
Diagram Explorer
University of Toronto
12
Single Representation Limitations
Treemap Sunburst
Node-Link
Diagram Explorer
• Structure vs. data within items
University of Toronto
13
Single Representation Limitations
Treemap Sunburst
Node-Link
Diagram Explorer
• Structure vs. data within items
• Expressivity
University of Toronto
14
Single Representation Limitations
Treemap Sunburst
Node-Link
Diagram Explorer
• Structure vs. data within items
• Expressivity
• Static representation
University of Toronto
15
Single Representation Limitations
Treemap Sunburst
Node-Link
Diagram Explorer
• Structure vs. data within items
• Expressivity
• Static representation
University of Toronto
16
Node-Link & Treemap
Node-Link Treemap
Pros
• Familiar
• Shows both
structure and
items
• Scalable, space
efficient
• Eases comparison
of branch patterns
Cons
• Hard to scale
(100 nodes)
• Less familiar
• Hard to see
structure
University of Toronto
17
Node-Link & Treemap
Node-Link Treemap
Pros
• Familiar
• Shows both
structure and
items
• Scalable, space
efficient
• Eases comparison
of branch patterns
Cons
• Hard to scale
(100 nodes)
• Less familiar
• Hard to see
structure
University of Toronto
18
Node-Link & Treemap
Node-Link Treemap
Pros
• Familiar
• Shows both
structure and
items
• Scalable, space
efficient
• Eases comparison
of branch patterns
Cons
• Hard to scale
(100 nodes)
• Less familiar
• Hard to see
structure
University of Toronto
19
Node-Link & Treemap
Node-Link Treemap
Pros
• Familiar
• Shows both
structure and
items
• Scalable, space
efficient
• Eases comparison
of branch patterns
Cons
• Hard to scale
(100 nodes)
• Less familiar
• Hard to see
structure
University of Toronto
20
Solving the Problem
• Hybridize complementary
representations to balance structure
and scalability
University of Toronto
21
Solving the Problem
• Hybridize complementary
representations to balance structure
and scalability
• Representational adaptations for
branches and tasks
University of Toronto
22
Solving the Problem
• Hybridize complementary
representations to balance structure
and scalability
• Representational adaptations for
branches and tasks
• User manipulation and automatic
adjustment
University of Toronto
23
Combine Multiple Representations
Node-Link
University of Toronto
24
Node-Link Treemap
Combine Multiple Representations
University of Toronto
25
Node-Link TreemapHybrid 1
Combine Multiple Representations
University of Toronto
26
Node-Link TreemapHybrid 1 Hybrid 2
Combine Multiple Representations
University of Toronto
27
… … …
Node-Link TreemapHybrid 1 Hybrid 2
Combine Multiple Representations
University of Toronto
28
… … …
Node-Link TreemapHybrid 1 Hybrid 2
Elastic Hierarchy:
Entire set of adjustable hybrids
of multiple representations
Combine Multiple Representations
University of Toronto
29
Elastic Hierarchy
Node–Link
Diagram
A tree of ~3500 nodes using Node-Link
University of Toronto
30
Elastic Hierarchy
Treemap
Same tree using Treemap
University of Toronto
31
Elastic Hierarchy
Same tree using Elastic Hierarchy
Elastic
Hierarchy
University of Toronto
32
Elastic Hierarchy
Node–Link Diagram Treemap Elastic Hierarchy
• Elastic Hierarchy
• Focus+context
• Adaptability+user control
• Multiple foci
University of Toronto
33
y
x
Taxonomy
University of Toronto
34
y
x
Treemap (TM)
Node-Link (NL)
Taxonomy
University of Toronto
35
y
x
Treemap (TM)
Node-Link (NL)
outside
inside
Taxonomy
University of Toronto
36
y
x
Treemap (TM)
Node-Link (NL)
outside
inside
Taxonomy
NL outside NL
…….(A)
TM outside NL
…….(B)
NL outside TM
…….(C)
TM outside TM
…….(D)
NL inside TM
…….(E)
TM inside TM
…….(F)
NL inside NL
…….(G)
TM inside NL
…….(H)
University of Toronto
37
y
x
Treemap (TM)
Node-Link (NL)
outside
inside
Taxonomy
NL outside NL
…….(A)
TM outside NL
…….(B)
NL outside TM
…….(C)
TM outside TM
…….(D)
NL inside TM
…….(E)
TM inside TM
…….(F)
NL inside NL
…….(G)
TM inside NL
…….(H)
University of Toronto
38
y
x
Treemap (TM)
Node-Link (NL)
outside
inside
Taxonomy
NL outside NL
…….(A)
TM outside NL
…….(B)
NL outside TM
…….(C)
TM outside TM
…….(D)
NL inside TM
…….(E)
TM inside TM
…….(F)
Figure 4: here, the same tree is depicted 6 different ways
(illustration): in A, with a traditional node-link diagram, in F, with
a Treemap, and in B-E, with mixed, hybrid representations.
University of Toronto
39
y
x
Treemap (TM)
Node-Link (NL)
outside
inside
Taxonomy
Figure 4: here, the same tree is depicted 6 different ways
(illustration): in A, with a traditional node-link diagram, in F, with
a Treemap, and in B-E, with mixed, hybrid representations.
NL outside NL
…….(A)
TM outside NL
…….(B)
NL outside TM
…….(C)
TM outside TM
…….(D)
NL inside TM
…….(E)
TM inside TM
…….(F)
University of Toronto
40
y
x
Treemap (TM)
Node-Link (NL)
outside
inside
Taxonomy
Figure 4: here, the same tree is depicted 6 different ways
(illustration): in A, with a traditional node-link diagram, in F, with
a Treemap, and in B-E, with mixed, hybrid representations.
NL outside NL
…….(A)
TM outside NL
…….(B)
NL outside TM
…….(C)
TM outside TM
…….(D)
NL inside TM
…….(E)
TM inside TM
…….(F)
University of Toronto
41
Treemap Outside Node-Link
University of Toronto
42
Treemap Outside Node-Link
• Preserve top-level
topology
University of Toronto
43
Treemap Outside Node-Link
• Preserve top-level
topology
• Space filling at
crowded lower
levels
University of Toronto
44
Treemap Outside Node-Link
• Preserve top-level
topology
• Space filling at
crowded lower
levels
• Pattern comparison
among branches
University of Toronto
45
Treemap/Node-Link Outside Treemap
University of Toronto
46
• Focus+Context
Treemap/Node-Link Outside Treemap
University of Toronto
47
• Focus+Context
• Multiple foci
Treemap/Node-Link Outside Treemap
University of Toronto
48
• Focus+Context
• Multiple foci
• Occlusion
Treemap/Node-Link Outside Treemap
University of Toronto
49
Node-Link Inside Treemap
University of Toronto
50
Node-Link Inside Treemap
• Local topology within context
• But, has tight space constrains
University of Toronto
51
Node-Link Inside Treemap
• Local topology within context
• But, has tight space constrains
• More space if resizing is allowed
• But, resizing changes visual landmarks
University of Toronto
52
Working Together
University of Toronto
53
Working Together
University of Toronto
54
Implementation
University of Toronto
55
Implementation
University of Toronto
56
Implementation
University of Toronto
57
Implementation
University of Toronto
58
Implementation
University of Toronto
59
User Interactions
• Toggle between representations
University of Toronto
60
User Interactions
• Toggle between representations
• Pan, zoom
University of Toronto
61
User Interactions
• Toggle between representations
• Pan, zoom
• Resize any subtree
University of Toronto
62
User Interactions
• Toggle between representations
• Pan, zoom
• Resize any subtree
• Unambiguous selection within
Treemaps using tabs
University of Toronto
63
Elastic Hierarchy Video
University of Toronto
64
Contributions
• Elastic representation
… … …
Node-Link TreemapHybrid 1 Hybrid 2
University of Toronto
65
Contributions
• Elastic representation
• Design space
… … …
Node-Link TreemapHybrid 1 Hybrid 2
Figure 4: here, the same tree is depicted 6 different ways
(illustration): in A, with a traditional node-link diagram, in F, with
a Treemap, and in B-E, with mixed, hybrid representations.
University of Toronto
66
Contributions
• Elastic representation
• Design space
• Interaction techniques
… … …
Node-Link TreemapHybrid 1 Hybrid 2
Figure 4: here, the same tree is depicted 6 different ways
(illustration): in A, with a traditional node-link diagram, in F, with
a Treemap, and in B-E, with mixed, hybrid representations.
University of Toronto
67
Future Work
• Empirical evaluation
• Other useful elastic representations
University of Toronto
68
Acknowledgments
Ben Bederson, Ben Shneiderman,
Ravin Balakrishnan, Maneesh
Agrawala, Ed Chi, Amy Zhu, John
Hancock, Joe Laszlo, Jim Chengming
Cai, Noah Lockwood, Bowen Hui,
anonymous reviewers, and other IML
& DGP members at University of
Toronto
University of Toronto
69
Questions
Node–Link Diagram Treemap Elastic Hierarchy

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