CA2625653A1 - Computer method and apparatus for creating visible graphics by using a graph algebra - Google Patents

Computer method and apparatus for creating visible graphics by using a graph algebra Download PDF

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Publication number
CA2625653A1
CA2625653A1 CA002625653A CA2625653A CA2625653A1 CA 2625653 A1 CA2625653 A1 CA 2625653A1 CA 002625653 A CA002625653 A CA 002625653A CA 2625653 A CA2625653 A CA 2625653A CA 2625653 A1 CA2625653 A1 CA 2625653A1
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Prior art keywords
variable
representation
selecting
list
group
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CA002625653A
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French (fr)
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CA2625653C (en
Inventor
Leland Wilkinson
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International Business Machines Corp
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Individual
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Publication of CA2625653C publication Critical patent/CA2625653C/en
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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T15/00—3D [Three Dimensional] image rendering
    • G06T15/08—Volume rendering
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F16/00—Information retrieval; Database structures therefor; File system structures therefor
    • G06F16/90—Details of database functions independent of the retrieved data types
    • G06F16/904—Browsing; Visualisation therefor
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T11/00—2D [Two Dimensional] image generation
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T11/00—2D [Two Dimensional] image generation
    • G06T11/20—Drawing from basic elements, e.g. lines or circles
    • G06T11/206—Drawing of charts or graphs
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2216/00—Indexing scheme relating to additional aspects of information retrieval not explicitly covered by G06F16/00 and subgroups
    • G06F2216/03—Data mining

Abstract

A computer method, apparatus and storage medium is provided for creating quantitative aesthetic graphics from data. The invention utilizes a graph algebra to construct graphs and visually or otherwise represents the graphs as a quantitative aesthetic graphic representation. To create the quantitative aesthetic graphics from data, the data is indexed to form a data set. Thereafter, the data is converted into a variable data structure composed of an index set, a range and a function. The variable data structure is converted into a variable set by using at least one of a blend step, a cross step and a nest step. The variable set is mapped into a set of points and the set of points is mapped into an aesthetic representation.

Claims (20)

1. A method for creating by a computer quantitative aesthetic graphics from data comprising the steps of:
a. providing a list of variables;
b. providing a list of representations for points;
c. providing a list of coordinate systems;
d. providing a list of aesthetic representations;
e. selecting at least one variable from the list of variables;
f. selecting at least one representation for points from the list of representations for points;
g. selecting at least one coordinate system from the list of coordinate systems;
h. selecting at least one aesthetic representation from the list of aesthetic representations;
i. moving the at least one variable to a predetermined location; and j. displaying a visible graphic reflecting the at least one variable, the at least one representation for points, the at least one coordinate system, and the at least one aesthetic representation.
2. The method of claim 1, wherein said variables comprise data associated with indices.
3. The method of claim 1, wherein said variables have values selected from a group consisting of numerical and non-numerical values.
4. The method of claim 1, wherein the variables have values selected from the group of finite and real numbers.
5. The method of claim 1, wherein the at least one variable that is moved to a predetermined location has been manipulated by at least one function selected from the group consisting of blend, nest, and cross.
6. The method of claim 1, wherein the blend function results in a union in the range of the variable data structure.
7. The method of claim 1, wherein the cross function results a cartesian product in the range of the variable data structure.
8. The method of claim 1, wherein the nest function results in stratifying the values of the sets.
9. The method of claim 1 further comprising the step of prompting for which operation to perform.
10. The method of claim 1, wherein the coordinate system is selected prior to moving the at least one variable to the predetermined location near the coordinate.
11. The method of claim 1, wherein the step of selecting the at least one representation for points comprises selecting at least one representation to serve as a default.
12. The method of claim 1, wherein said at least one representation for points comprises at least one representation selected from the group consisting of an interval, a point, a line, and an area.
13. The method of claim 1, wherein the step of selecting at least one coordinate systems comprises selecting said coordinate system from the group consisting of cartesian, rectangular, polar, two-dimensional, three-dimensional, and spherical systems.
14. The method of claim 1, wherein the step of displaying the visible graphics comprises mapping the set of points to strings or real numbers that serve as input to a physical display device.
15. The method of claim 1, wherein the step of moving the at least one variable to a predetermined location comprises relating the at least one variable to the dimensions of a geometric space in which the aesthetic representation will be imbedded.
16. The method of claim 1, wherein moving at least one variable to a predetermined location comprises mapping the at least one variable to at least one graph dimension selected from the group consisting of visual and non-visual attributes.
17. The method of claim 16, wherein the visual attribute is selected from the group consisting of position, size, shape, color, hue, brightness, saturation, motion, rotation, blur, transparency, texture, pattern, orientation, or granularity.
18. The method of claim 16, wherein the non-visual attribute is sound.
19. The method of claim 1 further comprising selecting a layout for displaying the visible graphic.
20. The method of claim 19, wherein the layout is selected from the group consisting of row plot, trellis layout, pie chart, and a default.
CA2625653A 1999-04-21 2000-04-20 Computer method and apparatus for creating visible graphics by using a graph algebra Expired - Lifetime CA2625653C (en)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
US13023499P 1999-04-21 1999-04-21
US60/130,234 1999-04-21
CA002370973A CA2370973C (en) 1999-04-21 2000-04-20 Computer method and apparatus for creating visible graphics by using a graph algebra

Related Parent Applications (1)

Application Number Title Priority Date Filing Date
CA002370973A Division CA2370973C (en) 1999-04-21 2000-04-20 Computer method and apparatus for creating visible graphics by using a graph algebra

Publications (2)

Publication Number Publication Date
CA2625653A1 true CA2625653A1 (en) 2000-10-26
CA2625653C CA2625653C (en) 2011-08-02

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Family Applications (2)

Application Number Title Priority Date Filing Date
CA2625653A Expired - Lifetime CA2625653C (en) 1999-04-21 2000-04-20 Computer method and apparatus for creating visible graphics by using a graph algebra
CA002370973A Expired - Lifetime CA2370973C (en) 1999-04-21 2000-04-20 Computer method and apparatus for creating visible graphics by using a graph algebra

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CA002370973A Expired - Lifetime CA2370973C (en) 1999-04-21 2000-04-20 Computer method and apparatus for creating visible graphics by using a graph algebra

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US (3) US6492989B1 (en)
EP (1) EP1175661B1 (en)
AT (1) ATE344510T1 (en)
AU (1) AU4478800A (en)
CA (2) CA2625653C (en)
DE (1) DE60031664T2 (en)
DK (1) DK1175661T3 (en)
WO (1) WO2000063841A1 (en)

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Publication number Publication date
EP1175661A1 (en) 2002-01-30
DK1175661T3 (en) 2007-03-05
US20020149604A1 (en) 2002-10-17
ATE344510T1 (en) 2006-11-15
AU4478800A (en) 2000-11-02
US7023453B2 (en) 2006-04-04
CA2625653C (en) 2011-08-02
EP1175661B1 (en) 2006-11-02
WO2000063841A1 (en) 2000-10-26
US7176924B2 (en) 2007-02-13
US6492989B1 (en) 2002-12-10
DE60031664D1 (en) 2006-12-14
DE60031664T2 (en) 2007-08-30
US20060033738A1 (en) 2006-02-16
CA2370973A1 (en) 2000-10-26
CA2370973C (en) 2008-07-29

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