Computer method and apparatus for creating visible graphics by using a graph algebra
First Claim
1. A method for creating with a computer quantitative aesthetic graphics from data comprising the steps of:
- indexing the data to form a data set;
converting the data set into a variable data structure, where the variable data structure comprises an index set, a range, and a function, and wherein the converting the data set into a variable data structure further comprises monitoring the range of each variable to detect within the data set a value that is out of range so that errors in the data set are trapped;
converting the variable data structure into a variable set by using at least one of a blend step, a cross step, and a nest step;
mapping the variable set into a set of points; and
mapping the set of points into an aesthetic representation.
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Accused Products
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.
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Citations
63 Claims
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1. A method for creating with a computer quantitative aesthetic graphics from data comprising the steps of:
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indexing the data to form a data set;
converting the data set into a variable data structure, where the variable data structure comprises an index set, a range, and a function, and wherein the converting the data set into a variable data structure further comprises monitoring the range of each variable to detect within the data set a value that is out of range so that errors in the data set are trapped;
converting the variable data structure into a variable set by using at least one of a blend step, a cross step, and a nest step;
mapping the variable set into a set of points; and
mapping the set of points into an aesthetic representation. - View Dependent Claims (2)
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3. A method for creating with a computer quantitative aesthetic graphics from data comprising the steps of:
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indexing the data to form a data set;
converting the data set into a variable data structure, where the variable data structure comprises an index set, a range, and a function;
converting the variable data structure into a variable set by using at least one of a blend step, a cross step, and a nest step, and wherein the blend step results in a union in the range of the variable data structure;
mapping the variable set into a set of points; and
mapping the set of points into an aesthetic representation. - View Dependent Claims (4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14)
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15. A method for creating with a computer quantitative aesthetic graphics from data comprising the steps of:
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indexing the data to form a data set;
converting the data set into a variable data structure, where the variable data structure comprises an index set, a range, and a function;
converting the variable data structure into a variable set by using at least one of a blend step, a cross step, and a nest step, and wherein the cross step results in a cartesian product in the range of the variable data structure;
mapping the variable set into a set of points; and
mapping the set of points into an aesthetic representation.
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16. A method for creating with a computer quantitative aesthetic graphics from data comprising the steps of:
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indexing the data to form a data set;
converting the data set into a variable data structure, where the variable data structure comprises an index set, a range, and a function;
converting the variable data structure into a variable set by using at least one of a blend step, a cross step, and a nest step, and wherein the nest step results in stratifying the values of the sets;
mapping the variable set into a set of points; and
mapping the set of points into an aesthetic representation.
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17. A method for creating with a computer quantitative aesthetic graphics from data comprising the steps of:
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indexing the data to form a data set;
converting the data set into a variable data structure, where the variable data structure comprises an index set, a range, and a function;
converting the variable data structure into a variable set by using at least one of a blend step, a cross step, and a nest step;
mapping the variable set into a set of points, and wherein the mapping the variable set into a set of points includes relating the variable set to the dimensions of a graphic space in which the aesthetic representation will be imbedded; and
mapping the set of points into an aesthetic representation.
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18. A method for creating by a computer quantitative aesthetic graphics from data comprising the steps of:
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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. - View Dependent Claims (19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37)
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38. A data processing system for constructing graphs mathematically from data and aesthetically representing the graphs as graphics comprising:
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a computer processor; and
a memory responsively coupled to the computer processor containing a set of computer instructions for;
(a) indexing data to form a data set;
(b) converting the data set into a variable data structure, where the variable data structure has an index set, a range and a function, wherein said computer instructions for converting the data set into a variable data structure comprises monitoring the range of each variable to detect within the data set a value that is out of range so that errors in the data set are trapped;
(c) converting the variable data structure into a variable set by using at least one of a blend function, a cross function, and a nest function;
(d) mapping the variable set into a set of mathematical points; and
(e) mapping the set of mathematical points into an aesthetic representation. - View Dependent Claims (39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51)
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52. A non-volatile storage medium containing computer software encoded in a machine readable format for creating quantitative aesthetic graphics from data comprising:
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a. a set of computer instructions for indexing data to form a data set;
b. a set of computer instructions for converting the data set into a variable data structure, where the variable data structure has an index set, a range and a function, and wherein said computer instructions for converting the data set into a variable data structure comprises monitoring the range of each variable to detect within the data set a value that is out of range so that errors in the data set are trapped;
c. a set of computer instructions for converting the variable data structure into a variable set by using at least one of a blend step, a cross step and a nest step;
d. a set of computer instructions for mapping the variable set into a set of points; and
e. a set of computer instructions for mapping the set of points into an aesthetic representation. - View Dependent Claims (53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63)
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Specification