Computer graphics processing and selective visual display system – Computer graphics processing – Graph generating
Reexamination Certificate
1998-03-26
2001-04-17
Vo, Cliff N. (Department: 2671)
Computer graphics processing and selective visual display system
Computer graphics processing
Graph generating
C345S441000
Reexamination Certificate
active
06219066
ABSTRACT:
FIELD OF THE INVENTION
This invention relates to a method and system for graphical display of probability relationships.
INTRODUCTION TO THE INVENTION
This invention seeks to facilitate a scientist's or student's attainment of intuition about probability concepts. To this end, the invention provides an interactive didactic mechanism and display for pedagogically illustrative problems in geometric and continuous probability. The invention can enable its users to examine visually how problem variations can produce solution-set changes. In this way, one can better understand problems in geometric probability and their engineering applications, including solving some mature engineering problems in geometric probability.
SUMMARY OF THE INVENTION
In a first aspect, the present invention comprises a computer implemented method including
(i) postulating as input to the computer a probability problem comprising a geometric action coupled with geometric constraints;
(ii) solving the probability problem; and
(iii) outputting as a graphical representation on a display a solution dynamically representative of a relationship between the probability problem and its solution as a probability density distribution.
The method advantageously further includes dynamically interacting with the displayed solution by actions selected from a group consisting of:
(i) changing the input probability problem;
(ii) changing the geometric constraints;
(iii) changing the geometric action;
(iv) any combination of said (i), (ii), and (iii) interactive actions.
In particular, this last step further advantageously includes dynamically interacting with the displayed solution by actions selected from a group consisting of:
(i) modifying the input probability problem;
(ii) modifying the geometric constraints;
(iii) modifying the geometric action;
(iv) any combination of said (i), (ii) and (iii) interactive actions.
Preferably, the method is such that step (i) comprises postulating the probability problem in n-dimensions and step (iii) comprises displaying an output solution in a form of a recursive set of sub-dimensional projections, leading to a set of 2-dimensional representations in the plane.
In a second aspect, the present invention comprises a computer system suitable for displaying solutions to probability problems, comprising:
(i) means for inputting to the computer a probability problem comprising a geometric action coupled with geometric constraints;
(ii) means for solving the probability problem; and
(iii) means for outputting as a graphical representation on a display a solution dynamically representative of a relationship between the probability problem and its solution as a probability density distribution.
REFERENCES:
patent: 5929864 (1999-07-01), Picott et al.
patent: 5966139 (1999-10-01), Anupam et al.
patent: 5995114 (1999-11-01), Wegman et al.
Kurtzberg Jerome M.
Levanoni Menachem
International Business Machines - Corporation
Kaufman Stephen C.
McGinn & Gibb PLLC
Vo Cliff N.
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