US2015100288A1PendingUtilityA1
Computer implemented tool box systems and methods
Est. expiryJun 21, 2030(~3.9 yrs left)· nominal 20-yr term from priority
G06T 17/30G06F 17/14
51
PatentIndex Score
0
Cited by
0
References
0
Claims
Abstract
According to the preferred embodiments, a system or method is provided that involves the programming of a computer or other processing device with a software, hardware or firmware configured to create a processing tool (i.e., referred to herein as a tool box) that can be configured to provide one or more operational function based on new mathematical principles described herein for the purposes of, e.g., synthesizing or analyzing shapes and the like.
Claims
exact text as granted — not AI-modifiedWhat is claimed is:
1 . A method of synthesizing or analyzing shapes, comprising:
a) providing a computer tool box programmed to solve the following equation
ρ
=
R
(
ϑ
)
=
∑
j
=
0
k
r
G
(
ϑ
;
γ
j
(
ϑ
)
,
m
j
,
a
j
,
b
j
,
n
1
j
,
n
2
j
,
n
3
j
)
,
where
r
G
(
ϑ
;
γ
(
ϑ
)
,
a
,
b
,
m
,
n
1
,
n
2
,
n
3
)
=
γ
(
ϑ
)
·
[
1
a
·
cos
m
4
ϑ
n
2
+
1
b
·
sin
m
4
ϑ
n
3
]
-
1
/
n
1
b) using the computer tool box to synthesize or analyze shapes with said equation.
2 . The method of claim 1 , further including using the computer tool box to synthesize shapes using said equation along with linear interpolation between terms.
3 . The method of claim 1 , further including using the computer tool box to synthesize k-type curves using said equation.
4 . The method of claim 1 , further including using the computer tool box to synthesize k-type surfaces using said equation.
5 . The method of claim 1 , further including clustering data in a database and using the computer tool box to perform data-mining of said clustered data using said equation.
6 . The method of claim 1 , further including using the computer tool box to perform computation employing said equation.
7 . The method of claim 6 , wherein said computation involves mesh free modelling.
8 . The method of claim 6 , wherein said computation involves optimal design of products.
9 . A computer tool box for synthesizing or analyzing shapes, comprising:
a) a computer programmed to solve the following equation
ρ
=
R
(
ϑ
)
=
∑
j
=
0
k
r
G
(
ϑ
;
γ
j
(
ϑ
)
,
m
j
,
a
j
,
b
j
,
n
1
j
,
n
2
j
,
n
3
j
)
,
where
r
G
(
ϑ
;
γ
(
ϑ
)
,
a
,
b
,
m
,
n
1
,
n
2
,
n
3
)
=
γ
(
ϑ
)
·
[
1
a
·
cos
m
4
ϑ
n
2
+
1
b
·
sin
m
4
ϑ
n
3
]
-
1
/
n
1
b) said computer being configured to synthesize or analyze shapes using said equation.
10 . The computer tool box of claim 1 , further including using the computer tool box to synthesize shapes using said equation along with linear interpolation between terms.
11 . The computer tool box of claim 1 , further including using the computer tool box to synthesize k-type curves using said equation.
12 . The computer tool box of claim 1 , further including using the computer tool box to synthesize k-type surfaces using said equation.
13 . The computer tool box of claim 1 , further including clustering data in a database and using the computer tool box to perform data-mining of said clustered data using said equation.
14 . The computer tool box of claim 1 , further including using the computer tool box to perform computation employing said equation.
15 . The computer tool box of claim 6 , wherein said computation involves mesh free modelling.
16 . The computer tool box of claim 6 , wherein said computation involves optimal design of products.Join the waitlist — get patent alerts
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