Moiré displays, devices for generating moiré-producing pattern, systems for generating moiré-producing pattern, and methods for generating moiré-producing pattern

Patent metadata

Field	Value
Publication number	US-12510353-B2
Application number	US-202318117830-A
Country	US
Kind code	B2
Filing date	Mar 6, 2023
Priority date	Sep 7, 2020
Publication date	Dec 30, 2025
Grant date	Dec 30, 2025

Abstract

A pattern for producing a moiré image with a sense of movement and technique for creating such patterns. A moiré display includes: a first pattern; and a second pattern disposed offset from the first pattern by a predetermined distance, the second pattern having a phase which continuously changes relative to the first pattern in at least one region. For example, a moiré image with a sense of movement can be produced when the second pattern has a phase that changes according to a function in at least one section. Accordingly, a moiré image with a sense of natural movement can be produced by inputting an input image and data such as a feature value of the input image.

First claim

What is claimed is:

1 . A moiré display, comprising:
a first pattern; and
a second pattern disposed offset from the first pattern by a predetermined distance, the second pattern having a phase which continuously changes relative to the first pattern in at least one region, wherein
the second pattern has a phase that changes according to a function in at least one section, and wherein,
when a reference point is set, and, in coordinates relative to the reference point, a coordinate in a direction perpendicular to moiré fringes is x and a coordinate perpendicular to x is y,
a moiré intensity R of the first pattern satisfies the following formula (1),
a moiré intensity B of the second pattern satisfies the following formula (2), and
a phase shift amount PH representing a change in the phase of the second pattern relative to the first pattern satisfies the following formula (3):

[

Math
.

5

]



R
⁡
(

x
,
y

)

=

0.5
+

0.5
×

cos
⁡
(

2
⁢
π
×

x
⁢
cos
⁢
a

+

y
⁢
sin
⁢
a

P

)

(
1
)

(

x
,
y

)

=

0.5
+

0.5
×

cos
(

2
⁢
π
×

x
⁢
cos
⁢
a

+

y
⁢
sin
⁢
a

P

+

PH
⁡
(

x
,
y

)

)

(
2
)

PH
⁡
(

x
.
y

)

=

k
×

2
⁢
π
×

x
⁢
cos
⁢
a

∝

+
y

⁢
sin

∝

P

)

(
3
)

where α is a stripe angle, P is a stripe pitch, and k is a phase shift coefficient.

2 . The moiré display of claim 1 , wherein
the phase shift coefficient k is represented by a function.

3 . The moiré display of claim 1 , wherein
the phase shift coefficient k continuously changes.

4 . The moiré display of claim 2 , wherein
the phase shift coefficient k satisfies k=ax+b, where a and b are constants.

5 . The moiré display of claim 2 , wherein
the phase shift coefficient k changes radially from the reference point.

6 . The moiré display of claim 2 , wherein
a plurality of the referen

Assignees

• Toppan Inc

Inventors

• Takizawa Yumi

Classifications

• G01B11/2513

  with several lines being projected in more than one direction, e.g. grids, patterns · CPC title

• B44F1/10

  Changing, amusing, or secret pictures · CPC title

• B42D25/351

  Translucent or partly translucent parts, e.g. windows · CPC title

• B41M3/14

  Security printing {(securities B42D25/29)} · CPC title

• B41M3/148

  Transitory images, i.e. images only visible from certain viewing angles · CPC title