US-12619014-B2 - Pseudo random dot pattern and creation method of same

Abstract

A pseudo random dot pattern is easily created by a geometric approach. A pseudo random dot pattern 1A is created by arranging zigzag arrangements R at a predetermined pitch in an x direction on an xy plane while periodically altering positions thereof in a y direction, the zigzag arrangements R each including an arrangement Rb and an arrangement Rc repeatedly provided at predetermined intervals in the y direction, the arrangement Rb including dots arranged at a positive inclination, the arrangement Rc including dots arranged at a negative inclination.

Inventors

• Reiji Tsukao

Assignees

• DEXERIALS CORPORATION

Dates

Publication Date

20260505

Application Date

20210206

Priority Date

20200212

Claims (20)

1. 1 . A pseudo random dot pattern including zigzag arrangements R arranged at a predetermined pitch in an x direction on an xy plane while periodically altering positions thereof in a y direction, the zigzag arrangements R each including an arrangement Rb and an arrangement Rc repeatedly provided at predetermined intervals in the y direction, the arrangement Rb including dots arranged at a positive inclination, the arrangement Rc including dots arranged at a negative inclination, wherein a pitch pa of the zigzag arrangements R in the x direction when the zigzag arrangements R arranged in the x direction are located at constant positions in the y direction is constant, and wherein a maximum width Lx of a polygonal line forming a minimum repetition unit of the zigzag arrangements R in the x direction is less than the pitch pa.
2. 2 . The pseudo random dot pattern according to claim 1 , wherein the arrangement Rc is arranged in a direction reverse to an arrangement direction of the arrangement Rb with respect to the x direction.
3. 3 . The pseudo random dot pattern according to claim 1 , wherein an interval L 3 in the y direction between the arrangement Rb and the arrangement Rc is constant.
4. 4 . The pseudo random dot pattern according to claim 3 , wherein a pitch L 1 of dots of the arrangement Rb in the y direction, a pitch L 2 of dots of the arrangement Rc in the y direction, and the interval L 3 are the same.
5. 5 . The pseudo random dot pattern according to claim 3 , wherein the pitch pa, a pitch L 1 of dots of the arrangement Rb in the y direction, a pitch L 2 of dots of the arrangement Rc in the y direction, and the interval L 3 are the same.
6. 6 . The pseudo random dot pattern according to claim 3 , wherein a maximum width Ly of a polygonal line forming a minimum repetition unit of the zigzag arrangements R in the y direction is less than the interval L 3 .
7. 7 . The pseudo random dot pattern according to claim 1 , wherein a number of dots constituting a minimum repetition unit of the zigzag arrangements R and a number of arrangements of the zigzag arrangement in the x direction corresponding to one cycle of alteration in position of the zigzag arrangements R in the y direction are the same.
8. 8 . The pseudo random dot pattern according to claim 1 , wherein dot arrangements in which dots constituting a minimum repetition unit in the zigzag arrangement R are arranged in the x direction while altering the position thereof in one cycle in the y direction are symmetric about y=x.
9. 9 . A creation method of a pseudo random dot pattern, the creation method comprising: arranging zigzag arrangements R at a predetermined pitch in an x direction on an xy plane while periodically altering positions thereof in a y direction, the zigzag arrangements R each including an arrangement Rb and an arrangement Rc repeatedly provided at predetermined intervals in the y direction, the arrangement Rb including dots arranged at a positive inclination, the arrangement Rc including dots arranged at a negative inclination, wherein a pitch pa of the zigzag arrangements R in the x direction when the zigzag arrangements R arranged in the x direction are located at constant positions in the y direction is constant, and wherein a maximum width Lx of a polygonal line forming a minimum repetition unit of the zigzag arrangements R in the x direction is less than the pitch pa.
10. 10 . A filler-containing film comprising a resin layer and a filler, the filler being disposed in a pseudo random dot pattern in a plan view, the pseudo random dot pattern including zigzag arrangements R arranged at a predetermined pitch in an x direction on an xy plane while periodically altering positions thereof in a y direction, the zigzag arrangements R each including an arrangement Rb and an arrangement Rc repeatedly provided at predetermined intervals in the y direction, the arrangement Rb including filler particles arranged at a positive inclination, the arrangement Rc including filler particles arranged at a negative inclination, wherein a pitch pa of the zigzag arrangements R in the x direction when the zigzag arrangements R arranged in the x direction are located at constant positions in the y direction is constant, and wherein a maximum width Lx of a polygonal line forming a minimum repetition unit of the zigzag arrangements R in the x direction is less than the pitch pa.
11. 11 . A pseudo random dot pattern including zigzag arrangements R arranged at a predetermined pitch in an x direction on an xy plane while periodically altering positions thereof in a y direction, the zigzag arrangements R each including an arrangement Rb and an arrangement Rc repeatedly provided at predetermined intervals in the y direction, the arrangement Rb including dots arranged at a positive inclination, the arrangement Rc including dots arranged at a negative inclination, wherein an interval L 3 in the y direction between the arrangement Rb and the arrangement Rc is constant, and wherein a maximum width Ly of a polygonal line forming a minimum repetition unit of the zigzag arrangements R in the y direction is less than the interval L 3 .
12. 12 . The pseudo random dot pattern according to claim 11 , wherein the arrangement Rc is arranged in a direction reverse to an arrangement direction of the arrangement Rb with respect to the x direction.
13. 13 . The pseudo random dot pattern according to claim 11 , wherein a pitch pa of the zigzag arrangements R in the x direction when the zigzag arrangements R arranged in the x direction are located at constant positions in the y direction is constant.
14. 14 . The pseudo random dot pattern according to claim 11 , wherein a pitch L 1 of dots of the arrangement Rb in the y direction, a pitch L 2 of dots of the arrangement Rc in the y direction, and the interval L 3 are the same.
15. 15 . The pseudo random dot pattern according to claim 11 , wherein the pitch pa, a pitch L 1 of dots of the arrangement Rb in the y direction, a pitch L 2 of dots of the arrangement Rc in the y direction, and the interval L 3 are the same.
16. 16 . The pseudo random dot pattern according to claim 11 , wherein a number of dots constituting a minimum repetition unit of the zigzag arrangements R and a number of arrangements of the zigzag arrangement in the x direction corresponding to one cycle of alteration in position of the zigzag arrangements R in the y direction are the same.
17. 17 . The pseudo random dot pattern according to claim 11 , wherein dot arrangements in which dots constituting a minimum repetition unit in the zigzag arrangement R are arranged in the x direction while altering the position thereof in one cycle in the y direction are symmetric about y=x.
18. 18 . The pseudo random dot pattern according to claim 13 , wherein a maximum width Lx of a polygonal line forming a minimum repetition unit of the zigzag arrangements R in the x direction is less than the pitch pa.
19. 19 . A creation method of a pseudo random dot pattern, the creation method comprising: arranging zigzag arrangements R at a predetermined pitch in an x direction on an xy plane while periodically altering positions thereof in a y direction, the zigzag arrangements R each including an arrangement Rb and an arrangement Rc repeatedly provided at predetermined intervals in the y direction, the arrangement Rb including dots arranged at a positive inclination, the arrangement Rc including dots arranged at a negative inclination, wherein an interval L 3 in the y direction between the arrangement Rb and the arrangement Rc is constant, and wherein a maximum width Ly of a polygonal line forming a minimum repetition unit of the zigzag arrangements R in the y direction is less than the interval L 3 .
20. 20 . A filler-containing film comprising a resin layer and a filler, the filler being disposed in a pseudo random dot pattern in a plan view, the pseudo random dot pattern including zigzag arrangements R arranged at a predetermined pitch in an x direction on an xy plane while periodically altering positions thereof in a y direction, the zigzag arrangements R each including an arrangement Rb and an arrangement Rc repeatedly provided at predetermined intervals in the y direction, the arrangement Rb including filler particles arranged at a positive inclination, the arrangement Rc including filler particles arranged at a negative inclination, wherein an interval L 3 in the y direction between the arrangement Rb and the arrangement Rc is constant, and wherein a maximum width Ly of a polygonal line forming a minimum repetition unit of the zigzag arrangements R in the y direction is less than the interval L 3 .

Description

TECHNICAL FIELD The present invention relates to a pseudo random dot pattern and a creation method of the same. BACKGROUND ART A random dot pattern refers to a condition where dots are disposed in an unpredictable manner without regularity or reproducibility. In contrast, a pseudo random dot pattern looks like a random dot pattern but refers to a condition where dots are disposed in a predictable manner with regularity and reproducibility. Here, dots refer to small spots or structures. A pseudo random dot pattern can be applied to a light diffusion sheet to prevent the occurrence of a diffraction pattern (Patent Literature 1, Patent Literature 2, and Patent Literature 3). In such a case, the dots must be free of overlap, the dot pattern must be irregular so that no moire fringes occur, and the dot distribution must be uniform so that no unevenness is visually observable and must possess a predetermined number density. Pseudo random dot patterns are also used for distance measurement etc. For example, a depth camera (Kinect (registered trademark) from Microsoft Corporation) using a projector in which microlenses are disposed in a pseudo random dot pattern has been known. Among creation methods of a pseudo random dot pattern is a method described in Patent Literature 1, where the positions of respective dots are created using a linear feedback shift register. A molecular dynamics approach and. the like have also been proposed (Non-Patent Literature 1) CITATION LIST Patent Literature Patent Literature 1: Japanese Patent Application Laid-Open No. 2010-49267 Patent Literature 2: Japanese Translation of PCT Patent Application Publication No. 2006-502442 Patent Literature 3: Japanese Translation of PCT Patent Application Publication No. 2019-510996 Non-Patent Literature Non-Patent Literature 1: The Special Interest Group Technical Reports of IPSJ, Vol. 2012-AL, No. 8, 2012 May 14 SUMMARY OF INVENTION Technical Problem There has been a demand for easy creation of a pseudo random dot pattern having a desired number density and periodicity in a short time in comparison to the conventional creation methods of a pseudo random dot pattern. In view of the foregoing, an object of the present invention is to enable easier creation of a pseudo random dot pattern by a geometric approach. Solution to Problem The present inventor has conceived that a pseudo random dot pattern. can. be created by arranging zigzag arrangements R of dots extending in a y direction on an xy plane at a predetermined pitch in the x direction while periodically altering the positions thereof in the y direction, and completed the present invention. More specifically, the present invention provides a pseudo random dot pattern including zigzag arrangements R arranged at a predetermined pitch in an x direction on an xy plane while periodically altering positions thereof in a y direction, the zigzag arrangements R each including an arrangement Rb and an arrangement Rc repeatedly provided at predetermined intervals in the y direction, the arrangement Rb including dots arranged at a positive inclination, the arrangement Rc including dots arranged at a negative inclination. In addition, as a creation method of the foregoing pseudo random dot pattern, the present invention provides a creation method of a pseudo randem dot pattern, the creation method including arranging zigzag arrangements R at a predetermined. pitch in an x direction on an xv plane while periodically altering positions thereof in a y direction, the zigzag arrangements R each including an arrangement Rb and an arrangement Rc repeatedly provided at predetermined intervals in the y direction, the arrangement Rb including dots arranged at a positive inclination, the arrangement Rc including dots arranged at a negative inclination. The creation method of a pseudo random dot pattern can also be stated as a design method of a pseudo random dot pattern. The present invention also provides a filler-containing film including a resin layer and a filler, the filler being disposed. in a pseudo random dot pattern in a plan view, the pseudo random dot pattern including zigzag arrangements R arranged at a predetermined pitch in an x direction on an xy plane while periodically altering positions thereof in a y direction, the zigzag arrangements R each including an arrangement Rb and an arrangement Rc repeatedly provided at predetermined intervals in the y direction, the arrangement Rb including fille Particles arranged at a positive inclination, the arrangement Rc including filler particles arranged at a negative inclination. Advantageous Effects of Invention The pseudo random dot pattern according to the present invention can be easily created by a geometric approach. The pseudo random dot pattern according to the present invention can thus be used in various products utilizing pseudo random dot patterns by setting the size and number density of the dots, etc., as appropriate based on the purpose of use of