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Introduction to Plate Solving 2022-06-10 Brice Output Team,Buzzvil

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Saipan

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Saipan

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Saipan

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이 슬라이드에 사용된 사진은 저작권 문제로 슬랙 링크로 대체합니다. https://buzzvil.slack.com/archives/C07JHRX4L/p1648458157899549

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이 슬라이드에 사용된 사진은 저작권 문제로 슬랙 링크로 대체합니다. https://buzzvil.slack.com/archives/C07JHRX4L/p1648458157899549 사진 오른쪽 잠실아르누보팰리스는 전갈자리를 가리고 있습니다. 오른쪽 대각선 위로 밝은 별들이 아마도 전갈자리 별로 보입니다. 가운데 경남레이크파크는 궁수자리를 가리고 있습니다. 아파트 왼쪽 (버즈빌 위쪽)에 살짝 궁수자리의 4개 밝은 별이 보이네요. 사진 중앙부에는 방패자리가 있는데 잘 안보이고, 그 위로 뱀자리와 뱀주인자리가 있습니다. 사진 왼쪽 현대레이크빌 위로 독수리자리가 보이는데, 사진 왼쪽 끝 10시 방향에 보이는 매우 밝은 별이 견우성으로 불리는 알타이르입니다. 사진에 보이는 은하수 영역은 우리 은하 중심부 방향이라 저렇게 두껍고 잘 보이는데, 여름철에 아주 어두운 곳으로 가시면 맨눈으로도 흐릿하게 보실 수 있습니다.

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이 슬라이드에 사용된 사진은 저작권 문제로 슬랙 링크로 대체합니다. https://buzzvil.slack.com/archives/C07JHRX4L/p1648458157899549 사진 오른쪽 잠실아르누보팰리스는 전갈자리를 가리고 있습니다. 오른쪽 대각선 위로 밝은 별들이 아마도 전갈자리 별로 보입니다. 가운데 경남레이크파크는 궁수자리를 가리고 있습니다. 아파트 왼쪽 (버즈빌 위쪽)에 살짝 궁수자리의 4개 밝은 별이 보이네요. 사진 중앙부에는 방패자리가 있는데 잘 안보이고, 그 위로 뱀자리와 뱀주인자리가 있습니다. 사진 왼쪽 현대레이크빌 위로 독수리자리가 보이는데, 사진 왼쪽 끝 10시 방향에 보이는 매우 밝은 별이 견우성으로 불리는 알타이르입니다. 사진에 보이는 은하수 영역은 우리 은하 중심부 방향이라 저렇게 두껍고 잘 보이는데, 여름철에 아주 어두운 곳으로 가시면 맨눈으로도 흐릿하게 보실 수 있습니다.

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● Direction? ● Location? ● Stars? ● Constellations? ● Season? ● Time?

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2022-01-11 22:00

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2022-01-11 22:00

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… 2021-06-11 12:00 2021-07-11 10:00 2021-08-11 08:00 2021-09-11 06:00 2021-10-11 04:00 2021-11-11 02:00 2021-12-11 00:00 2022-01-11 22:00 2022-02-11 20:00 2022-03-11 18:00 2022-04-11 16:00 2022-05-11 14:00 …

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06-11 12:00 07-11 10:00 08-11 08:00 09-11 06:00 10-11 04:00 11-11 02:00 12-11 00:00 01-11 22:00 02-11 20:00 03-11 18:00 04-11 16:00 05-11 14:00

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Plate Solving

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Plate + Solving

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Plate + Solving

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Photographic Plate

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Photographic Plate

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Photographic Plate

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Plate + Solving

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Computer

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Compute + er

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Star Catalog: Harvard (Revised) Photometry

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Plate Solving Astrometric solving or Plate solving or Astrometric calibration of an astronomical image is a technique used in astronomy and applied on celestial images. Solving an image is finding match between the imaged stars and a star catalogue.

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https://nova.astrometry.net/

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Astrometry.net

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Problem to solve

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Too Many Stars https://www.eso.org/public/images/eso1242a/zoomable 84 millions of stars

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Too Many Stars

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Index of Features

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Are they same?

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Are they same?

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Are they same?

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Feature of Stars Requirements ● Invariant to ○ scale ○ rotation ○ translation

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Feature of Stars Requirements ● Invariant to ○ scale ○ rotation ○ translation Geometric Hashing

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Feature of Stars: Quad

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Feature of Stars: Quad A B

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Feature of Stars: Quad A B C D

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Feature of Stars: Quad A B C D B A C D

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Feature of Stars: Quad 1 1 A B C D B A C D A B C D

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Feature of Stars: Quad 1 1 1 1 Xc Xd Yc Yd A B C D B A C D A B C D A B C D

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Feature of Stars: Quad 1 1 1 1 Xc Xd Yc Yd A B C D B A C D A B C D A B C D Feature: (Xc, Yc, Xd, Yd)

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Feature of Stars: Quad 1 1 1 1 Xc Xd Yc Yd A B C D B A C D A B C D A B C D Feature: (Xc, Yc, Xd, Yd) Is invariant to…? ● scale ● rotation ● translation

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Are they same?

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Are they same?

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Data Structure Requirements ● Search as fast as possible ● Find nearest neighbor ● Support 4-dimensional data

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Search 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

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Search 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

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Search 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 ?

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Search 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 ?

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Search 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 ?

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Search 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 ?

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Search 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 ?

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Search 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 ?

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Search 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 ?

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Search 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 ?

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Search 32 31 30 29 28 27 26 25 24 23 22 21 20 19 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 ? 18

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Search 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 ?

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Search 32 31 30 29 28 27 26 25 24 23 22 21 20 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 ? 19

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Search 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 ?

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Binary Search Tree

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KD-Tree

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KD-Tree (25, 65), within 25

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KD-Tree (25, 65), within 25

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KD-Tree https://en.m.wikipedia.org/wiki/K-d_tree ● https://upload.wikimedia.org/wikipedia/commons/4/48/Kdtreeogg.ogv

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Quad + KD-Tree

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A Real Example

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A Real Example

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A Real Example

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A Real Example

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A Real Example

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A Real Example

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How to detect stars in photos?

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Implement my own Plate Solver ● PoC ● Bright stars only ● Working on the images with ground objects or clouds ● Or, only working on the two images

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Advertisements ● #cosmos ● #ml-study (?) ● Total Solar Eclipse on April 8, 2024

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Total Solar Eclipse on April 8, 2024

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Thank you

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Tangent Plane Test

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Tangent Plane Test

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Tangent Plane Test

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Tangent Plane Test 1. Convert RA/Dec to 3d coordinates 2. Find middle point of quad (P1, P2, P3, P4) (marked as X) 3. Find tangent plane of the middle point 4. Project all the stars with the tangent plane (green dots) 5. Find star coordinates from photo 6. Find transformation matrix from photo to stars of tangent plane using P1, P2, P3 7. Apply transform to Pn of photo (red dots) P1 P2 P3 P4 P5 P6 P7 P8