Transcript
![Page 1: Projection in 3D - Seoul National University3map.snu.ac.kr/courses/2011/cg/3D Projection.pdf · 2011-09-21 · Projection in 3D 서울대학교 ... Wedge Product . Point by Three](https://reader034.vdocuments.mx/reader034/viewer/2022042113/5e90104ded0a2c60ca2f96ae/html5/thumbnails/1.jpg)
Projection in 3D
서울대학교 컴퓨터공학부
김명수
![Page 2: Projection in 3D - Seoul National University3map.snu.ac.kr/courses/2011/cg/3D Projection.pdf · 2011-09-21 · Projection in 3D 서울대학교 ... Wedge Product . Point by Three](https://reader034.vdocuments.mx/reader034/viewer/2022042113/5e90104ded0a2c60ca2f96ae/html5/thumbnails/2.jpg)
Conventional Way in Graphics
![Page 3: Projection in 3D - Seoul National University3map.snu.ac.kr/courses/2011/cg/3D Projection.pdf · 2011-09-21 · Projection in 3D 서울대학교 ... Wedge Product . Point by Three](https://reader034.vdocuments.mx/reader034/viewer/2022042113/5e90104ded0a2c60ca2f96ae/html5/thumbnails/3.jpg)
Plane in Space
![Page 4: Projection in 3D - Seoul National University3map.snu.ac.kr/courses/2011/cg/3D Projection.pdf · 2011-09-21 · Projection in 3D 서울대학교 ... Wedge Product . Point by Three](https://reader034.vdocuments.mx/reader034/viewer/2022042113/5e90104ded0a2c60ca2f96ae/html5/thumbnails/4.jpg)
Plane by Three Points
![Page 5: Projection in 3D - Seoul National University3map.snu.ac.kr/courses/2011/cg/3D Projection.pdf · 2011-09-21 · Projection in 3D 서울대학교 ... Wedge Product . Point by Three](https://reader034.vdocuments.mx/reader034/viewer/2022042113/5e90104ded0a2c60ca2f96ae/html5/thumbnails/5.jpg)
Plane by Three Points
![Page 6: Projection in 3D - Seoul National University3map.snu.ac.kr/courses/2011/cg/3D Projection.pdf · 2011-09-21 · Projection in 3D 서울대학교 ... Wedge Product . Point by Three](https://reader034.vdocuments.mx/reader034/viewer/2022042113/5e90104ded0a2c60ca2f96ae/html5/thumbnails/6.jpg)
Wedge Product
![Page 7: Projection in 3D - Seoul National University3map.snu.ac.kr/courses/2011/cg/3D Projection.pdf · 2011-09-21 · Projection in 3D 서울대학교 ... Wedge Product . Point by Three](https://reader034.vdocuments.mx/reader034/viewer/2022042113/5e90104ded0a2c60ca2f96ae/html5/thumbnails/7.jpg)
Point by Three Planes
![Page 8: Projection in 3D - Seoul National University3map.snu.ac.kr/courses/2011/cg/3D Projection.pdf · 2011-09-21 · Projection in 3D 서울대학교 ... Wedge Product . Point by Three](https://reader034.vdocuments.mx/reader034/viewer/2022042113/5e90104ded0a2c60ca2f96ae/html5/thumbnails/8.jpg)
Projection in 3D
![Page 9: Projection in 3D - Seoul National University3map.snu.ac.kr/courses/2011/cg/3D Projection.pdf · 2011-09-21 · Projection in 3D 서울대학교 ... Wedge Product . Point by Three](https://reader034.vdocuments.mx/reader034/viewer/2022042113/5e90104ded0a2c60ca2f96ae/html5/thumbnails/9.jpg)
Projection in 3D
![Page 10: Projection in 3D - Seoul National University3map.snu.ac.kr/courses/2011/cg/3D Projection.pdf · 2011-09-21 · Projection in 3D 서울대학교 ... Wedge Product . Point by Three](https://reader034.vdocuments.mx/reader034/viewer/2022042113/5e90104ded0a2c60ca2f96ae/html5/thumbnails/10.jpg)
Projection in 3D
![Page 11: Projection in 3D - Seoul National University3map.snu.ac.kr/courses/2011/cg/3D Projection.pdf · 2011-09-21 · Projection in 3D 서울대학교 ... Wedge Product . Point by Three](https://reader034.vdocuments.mx/reader034/viewer/2022042113/5e90104ded0a2c60ca2f96ae/html5/thumbnails/11.jpg)
Projection in 3D
![Page 12: Projection in 3D - Seoul National University3map.snu.ac.kr/courses/2011/cg/3D Projection.pdf · 2011-09-21 · Projection in 3D 서울대학교 ... Wedge Product . Point by Three](https://reader034.vdocuments.mx/reader034/viewer/2022042113/5e90104ded0a2c60ca2f96ae/html5/thumbnails/12.jpg)
Perspective Projection in 3D
![Page 13: Projection in 3D - Seoul National University3map.snu.ac.kr/courses/2011/cg/3D Projection.pdf · 2011-09-21 · Projection in 3D 서울대학교 ... Wedge Product . Point by Three](https://reader034.vdocuments.mx/reader034/viewer/2022042113/5e90104ded0a2c60ca2f96ae/html5/thumbnails/13.jpg)
Parallel Projection in 3D
![Page 14: Projection in 3D - Seoul National University3map.snu.ac.kr/courses/2011/cg/3D Projection.pdf · 2011-09-21 · Projection in 3D 서울대학교 ... Wedge Product . Point by Three](https://reader034.vdocuments.mx/reader034/viewer/2022042113/5e90104ded0a2c60ca2f96ae/html5/thumbnails/14.jpg)
Viewing Transform in 3D
![Page 15: Projection in 3D - Seoul National University3map.snu.ac.kr/courses/2011/cg/3D Projection.pdf · 2011-09-21 · Projection in 3D 서울대학교 ... Wedge Product . Point by Three](https://reader034.vdocuments.mx/reader034/viewer/2022042113/5e90104ded0a2c60ca2f96ae/html5/thumbnails/15.jpg)
Depth Transform in 3D
![Page 16: Projection in 3D - Seoul National University3map.snu.ac.kr/courses/2011/cg/3D Projection.pdf · 2011-09-21 · Projection in 3D 서울대학교 ... Wedge Product . Point by Three](https://reader034.vdocuments.mx/reader034/viewer/2022042113/5e90104ded0a2c60ca2f96ae/html5/thumbnails/16.jpg)
Depth Transform in 3D
How can you check whether the given point
(x,y,z) is between the two planes?
How can you formulate the relative depth
as an affine transformation?
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Depth Transform in 3D