projection in 3d - seoul national university3map.snu.ac.kr/courses/2011/cg/3d projection.pdf ·...

Projection in 3D 서울대학교 컴퓨터공학부 김명수

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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

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

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

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

Plane by Three Points

Wedge Product

Point by Three Planes

Projection in 3D

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

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

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

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

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?

Page 17: 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

Depth Transform in 3D

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