07object3d

3D Object Representation 고려대학교 컴퓨터 그래픽스 연구실

Overview ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

3D Geometric Primitives ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

3D Point ,[object Object],[object Object],[object Object],typedef struct{ Coordinate x; Coordinate y; Coordinate z; } Point; (x, y, z)

3D Vector ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],typedef struct{ Coordinate x; Coordinate y; Coordinate z; } Vector; (d x 1 , d y 1 , d z 1 ) (d x 2 , d y 2 , d z 2 )

3D Line ,[object Object],[object Object],[object Object],typedef struct{ Point P 1 ; Vector V; } Line; P 1 V

3D Ray ,[object Object],[object Object],[object Object],typedef struct{ Point P 1 ; Vector V; } Ray; P 1 V

3D Line Segment ,[object Object],[object Object],[object Object],typedef struct{ Point P 1 ; Point P 2 ; } Segment; P 1 P 2

3D Plane ,[object Object],[object Object],[object Object],[object Object],typedef struct{ Vector N; Distance d; } Plane; N=(a, b, c) P 3 P 2 P 1 Origin d

3D Polygon ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],typedef struct{ Point *Points; int npoints; } Polygon; Points are in counter-clockwise order

3D Sphere ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],r (c x , c y , c z )

3D Object Representations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Point Cloud ,[object Object],[object Object]

Range Image ,[object Object],[object Object],Range Image Tessellation Range Surface

Polygon Soup ,[object Object],[object Object]

3D Object Representations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Mesh ,[object Object],[object Object]

Subdivision Surfaces ,[object Object],[object Object]

Parametric Surfaces ,[object Object],[object Object]

Implicit Surface ,[object Object],Polygonal Model Implicit Model

Voxels ,[object Object],[object Object]

BSP Tree ,[object Object],[object Object],a b c d e f g Object a b c d e f g Binary Spatial Partition 1 2 3 4 5 6 7 1 2 a 3 b c 4 d 5 6 e 7 f BSP Tree

Sweep ,[object Object],Constructing a Torus using Rotational Sweep

Summary ,[object Object],Voxel Discrete Continuous Combinational Functional Mesh Subdivision BSP Tree Bezier B-Spline Algebraic Topological Set Membership Parametric Implicit

07object3d

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