In 3D graphics, objects are located in a three-dimensional Cartesian coordinate system. The coordinates (X, Y, Z) define the position of a point or vertex in 3D space. The origin (0, 0, 0) is typically the reference point.
Coordinate Systems
In 3D graphics, objects are located in a three-dimensional Cartesian coordinate system. The coordinates (X, Y, Z) define the position of a point or vertex in 3D space. The origin (0, 0, 0) is typically the reference point.
To locate a point in 3D space, you use coordinates. A coordinate is a set of three values (X, Y, Z) that specify a point's position relative to the origin. For example, (3, 2, 1) represents a point located 3 units to the right (X), 2 units upward (Y), and 1 unit forward (Z) from the origin.
Coordinate Transformations
Transformations like translation (shifting), rotation (changing orientation), and scaling (changing size) are fundamental operations in 3D space. They are used to manipulate objects and points.
Position
Scale
Rotation
Fig 1. 2D vs 3D
Matrix
XYZ → PSR → RGB
Vectors
Vectors in 3D space are quantities with both magnitude and direction. They are often used to represent displacement, velocity, force, and other physical quantities. Vectors have three components (X, Y, Z) and can be added, subtracted, and multiplied by scalars.
An understanding of vectors are the key to create and move things in visual scripting, programming shaders, rendering and software such as houdini
Cartesian, polar, and spherical coordinates
Also see:
Cross Product and Dot Product
Orthogonal Projection
Distance and Magnitude
Primitives
Solid Geometry — Primitives vs Geometry
Solid geometry deals with three-dimensional shapes (solids) such as cubes, spheres, cylinders, and pyramids. Understanding the properties and volumes of these shapes is fundamental in geometry and engineering.
Geometry
Vertices, Edges, and Faces
3D models are constructed from vertices (points in space), edges (lines connecting vertices), and faces (flat surfaces defined by three or more vertices). These elements come together to create complex 3D shapes.
Polygon
Edges
Point
Mesh
A mesh is a collection of vertices, edges, and faces that define the overall structure of a 3D model. Meshes can be composed of different types of polygons, but triangles and quads are common due to their simplicity.
mesh
submeshes
Normals
Planes: A plane in 3D space is a flat, two-dimensional surface that extends infinitely in all directions. It can be defined by a point on the plane and a normal vector (a vector perpendicular to the plane).
Tris, quads & NGons
Structures
While selecting an object you can access the structure manager by selecting windows → Structure manager