Geometry
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin, usually at ordered pair (0, 0). The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin.
http://en.wikipedia.org/wiki/Cartesian_coordinate_system
This video shows a calculus three dimensional coordinates systems about the axis x and y
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin, usually at ordered pair (0, 0). The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin.
http://en.wikipedia.org/wiki/Cartesian_coordinate_system
This video shows a calculus three dimensional coordinates systems about the axis x and y
3D Geometric Modelling
Different applications require different representations: some applications use only simple geometric entities such as lines and arcs; others require sculptured curves and surfaces; manifold solids are often used for mechanical design; solids composed of different materials for 3D modelling and finite element analysis, non-closed objects or objects with internal structures for crash analysis.
https://whoschungy.files.wordpress.com/2012/09/lowpoly_base_heads-e1287775987923.jpg
Primitives
The most common 3D primitives are cubes, pyramids, cones, spheres, and tori. Like 2D shapes, these primitives can have a resolution level assigned to them so that you can make them look smoother by boosting the number of sides and steps used to define them.
http://www.webreference.com/3d/cararra/images/fig1_12.jpg
Surface
Surface, In geometry, a two-dimensional collection of points flat surface, a three dimensional collection of points whose cross section is a curve curved surface, or the boundary of any three dimensional solid. In general, a surface is a continuous boundary dividing a three dimensional space into two regions. For example, the surface of a sphere separates the interior from the exterior a horizontal plane separates the half plane above it from the half plane below. Surfaces are often called by the names of the regions they enclose, but a surface is essentially two dimensional and has an area, while the region it encloses is three dimensional and has a volume. The attributes of surfaces, and in particular the idea of curvature, are investigated in differential geometry.
http://research.microsoft.com/en-us/groups/graphics/goldbunny.jpg
Surface, In geometry, a two-dimensional collection of points flat surface, a three dimensional collection of points whose cross section is a curve curved surface, or the boundary of any three dimensional solid. In general, a surface is a continuous boundary dividing a three dimensional space into two regions. For example, the surface of a sphere separates the interior from the exterior a horizontal plane separates the half plane above it from the half plane below. Surfaces are often called by the names of the regions they enclose, but a surface is essentially two dimensional and has an area, while the region it encloses is three dimensional and has a volume. The attributes of surfaces, and in particular the idea of curvature, are investigated in differential geometry.
http://research.microsoft.com/en-us/groups/graphics/goldbunny.jpg
No comments:
Post a Comment