Search results
Results from the WOW.Com Content Network
As the distance between near and far clip planes increases, and in particular the near plane is selected near the eye, the greater the likelihood exists that z-fighting between primitives will occur. With large virtual environments inevitably there is an inherent conflict between the need to resolve visibility in the distance and in the ...
In mathematics and its applications, the signed distance function or signed distance field (SDF) is the orthogonal distance of a given point x to the boundary of a set Ω in a metric space (such as the surface of a geometric shape), with the sign determined by whether or not x is in the interior of Ω.
By rotating the cube by 45° on the x-axis, the point (1, 1, 1) will therefore become (1, 0, √ 2) as depicted in the diagram. The second rotation aims to bring the same point on the positive z -axis and so needs to perform a rotation of value equal to the arctangent of 1 ⁄ √ 2 which is approximately 35.264°.
A sphere in 3-space (also called a 2-sphere because it is a 2-dimensional object) consists of the set of all points in 3-space at a fixed distance r from a central point P. The solid enclosed by the sphere is called a ball (or, more precisely a 3-ball). The volume of the ball is given by
In mathematics, a spherical coordinate system specifies a given point in three-dimensional space by using a distance and two angles as its three coordinates. These are the radial distance r along the line connecting the point to a fixed point called the origin; the polar angle θ between this radial line and a given polar axis; [a] and
In computer-aided design the preferred term for a parallel curve is offset curve. [ 2 ] [ 3 ] [ 4 ] (In other geometric contexts, the term offset can also refer to translation . [ 5 ] ) Offset curves are important, for example, in numerically controlled machining , where they describe, for example, the shape of the cut made by a round cutting ...
The simplest 3D case of a skew coordinate system is a Cartesian one where one of the axes (say the x axis) has been bent by some angle , staying orthogonal to one of the remaining two axes. For this example, the x axis of a Cartesian coordinate has been bent toward the z axis by ϕ {\displaystyle \phi } , remaining orthogonal to the y axis.
A cylindrical coordinate system is a three-dimensional coordinate system that specifies point positions by the distance from a chosen reference axis (axis L in the image opposite), the direction from the axis relative to a chosen reference direction (axis A), and the distance from a chosen reference plane perpendicular to the axis (plane ...