Search results
Results from the WOW.Com Content Network
The intersection of a ray of light with each plane is used to produce an image of the surface. In vision-based 3D reconstruction, a subfield of computer vision, depth values are commonly measured by so-called triangulation method, which finds the intersection between light plane and ray reflected toward camera.
In vector notation, the equations are as follows: . Equation for a sphere ‖ ‖ = : points on the sphere : center point : radius of the sphere; Equation for a line starting at
On the contrary, some constructions in continuous programs (so far only Cinderella and GeoGebra), depend on the number of hidden parameters and in such a way that moving a given point produces a continuous motion of the construction, as a result, if the point is moved back to the original position the result of construction might be different.
In mathematics it is a common convention to express the normal as a unit vector, but the above argument holds for a normal vector of any non-zero length. Conversely, it is easily shown that if a , b , c , and d are constants and a , b , and c are not all zero, then the graph of the equation a x + b y + c z + d = 0 , {\displaystyle ax+by+cz+d=0 ...
The vector projection (also known as the vector component or vector resolution) of a vector a on (or onto) a nonzero vector b is the orthogonal projection of a onto a straight line parallel to b. The projection of a onto b is often written as proj b a {\displaystyle \operatorname {proj} _{\mathbf {b} }\mathbf {a} } or a ∥ b .
The only way that the ray will not intersect the plane is if the ray's direction vector is parallel to the plane. [3] When this happens, the dot product between the ray's direction vector and the plane's normal vector will be zero. Otherwise, the ray does intersect the plane somewhere, but not necessarily within the triangle.
The edge space is the /-vector space freely generated by the edge set E. The dimension of the vertex space is thus the number of vertices of the graph, while the dimension of the edge space is the number of edges. These definitions can be made more explicit.
The GeoGebra Materials platform [11] is a cloud service that allows users to upload and share GeoGebra applets with others. GeoGebra Materials was originally launched as GeoGebraTube in June 2011, and was renamed in 2016. As of April 2016 the service hosts more than 1 million resources, 400,000+ of which are public.