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  2. Isometric video game graphics - Wikipedia

    en.wikipedia.org/wiki/Isometric_video_game_graphics

    One of the most common problems with programming games that use isometric (or more likely dimetric) projections is the ability to map between events that happen on the 2d plane of the screen and the actual location in the isometric space, called world space. A common example is picking the tile that lies right under the cursor when a user clicks.

  3. 3D projection - Wikipedia

    en.wikipedia.org/wiki/3D_projection

    If the normal of the viewing plane (the camera direction) is parallel to one of the primary axes (which is the x, y, or z axis), the mathematical transformation is as follows; To project the 3D point , , onto the 2D point , using an orthographic projection parallel to the y axis (where positive y represents forward direction - profile view ...

  4. Triangulation (computer vision) - Wikipedia

    en.wikipedia.org/wiki/Triangulation_(computer...

    The triangulation problem is in principle trivial. Since each point in an image corresponds to a line in 3D space, all points on the line in 3D are projected to the point in the image. If a pair of corresponding points in two, or more images, can be found it must be the case that they are the projection of a common 3D point x.

  5. Parallax mapping - Wikipedia

    en.wikipedia.org/wiki/Parallax_mapping

    Parallax mapping is essentially a method by which rough or uneven surfaces on a 2D texture can be "pulled out" to take on the appearance of a 3D surface. Technically, this is implemented by displacing the texture coordinates at a point on the rendered polygon by a function of the view angle in tangent space (the angle relative to the surface ...

  6. Planar projection - Wikipedia

    en.wikipedia.org/wiki/Planar_projection

    Planar projections are the subset of 3D graphical projections constructed by linearly mapping points in three-dimensional space to points on a two-dimensional projection plane. The projected point on the plane is chosen such that it is collinear with the corresponding three-dimensional point and the centre of projection .

  7. Homogeneous coordinates - Wikipedia

    en.wikipedia.org/wiki/Homogeneous_coordinates

    The point is then mapped to a plane by finding the point of intersection of that plane and the line. This produces an accurate representation of how a three-dimensional object appears to the eye. In the simplest situation, the center of projection is the origin and points are mapped to the plane z = 1 {\displaystyle z=1} , working for the ...

  8. 3D reconstruction from multiple images - Wikipedia

    en.wikipedia.org/wiki/3D_Reconstruction_from...

    It is the reverse process of obtaining 2D images from 3D scenes. The essence of an image is a projection from a 3D scene onto a 2D plane, during which process the depth is lost. The 3D point corresponding to a specific image point is constrained to be on the line of sight.

  9. Camera matrix - Wikipedia

    en.wikipedia.org/wiki/Camera_matrix

    The camera matrix derived in the previous section has a null space which is spanned by the vector = This is also the homogeneous representation of the 3D point which has coordinates (0,0,0), that is, the "camera center" (aka the entrance pupil; the position of the pinhole of a pinhole camera) is at O.