How do you convert 2D coordinates to 3d coordinates?

Word,Excel and many softwares can readily show such images of blocks. To formulate a surface if co-ordinates are given in parametric form x(t),y(t) forming any base contour, then add z=cu, where c is chosen for the depth you want. (x(t),y(t),cu); In general conversion of 2D projection to 3D as you ask is indeterminate.

What is the 3d coordinate system?

In three-dimensional space, the Cartesian coordinate system is based on three mutually perpendicular coordinate axes: the x-axis, the y-axis, and the z-axis, illustrated below. The three axes intersect at the point called the origin.

How do you find the point of a 3d plane?

A plane equation is the equation that will give a 0 for any points inside that plane. You already have the plane equation, so all you need to do is to enter the new x, y, z in the equation. If you get 0 then the point is in that plane.

How do you map 3D coordinates to 2D?

In order to transform 3D coordinates to 2D coordinates, we can thus simply divide the X and Y values in the coordinates by the Z value in order to display them as X and Y coordinates in a 2 dimensional view. x2d = x3d / z3d; y2d = y3d / z3d; Told you this was easy.

What is 2D coordinate system?

Two-dimensional coordinate geometry deals with the x and y coordinates which are represented in a coordinate plane or Cartesian plane. A coordinate plane has two axes, the one which is horizontal is known as X-axis and the one which is vertical is known as Y-axis.

How do I find the 2D coordinates of a 2D plane?

The distance from the camera to the 2D plane onto which you are projecting is F (so the equation of the plane is Z-Zc=F). The 2D coordinates of P projected onto the plane are (X’, Y’). To obtain the perspective-corrected co-ordinates, just divide by the z co-ordinate:

What is the standard way to represent 2D/3D transformations?

I see this question is a bit old, but I decided to give an answer anyway for those who find this question by searching. The standard way to represent 2D/3D transformations nowadays is by using homogeneous coordinates. [x,y,w] for 2D, and [x,y,z,w] for 3D.

How to find the perspective coordinates of a plane?

To obtain the perspective-corrected co-ordinates, just divide by the z co-ordinate: The above works assuming that the camera is at (0, 0, 0) and you are projecting onto the plane at z = 1 — you need to translate the co-ords relative to the camera otherwise.

What is the difference between 2D rotation and 3D rotation?

It can be treated as 2D rotation with z-x coordinates solely. x – axis: Again, it is in the y-z plane and x is unchanged. Generalization to any axis: An axis is essentially a 3D line. It can be characterized with a point A on that line and a vector L along the line.