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The Complete Chain of Transforms In the previous section we looked at the 3D pipeline that transforms a set of vertices all the way from MCS to SCS. Let s summarize the results with Figure 11-22. Figure 11-22 The chain of transforms We now have quite a few classes (and […]

Listing 11-11 The fMatrix3d class /** * A 3d matrix that hides the making of the different * transforms */ class fMatrix3d extends fGeneric3dMatrix { /** * construct the matrix */ public fMatrix3d(){ super(); } /** * let matrix contain the […]

Black Art of Java Game Programming by Joel Fan Sams, Macmillan Computer Publishing ISBN: 1571690433 Pub Date: 11/01/96 Previous Table of Contents Next Implementing the 3D Angle Class (fAngle3d) The fAngle3d class, shown in Listing 11-10, simplifies the handling of 3D angles. The x, y, z values […]

} boolean equals (fPoint3d p) { return (p.x==x)&&(p.y==y)&&(p.z==z); } void set (fPoint3d p) { x=p.x; y=p.y; z=p.z; } } Previous Table of Contents Next Note: If you are looking for best quality webspace to host and run your tomcat application check Vision tomcat hosting […]

The Static Buffers The static buffer of 3D coordinates is used for storing the VCS vertices before the projection. It is static because only one camera at a time will use it. The static buffer of two-dimensional coordinates is used for projection. It will be borrowed to the caller […]

screendist=(double)x0/(Math.tan(viewAngle/2)); //– construct the matrix myWCStoVCSmatrix=new fMatrix3d(); //– myPosition=new fPoint3d(); myAngle=new fAngle3d(); matrixIsDirty=true; } /** * sets the position and angle of the camera. */ public void setOrientation(fPoint3d pos,fAngle3d agl){ if(myPosition.equals(pos)==false){ myPosition.set(pos); matrixIsDirty=true; } if(myAngle.equals(agl)==false){ myAngle.set(agl); […]

Black Art of Java Game Programming by Joel Fan Sams, Macmillan Computer Publishing ISBN: 1571690433 Pub Date: 11/01/96 Previous Table of Contents Next Implementing a Generic Camera (fGenericCamera) A few details in the implementation need to be discussed before we study the code for the fGenericCamera (Listing […]

As you see when the dust clears, we end up with a few lines of simple code. This is only because the 3D coordinates were in the VCS, which simplified the projection stage. As I mentioned earlier, the projection can be done using vertices in the WCS, but it would be more […]

hassle is because negative Z is pointing into the screen. The only unknown and the term that we are interested in in the equation is Xscreen. The equation is rewritten: The Yscs coordinate is calculated using almost the same equations but now involving the y coordinate instead of the x: […]

What makes this transform different from the others we have examined is that it cannot be expressed with a matrix operation. at least not completely. The reason for this is that it is not a linear transform. The projection of 3D points to a two-dimensional plane can be theoretically done from […]