code: protected void estimateCase1( double betas[] ) {
  		betas[0] = matchScale(nullPts[0], controlWorldPts);
  		betas[0] = adjustBetaSign(betas[0],nullPts[0]);
  		betas[1] = 0; betas[2] = 0; betas[3] = 0;
  	}
docs: Simple analytical solution.  Just need to solve for the scale difference in one set
  of potential control points.