Improved quantitative testing of a non-symmetric convex surface using a conical null-screen

In this work, we show the design of a conical null-screen for evaluating non-symmetric convex surfaces, such as toroidal and biconical convex surfaces. We propose a customized evaluation algorithm to compute the shape of the surface. The data obtained by our algorithm are fitted to a customized non-symmetric shape surface, considering orthogonal polynomials, to obtain the geometrical parameters such as the radius of curvature and the conic constant. The advantages and disadvantages of applying this algorithm to the quantitative test results are also presented.