Free-form surface generation system for camera design. Free-form surface generation from 3 dimensional measurement data.

Free-Form Surface Matching for Surface Inspection

Free Form Surface Design with A-Patches·

We present a sufficient criterion for the Bernstein-Bezier (BB) form of a trivariate polynomial within a tetrahedron, such that the real zero contour of the polynomial defines a smooth and single sheeted algebraic surface patch. We call this an A-patch. We present algorithms to build a mesh of cubic A-patches to interpolate a given set of scattered point data in three dimensions, respecting the...

The Free-form Surface Modelling System

The process of modelling is much easier, if mathematical description of an abject, or at least of part of an object may be applied. In the first case, however, a mathematical description of the object may be unavailable. One way of solution, is to use as a model the coordinates of the infinitely many points of the object, but this is not feasible for a computer with finite storage. More often, ...

Free-Form Surface Registration using Surface Signatures

This paper introduces a new free-form surface representation scheme for the purpose of fast and accurate registration and matching. Accurate registration of surfaces is a common task in computer vision. The proposed representation scheme captures the surface curvature information, seen from certain points and produces images, called surface signatures, at these points. Matching signatures of di...

Free-Form Surface Reconstruction from Multiple Images

It is widely appreciated that 3D structures may be computed from multiple 2D images of the same scene given point correspondences between images. We review the process from a projective geometry perspective. Of greater interest, however, is the generation of surfaces that give a compact representation of the geometric model. Assuming we are dealing with smooth surfaces, we show that B-spline is...