METHOD FOR MODELLING THREE DIMENSIONAL SHAPE OF OBJECTS USING LEVEL SET SOLUTIONS ON PARTIAL DIFFERENCE EQUATION DERIVED FROM HELMHOLTZ RECIPROCITY CONDITION

摘要

A method of modeling a 3D shape of an object using a level set solution of a partial differential equation derived from Helmholtz reciprocity condition is provided to restore the 3D shape of an object irrespective of surface feature of the object. An image captured using a camera and lighting designed to satisfy Helmholtz reciprocity condition is inputted(S11). Optical calibration for determining the intensity of light corresponding to RGB color values of the inputted image and geometric calibration for calculating an internal factor and an external factor of the camera using a 3D lattice pattern are performed in parallel(S12,S13). Only a camera capable of viewing arbitrary points on the surface of a 3D object is selected(S21), and a cost function for measuring a degree to which the 3D object satisfies Helmholtz constraints is defined and calculated(S22). A velocity function in the form of partial differential equation defining the velocity of the surface of the object, which minimizes the cost function, is calculated(S31) and the velocity function is solved using a level set. A 3D mesh model is generated from a set of points constructing the surface of the object(S41), and a final 3D mesh model is determined through comparison of cost function values.