Abstract: A method of generating a surface grid may include forming a layer curve along the surface, forming a plurality of points along the layer curve, and extending a tangent vector from each one of the most recently formed points. Additional points may be formed on the surface at a step distance from the most recently formed points. The additional points may be interconnected to form an additional layer curve. The additional points may be connected with the most recently formed points to form a layer of quadrilateral faces wherein each one of the faces is a column. The growth of a column may be terminated when an aspect ratio of the face in the column exceeds a predetermined value. The steps of extending tangent vectors, forming the additional points, and forming an additional layer curve may be repeated until each one of the columns is terminated.

Abstract: A method of generating a grid on a surface comprises the steps of forming a layer curve along the surface, forming a plurality of points along the layer curve and extending a tangent vector from each one of the most recently formed points. The method may further comprise forming a set of additional points on the surface at a step distance from corresponding ones of the most recently formed points. The set of additional points may be interconnected to form an additional layer curve. The set of additional points may be connected with the corresponding ones of the most recently formed points to form a layer of quadrilateral faces wherein each one of the faces comprises a column. The growth of a column may be terminated upon an aspect ratio of the face in the column exceeding a predetermined value. The steps of extending tangent vectors, forming the set of additional points and forming an additional layer curve may be iteratively repeated until each one of the columns is terminated.