Method and system for hybrid modeling using geometric facets

A computer system performing geometry trimmings that build three dimensional geometric models for product design, using rendering facets that are geometric facets being rendered to represent geometric objects A and B, the system comprising:

• a computer with input devices for entering data and commands, a display device showing user interface and geometric objects, a medium storing geometric data and instructions, and a processor that executes these steps:
• mapping respectively rendering facets of A and B to a set of operating triangles that contain neighboring triangles;
• building an intersection line that repeats more times and forms intersection lines starts with searching for an intersection point where a pair of triangles (Ta, Tb) intersect, then catching neighboring triangles of the pair and conducting edge-triangle intersection to extend a line until all triangles are traveled or the line gets closed, wherein Ta belongs to A and Tb belongs to B;
• splitting each triangle through which an intersection line passes with intersection line segments that form one or more sub-intersection lines using modified Watson method, wherein each triangle is divided into more smaller triangles;
• sectioning respectively A and B with intersection lines, wherein an intersection line sections a geometric object into two sections, left side and right side;
• setting each geometric object's reservation type attribute that indicates one or more sections of the geometric object, wherein the reservation type attribute is volume, or area, or amount of facets, or visibility of a section;
• calculating each section's geometric property and deciding which sections of the geometric objects are to be reserved, wherein the system calculates volume of a section, or calculates area of a section, or calculates amount of facets of a section, or calculates visibility of a section;
• regrouping triangles building one or more new geometric objects in accordance with an attribute, separation, by copying reserved triangles;
• and
• mapping each new geometric object to rendering facets forming a three dimensional geometric model.