| 摘要 |
<p>Systems and methods are presented for generating surface lines on mesh surfaces and voxel objects. In exemplary embodiments of the present invention directed to mesh surfaces, such methods include preprocessing a triangle mesh data structure, constructing a grid data structure for the triangle mesh object, representing a relationship of triangles and vertices, determining boundary edges and vertices, computing a series of surface points, and generating a surface line. In exemplary embodiments of the present invention this technique can be used to cut a mesh surface along the line generated. In exemplary embodiments of the present invention a surface line can be generated from start point A to end point B along an arbitrary curved surface based on the start point and the direction of a vector from the start point to the end point. In such embodiments a point having a small displacement away from the start point can be defined as a reference point, and such reference point can be rotated along an axis defined by the normal of a defined plane to obtain an initial surface point. By repeating the above process using each obtained surface point as a new start point a surface line can be generated from point A to point B on a voxel object's surface. In exemplary embodiments of the present invention such surface lines can be used to perform measurements of volumes of such voxel objects.</p> |
