The homotopy model: a generalized model for smooth surface generation from cross sectional data

摘要: A generalized model, called the homotopy is presented to reconstruct surfaces from cross-sectional data of objects using a generate connecting consecutive contours. The model consists continuous toroidal graph representation and homotopic generation representation. It shown that includes triangulation as special case generates smooth parametric contour-line definitions homotopy. can be applied contours represented by curves well linear line segments. First, heuristic method finds optimal path on presented. Then expanded version. Finally, used for reconstructing loft surface also homotopy, straight-line Homotopy corresponds cardinal spline introduced. Three-dimensional reconstruction human auditory ossicles illustrates advantages over others.