STUDY AND APPLICATION OF PHYSICS-BASED DEFORMABLE CURVES AND SURFACES

Physics-based deformable curve and surface modeling techniques are pre sented. The new approach is efficient and easy to use in many aspects of geometric design. Its applications include the construction of N-si ded patches, surface smooth joining, curve and surface fairing, etc. T he equations of motion for the deformable curves and surfaces are deri ved using the Lagrangian mechanics and are solved by the finite elemen t method. The constraints, such as the position of points on curves or surfaces, the tangent plane and cross-derivative of surface are imple mented through the penalty function methods. (C) 1997 Elsevier Science Ltd.