Constrained Multiresolution Geometric Modelling
نویسندگان
چکیده
Freeform curves, surface and solids are generally represented in B-spline basis. Various geometric quantities, such as control points, knots and weights have to be specified. Controlling the shape of an object under complex deformations by manipulating the control points directly is often difficult. The movement of control points gives an indication of the resulting deformation, but being extraneous to the object, the control points do not allow for precise control of the shape. In addition, large deformations of complex objects with many details to be preserved become nearly impossible without any ”higher level” control mechanisms. User-friendly shape-control tools, therefore, generally make use of modeling techniques that integrate constraints. The present paper surveys the state-of-the-art of geometric modeling techniques that integrate constraints, including direct shape manipulation, physics-based modeling, solid modeling and freeform deformations as well as implicit surface modeling. In particular, we will focus on recent advances of multiresolution modeling of shapes under constraints. Going beyond the limits of traditional modeling techniques, they allow for editing of complex objects while automatically preserving the details.
منابع مشابه
Déformation de courbes et surfaces multirésolution sous contraintes. (Constrained deformation of multiresolution curves and surfaces)
Building intuitive tools for manipulating curves and surfaces is a challenging task in the domains of geometric modelling and computer graphics. First, such tools need an appropriate mathematical model of the geometric objects. In addition, geometric constraints can enhance ergonomics, once they have been integrated into the editing tool. We investigate the integration of non linear constraints...
متن کاملAdvances in Multiresolution for Geometric Modelling
If you get the printed book in on-line book store, you may also find the same problem. So, you must move store to store and search for the available there. But, it will not happen here. The book that we will offer right here is the soft file concept. This is what make you can easily find and get this advances in multiresolution for geometric modelling by reading this site. We offer you the best...
متن کاملConstrained Multiresolution Geometric Modeling
Freeform curves, surface and solids are generally represented in B-spline basis. Various geometric quantities, such as control points, knots and weights have to be specified. Controlling the shape of an object under complex deformations by manipulating the control points directly is often difficult. The movement of control points gives an indication of the resulting deformation, but being extra...
متن کامل