The problem of curve and surface fairness is studied from the point of view of physics-based modeling techniques. Energy-based deformable models are used to fit a set of unorganized data points. This method needs no connectivity information about data points. The contradictory of “smooth” and “fit” can be mediated by anchoring an imaginary spring between each data point and deformable curve or surface. The cubic B-spline is adopted as the basis for the deformable curve and surface. The fairing model is established. The principle is analyzed and the algorithm is presented. Some examples are presented.