We present a shape optimization approach to compute patient-specific models in customized prototyping applications. We design a coupled shape prior to model the transformation between a related pair of surfaces, using a nonparametric joint probability density estimation. The coupled shape prior forces with the help of application-specific data forces and smoothness forces drive a surface deform...

B-spline methods have several advantages over Bezier techniques. B-splines are piecewise polynomials that meet smoothly at their common boundaries independent of the location of the control points. This guaranteed smoothness allows designers to use low degree polynomial pieces to construct complicated freeform shapes. In addition, a control point of a B-spline curve or surface has no influence ...

Complex shapes bounded by free form surfaces are designed and modified by specifying the parameters of their mathematical descriptions. Although most graphics and design systems provide high level tools for free form shape modifications, they are not intuitive and suitable for a creative designer or a stylist. In the paper a technique is proposed for the modification of the shape of a parametri...

Complex shapes bounded by free form surfaces are designed and modified by specifying the parameters of their mathematical descriptions. Although most graphics and design systems provide high level tools for free form shape modifications, they are not intuitive and suitable for a creative designer or a stylist. In the present paper a technique is proposed for the modification of the shape of a p...

In computer aided geometric design and computer graphics, high quality fair surfaces with G2 smoothness are sometimes required. In this paper we derive a general sixth order geometric partial differential equation from minimizing a curvature integral functional. The obtained equation is used to solve several surface modeling problems such as free-form surface design, surface blending and N-side...

This paper proposes an advanced cut-and-paste editing for three-dimensional models. We introduce a new parameterization technique based on constrained B-spline surface/volume fitting. Our cut-and-paste editing is performed on this parameterization. In our method, a parametric volume is generated so that its isoparametric surface fits to the base surface and the volume bounds the detail. Our vol...

We are interested in reconstructing paper-like objects from images. These objects are modeled by developable surfaces and are mathematically wellunderstood. They are difficult to minimally parameterize since the number of meaningful parameters is intrinsically dependent on the actual surface. We propose a quasi-minimal model which self-adapts its set of parameters to the actual surface. More pr...

We analyze surface patches with a corner that is rounded in the sense partial derivatives at point are antiparallel. Sufficient conditions for $G^1$ smoothness given, which, up to certain degenerate case, also necessary. Further, we investigate curvature integrability and present examples

Based on the Novachip ultra-thin layer project in expressway, material characteristics, mixture design and road performance of asphalt are introduced. The application effect was observed. results show that has no obvious improving smoothness original surface. rutting, a good anti-skid performance.