Trimming for subdivision surfaces
نویسندگان
چکیده
Trimming is an important primitive operation in geometric modeling. It is also the root of many numerical and topological problems in modern NURBS based CAGD systems. In this paper we introduce a new method for trimming subdivision surfaces. It is based on the use of combined subdivision schemes to guarantee exact interpolation of trim curves. The latter ensures, for example, that if two surfaces share a trim curve, they will meet exactly at the trim curve. In contrast to traditional approaches to trimming (e.g., for NURBS) we construct a new control mesh with each trim operation. This causes a perturbation of the surface near the trim region, which we control through the use of multiresolution details. These are computed rapidly and at low cost with the help of a novel set of quasi-interpolation operators. We demonstrate our algorithm with a number of examples.
منابع مشابه
Conversion of Trimmed NURBS Surfaces to Untrimmed Catmull-Clark Subdivision Surfaces
We introduce a novel method to convert trimmed NURBS surfaces to untrimmed subdivision surfaces with Bézier edge conditions. We take a NURBS surface and its trimming curves as input, from this we automatically compute a base mesh, the limit surface of which fits the trimmed NURBS surface to a specified tolerance. We first construct the topology of the base mesh by performing a cross-field based...
متن کاملRay Tracing Triangular Trimmed Free Form Surfaces
This paper presents a new approach to rendering triangular algebraic free form surfaces. A hierarchical subdivision of the surface with associated tight bounding volumes provides for quick identification of the surface regions likely to be hit by a ray. For each leaf of the hierarchy an approximation to the corresponding surface region is stored. The approximation is used to compute a good star...
متن کاملConversion of trimmed NURBS surfaces to Catmull-Clark subdivision surfaces
This paper introduces a novel method to convert trimmed NURBS surfaces to untrimmed subdivision surfaces with Bézier edge conditions. We take a NURBS surface and its trimming curves as input, from this we automatically compute a base mesh, the limit surface of which fits the trimmed NURBS surface to a specified tolerance. We first construct the topology of the base mesh by performing a cross-fi...
متن کاملDesigning Subdivision Surfaces through Control Mesh Refinement
Trimmer Class STrimmer is the abstract base surface trimmer class. For every refinement level it defines the trimming of a surface along each control mesh dimension. This trimming is represent by a Start vector and an End vector, where the size of the vector is equal to the control mesh dimension. Each element in these vectors represent the number of control vertices that need to be trimmed fro...
متن کاملA Marching Method for Computing Intersection Curves of Two Subdivision Solids
This paper presents a marching method for computing intersection curves between two solids represented by subdivision surfaces of Catmull-Clark or Loop type. It can be used in trimming and boolean operations for subdivision surfaces. The main idea is to apply a marching method with geometric interpretation to trace the intersection curves. We first determine all intersecting regions, then find ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Computer Aided Geometric Design
دوره 18 شماره
صفحات -
تاریخ انتشار 2001