T-Spline Polygonal Complexes
نویسندگان
چکیده
منابع مشابه
Conformal Solid T-spline Construction from Boundary T-spline Representations
To achieve a tight integration of design and analysis, conformal solid T-spline construction with the input boundary spline representation preserved is desirable. However, to the best of our knowledge, this is still an open problem. In this paper, we provide its first solution. The input boundary T-spline surface has genus-zero topology and only contains eight extraordinary nodes, with an isopa...
متن کاملAccurate B-spline Free-Form Deformation of Polygonal Objects
Free-form deformation is an important geometric shape modification method in computer animation and geometric modeling. We explore it by means of functional composition via shifting operators. Our method takes a polygonal model as input but yields a curved model described by triangular Bézier patches as output. The proposed method also solves the sample problem of free-form deformation. keyword...
متن کاملAccelerating Accurate B-spline Free-form Deformation of Polygonal Objects
A previous paper described an algorithm for accurate B-spline free-form deformation of polygonal objects to produce triangular Bézier patches. However that algorithm computed the control points of resulting patches using a generalized de Casteljau algorithm, which is expensive to compute. In this short note, we describe an algorithm that instead uses polynomial interpolation; both theoretical a...
متن کاملApproximation by Bases on Polygonal Complexes
We consider the approximation properties of a class of bases defined on refined polygonal complexes. This class includes many bases used in geometric modeling for surfaces of arbitrary topology, subdivision surfaces in particular. We show that under moderately weak assumptions, the approximation rate of the bases in our class is no worse than the approximation rate of these bases restricted to ...
متن کاملThinning on cell complexes from polygonal tilings
This paper provides a theoretical foundation of a thinning method due to Kovalevsky for 2D digital binary images modelled by cell complexes or, equivalently, by Alexandroff T0 topological spaces, whenever these are constructed from polygonal tilings. We analyze the relation between local and global simplicity of cells, and prove their equivalence under certain conditions. For the proof we apply...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computer-Aided Design and Applications
سال: 2014
ISSN: 1686-4360
DOI: 10.1080/16864360.2014.997643