Triangular 3-subdivision schemes: the regular case
نویسندگان
چکیده
منابع مشابه
Improved Triangular Subdivision Schemes
In this article we improve the butterfly and Loop’s algorithm. As a result we obtain subdivision algorithms for triangular nets which can be used to generate G and G surfaces, respectively.
متن کاملDesigning composite triangular subdivision schemes
The paper iterates on the observation made independently by several groups of authors that building subdivision schemes out of simple, very local and geometrically invariant averaging rules is convenient both from a theoretical and practical point of view. We review the benefits of this approach with special emphasis on the smoothness analysis of the limit surfaces, derive certain guidelines fo...
متن کاملAdaptive Subdivision Schemes for Triangular Meshes
Of late we have seen an increase in the use of subdivision techniques for both modeling and animation. They have given rise to a new surface called the subdivision surface which has many advantages over traditional Non Uniform Rational B-spline (NURB) surfaces. Subdivision surfaces easily address the issues related to multiresolution, re nement, scalability and representation of meshes. Many sc...
متن کاملAnalyzing the Characteristic Map of Triangular Subdivision Schemes
Introduction In the last two decades many subdivision schemes for di erent purposes were devised see e g All these algorithms generate from an initial control net a sequence of nets which converges to a limiting surface Although su cient conditions for the convergence to a smooth limiting surface were given in and their rigorous application has been carried out only for some of the above mentio...
متن کاملCharacteristics of Dual Triangular √ 3 Subdivision
We investigate whether dual triangular √ 3 subdivision can be made practical. We conclude that it has serious drawbacks. Our analysis provides insights into the sorts of problem which occur with subdivision schemes which break symmetry.
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: Journal of Computational and Applied Mathematics
سال: 2003
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(02)00904-4