Generalized B-spline subdivision-surface wavelets for geometry compression
نویسندگان
چکیده
منابع مشابه
Generalized Spline Wavelets
l j l ZZ r g Then r are called orthogonal wavelets of multiplicity r if B forms an orthonormal basis of L IR We say that r are wavelets prewavelets of multiplicity r if B forms a Riesz basis of L IR and j l is orthogonal to k n f r g l n j k ZZ with j k The general theory of wavelets of multiplicity r is treated in As usual the method is based on a generalization of the notion of multiresolutio...
متن کاملContour Image Data Compression Using Spline Wavelets
There are many applications where the shape of objects needs to be encoded, such as CAD, 3D modelling, signature encoding [9], as well as region oriented video coding techniques [1], where the shape information is described by a binary mask having the same values for all the pixels inside the shape. The binary mask indicates the region(s) in which the texture of the object needs to be coded [7]...
متن کاملGeneralized B-spline functions method for solving optimal control problems
In this paper we introduce a numerical approach that solves optimal control problems (OCPs) using collocation methods. This approach is based upon B-spline functions. The derivative matrices between any two families of B-spline functions are utilized to reduce the solution of OCPs to the solution of nonlinear optimization problems. Numerical experiments confirm our heoretical findings.
متن کاملREVERSE LOOP SUBDIVISION FOR GEOMETRY AND TEXTURES
Reverse subdivision aims at constructing a coarser representation of an object given by a fine polygon mesh. In this paper, we first derive a mask for reverse Loop subdivision that can be applied to both regular and extraordinary vertices. The mask is parameterized, and thus can also be used in reversing variants of Loop subdivision, such as those proposed by Warren and Litke. We apply this mas...
متن کاملHierarchical Representation of Time-varying Volume Data with Subdivision and Quadrilinear B-spline Wavelets
Multiresolution methods for representing data at multiple levels of detail are widely used for large-scale twoand three-dimensional data sets. We present a four-dimensional multiresolution approach for time-varying volume data. This approach supports a hierarchy with spatial and temporal scalability. The hierarchical data organization is based on subdivision. The -subdivision scheme only double...
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: IEEE Transactions on Visualization and Computer Graphics
سال: 2004
ISSN: 1077-2626
DOI: 10.1109/tvcg.2004.1272731