L-system Implementation of Multiresolution Curves Based on Cubic B-Spline Subdivision
نویسنده
چکیده
It has been previously shown that L-systems can be used to generate subdivision and reverse subdivision curves [Prusinkiewicz et al. 2003]. In this paper we show that L-systems can also be used to generate multiresolution curves. The L-system description captures the locality of the concept of multiresolution curves.
منابع مشابه
Multiresolution B-Splines Based On Wavelet Constraints
We present a novel method for determining local multiresolution filters for B-spline subdivision curves of any order. Our approach is based on constraining the wavelet coefficients such that the coefficients at even vertices can be computed from the coefficients of neighboring odd vertices. This constraint leads to an initial set of decomposition filters. To increase the quality of these initia...
متن کاملMultiresolution for curves and surfaces based on constraining wavelets
We present a novel method for determining local multiresolution filters for a broad range of subdivision schemes. Our approach is based on constraining the wavelet coefficients such that the coefficients at even vertices can be computed from the coefficients of neighboring odd vertices. This constraint leads to an initial set of decomposition filters. To increase the quality of these initial fi...
متن کاملProgressive Curve Representation Based on Reverse Subdivision
A progressive curve representation based on reverse subdivision is introduced. Multiresolution structures for common subdivision rules that have both banded reconstruction and decomposition filters are produced. Multiresolution filters are usually applied to the whole curve uniformly, while progressive curves are based on collapse and split operations that can be applied locally on any portion ...
متن کاملLocal B-Spline Multiresolution with Example in Iris Synthesis and Volumetric Rendering
Multiresolution has been extensively used in many areas of computer science, including biometrics. We introduce local multiresolution filters for quadratic and cubic B-splines that satisfy the first and the second level of smoothness respectively. For constructing these filters, we use a reverse subdivision method. We also show how to use and extend these filters for tensor-product surfaces, an...
متن کاملA Generalized Scheme for the Interpolation of Arbitrarily Intersecting Curves by Catmull-Clark Subdivision Surfaces
This paper presents a scheme for interpolating intersecting uniform cubic B-spline curves by Catmull-Clark subdivision surfaces. The curves are represented by polygonal complexes and the neighborhoods of intersection points are modeled by X-Configurations. When these structures are embedded within a control polyhedron, the corresponding curves will automatically be interpolated by the surface l...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004