A bound on the approximation of a Catmull-Clark subdivision surface by its limit mesh
نویسندگان
چکیده
Article history: Received 20 August 2007 Received in revised form 29 April 2008 Accepted 6 May 2008 Available online 9 June 2008
منابع مشابه
Adaptive Rendering of Catmull-Clark Subdivision Surfaces based on Inscribed Approximation
Subdivision provides a powerful scheme for building smooth and complex surfaces. But the number of faces in the uniformly refined meshes increases exponentially with respect to subdivision depth. Adaptive rendering reduces the number of faces needed to yield a smooth approximation to the limit surface and, consequently, makes the rendering process more efficient. In this paper, we present a new...
متن کاملInscribed Approximation based Adaptive Tessellation of Catmull-Clark Subdivision Surfaces
Catmull-Clark subdivision scheme provides a powerful method for building smooth and complex surfaces. But the number of faces in the uniformly refined meshes increases exponentially with respect to subdivision depth. Adaptive tessellation reduces the number of faces needed to yield a smooth approximation to the limit surface and, consequently, makes the rendering process more efficient. In this...
متن کاملConversion 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 کاملHardware Subdivision and Tessellation of Catmull-Clark Surfaces
We present a table driven approach to performing Catmull-Clark subdivision in parallel utilizing one thread per output mesh vertex. We apply the procedure one or two times in order to isolate extraordinary vertices and simplify the input patch structures consumed by the hardware unit responsible for adaptive tessellation. From this simplified mesh, we evaluate the performance Stam’s direct eval...
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 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 25 شماره
صفحات -
تاریخ انتشار 2008