Representation of the Matrix for Conversion between Triangular Bezier Patches and Rectangular Bezier Patches

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Conversion between triangular and rectangular Bézier patches

This paper presents an explicit formula that converts a triangular Bézier patch of degree n to a degenerate rectangular Bézier patch of degree n× n by reparametrization. Based on this formula, we develop a method for approximating a degenerate rectangular Bézier patch by three nondegenerate Bézier patches; more patches can be introduced by subdivision to meet a user-specified error tolerance. ...

متن کامل

Triangular Bezier surfaces

We study Bezier surfaces defined over triangular domains. We have seen how spaces of bivariate polynomials can be constructed as tensor-products of the univariate ones. An alternative choice of polynomial space is, for each n ≥ 0, the space of polynomials of the form p(x, y) = 0≤i+j≤n a i,j x i y j , where we understand that i ≥ 0 and j ≥ 0 in the summation. As in the univariate case, we denote...

متن کامل

Simple Methods For Drawing Rational Surfaces as Four or Six Bezier Patches

In this paper, we give several simple methods for drawing a whole rational surface (without base points) as several Bézier patches. The first two methods apply to surfaces specified by triangular control nets and partition the real projective plane RP into four and six triangles respectively. The third method applies to surfaces specified by rectangular control nets and partitions the torus RP ...

متن کامل

4th Order Diffusion Tensor Interpolation with Divergence and Curl Constrained Bezier Patches

We present a tensor field interpolation method based on tensor-valued Bézier patches. The control points of the patch are determined by imposing physical constraints on the interpolated field by constraining the divergence and curl of the tensor field. The method generalizes to Cartesian tensors of all orders. Solving for the control points requires the solution of a sparse linear system. Resul...

متن کامل

Raytracing Triangular Bézier Patches

We present a new approach to finding ray–patch intersections with triangular Bernstein–Bézier patches of arbitrary degree. This paper extends and complements on the short presentation 17. Unlike a previous approach which was based on a combination of hierarchical subdivision and a Newton–like iteration scheme 21, this work adapts the concept of Bézier clipping to the triangular domain. The prob...

متن کامل

ذخیره 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: ITM Web of Conferences

سال: 2018

ISSN: 2271-2097

DOI: 10.1051/itmconf/20182201020