Strip approximation with Bézier patches in conical form for design and manufacturing of developable materials
نویسندگان
چکیده
Strip approximation with Bézier patches in conical form for design and manufacturing of developable materials Chih-Hsing Chu a , Charlie C.L. Wang b & Chi-Rung Tsai a a Department of Industrial Engineering and Engineering Management , National Tsing Hua University , Hsinchu, Taiwan b Department of Mechanical and Automation Engineering , The Chinese University of Hong Kong , Shatin N.T., Hong Kong, People's Republic of China Published online: 23 Feb 2011.
منابع مشابه
Computer aided geometric design of strip using developable Bézier patches
Developable strip is commonly used in product design due to its ease of manufacture. This paper proposes an algorithm for geometric design of strip using developable Bézier patches. It computes an aggregate of triangular and quadrilateral patches interpolate two given space curves defining a strip. The computation process selects optimal solutions in terms of surface assessment criteria specifi...
متن کاملDevelopable Bézier patches: properties and design
Geometric design of quadratic and cubic developable Be Âzier patches from two boundary curves is studied in this paper. The conditions for developability are derived geometrically from the de Casteljau algorithm and expressed as a set of equations that must be ful®lled by the Be Âzier control points. This set of equations allows us to infer important properties of developable Be Âzier patches t...
متن کاملCharacterizing degrees of freedom for geometric design of developable composite Bézier surfaces
This paper studies geometric design of developable composite Bézier surfaces from two boundary curves. The number of degrees of freedom (DOF) is characterized for the surface design by deriving and counting the developability constraints imposed on the surface control points. With a first boundary curve freely chosen, ð2m þ 3Þ, ðm þ 4Þ, and five DOFs are available for a second boundary curve of...
متن کاملComputing exact rational offsets of quadratic triangular Bézier surface patches
The offset surfaces to non-developable quadratic triangular Bézier patches are rational surfaces. In this paper we give a direct proof of this result and formulate an algorithm for computing the parameterization of the offsets. Based on the observation that quadratic triangular patches are capable of producing C smooth surfaces, we use this algorithm to generate rational approximations to offse...
متن کاملNon-degenerate Developable Triangular Bézier Patches
In this talk we show a construction for characterising developable surfaces in the form of Bézier triangular patches. It is shown that constructions used for rectangular patches are not useful, since they provide degenerate triangular patches. Explicit constructions of nondegenerate developable triangular patches are provided.
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:
- Int. J. Computer Integrated Manufacturing
دوره 24 شماره
صفحات -
تاریخ انتشار 2011