Ruled Surfaces for Rationalization and Design in Architecture
نویسنده
چکیده
In this work we address the challenges in the realization of free-form architecture and complex shapes in general with the technical advantages of ruled surfaces. We propose a geometry processing framework to approximate (rationalize) a given shape by one or multiple strips of ruled surfaces. We discuss techniques to achieve an overall smooth surface and develop a parametric model for the generation of curvature continuous surfaces composed of ruled surface strips. We illustrate the usability of the proposed process at hand of several projects, where the pipeline has been applied to compute NC data for mould production and to rationalize large parts of free-form facades.
منابع مشابه
Characterizations of Slant Ruled Surfaces in the Euclidean 3-space
In this study, we give the relationships between the conical curvatures of ruled surfaces generated by the unit vectors of the ruling, central normal and central tangent of a ruled surface in the Euclidean 3-space E^3. We obtain differential equations characterizing slant ruled surfaces and if the reference ruled surface is a slant ruled surface, we give the conditions for the surfaces generate...
متن کاملArchitecture Rationalization: From Real-World Challenges to a Methodological Solution
Architecture modeling is practiced extensively in the software industry but there is little attention paid to the traceability, verifiability and completeness of architecture designs. Deficiencies in any of these three areas in an architecture model can be costly and risky to projects. The case study reported here failed because it was deficient in all areas. We study and propose the Architectu...
متن کاملEarly Islamic Architecture and Structural Configurations
Islam spread rapidly after its founding, encompassing much of North Africa, the Middle East, and Southeast Asia. The art of this vast region draws its distinctive character both from Islam itself and from the diverse cultural traditions of the world’s Muslims. Because Islam discouraged the use of figurative images, particularly in religious contexts- unlike Christian art- Islamic artists develo...
متن کاملL_1 operator and Gauss map of quadric surfaces
The quadrics are all surfaces that can be expressed as a second degree polynomialin x, y and z. We study the Gauss map G of quadric surfaces in the 3-dimensional Euclidean space R^3 with respect to the so called L_1 operator ( Cheng-Yau operator □) acting on the smooth functions defined on the surfaces. For any smooth functions f defined on the surfaces, L_f=tr(P_1o hessf), where P_1 is t...
متن کاملConchoid surfaces of rational ruled surfaces
The conchoid surface G of a given surface F with respect to a point O is roughly speaking the surface obtained by increasing the radius function of F with respect to O by a constant d. This paper studies real rational ruled surfaces in this context and proves that their conchoid surfaces possess real rational parameterizations, independently on the position of O. Thus any rational ruled surface...
متن کامل