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What is NURBS

Handbook of Research on Visual Computing and Emerging Geometrical Design Tools
Are a mathematical representation commonly used in computer graphics for generating and representing curves, surfaces, free form surfaces and solids. In this case numerical codes are structured and arranged to describe geometric shapes, dimensions to associate with these forms or qualitative information that is useful to their representation.
Published in Chapter:
Investigating Baroque Creativity of Minor Examples in Southern Sicily: From Digital Survey to Geometric Interpretation
Mariateresa Galizia (Università degli Studi di Catania, Italy), Cettina Santagati (Università degli Studi di Catania, Italy), and Nuccio Delfo Giuffrida (Università degli Studi di Catania, Italy)
DOI: 10.4018/978-1-5225-0029-2.ch009
Abstract
This study takes advantage of digital surveying to investigate in reverse the complexity and creativity of architectural composition in religious Baroque buildings while studying a so-called minor architecture, the church of Santa Maria dell'Odigitria in Acireale (CT), whose interior is modeled with geometric rigor, through a design process that is based on the use of simple geometric figures but articulated differently, such as to structure a complex structural and proportional order. The three-dimensional space of a computer instead becomes the core of the unveiling process, the place where the scholar has the opportunity to interact and communicate with millions of points gained, to reason on the geometric and spatial qualities of the object; where the geometric intuition about the genesis of the shape can be verified in real time through a simple query / overlap, in which one can move from measurement to representation, from the spatiality of the real to its discretization and viceversa.
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More Results
The Surveying and Representation Process Applied to Architecture: Non-Contact Methods for the Documentation of Cultural Heritage
Non Uniform Rational B-Splines, an algorithmic method for the construction of curved surfaces and free-forms. A particular type of surface spline for making curved surface patches in modeling complex shapes. These types of splines are supported by many computer aided design (CAD) systems used for modelling.
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Folds and Refolds: Space Generation, Shapes, and Complex Components
Acronym for Non-Uniform Rational B-Splines. While it is generally considered to have been developed to build digital versions of the design lines used to draw the sections of the hulls of ships and aircraft bodies, it is in the fifties and in the automotive industry where it appeared the need curves represent free paths (those that do not respond to simple geometric shapes such as circle and ellipse arc). Two engineers from the automotive industry (P. de Casteljau and Bezier P.) developed independently and almost parallel the principles of what is now known generically as the spline curves. These mathematical structures allow numerically describe a curve whose geometric layout free translation enables control curve graphically in all instances. To operate, control and design algorithms that overcome the complexity of traditional equations and do it only from the “graphic” and intuitive handling of geometry (ignoring the tedious own geometric-mathematical structures that support abstractions) is a of the most important to the different design disciplines that operate on the space and complex geometries contributions.
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Visualization and Minima Finding of Multidimensional Hypersurface
Non-Uniform Rational B-Splines. It is a mathematical model commonly used in computer graphics for generating and representing curves and surfaces.
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Geometrical Characterization of a Rototraslative Generative Tower: The Turning Torso Case Study
Short for Non-uniform rational B-spline. Digital method for generation and representation of curves and surface based on mathematical model shape.
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Morphogenetic Paths between Geometrical Traces and Fabrication Issues: Geometrical Analysis and Digital Form Studies
Short for Non-uniform rational B-spline. Digital method for generation and representation of curves and surface based on mathematical model shape.
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