Wikipedia
according Hamza, U. M (2016) 'Geometric design (GD)', also known as geometric modelling, is a branch of computational geometry. It deals with the construction and representation of free-form curves, surfaces, or volumes. Core problems are curve and surface modelling and representation. GD studies especially the construction and manipulation of curves and surfaces given by a set of points using polynomial, rational, piecewise polynomial, or piecewise rational methods. The most important instruments here are parametric curves and parametric surfaces, such as Bézier curves, spline curves and surfaces. An important non-parametric approach is the level set method.
Application areas include shipbuilding, aircraft, and automotive industries, as well as architectural design. The modern ubiquity and power of computers means that even perfume bottles and shampoo dispensers are designed using techniques unheard of by shipbuilders of 1960s.
Geometric models can be built for objects of any dimension in any geometric space. Both 2D and 3D geometric models are extensively used in computer graphics. 2D models are important in computer typography and technical drawing. 3D models are central to computer-aided design and manufacturing, and many applied technical fields such as geology and medical image processing.
Geometric models are usually distinguished from procedural and object-oriented models, which define the shape implicitly by an algorithm. They are also contrasted with digital images and volumetric models; and with implicit mathematical models such as the zero set of an arbitrary polynomial. However, the distinction is often blurred: for instance, geometric shapes can be represented by objects; a digital image can be interpreted as a collection of colored squares; and geometric shapes such as circles are defined by implicit mathematical equations. Also, the modeling of fractal objects often requires a combination of geometric and procedural techniques.
Geometric problems originating in architecture can lead to interesting research and results in geometry processing, computer-aided geometric design, and discrete differential geometry.
Usage examples of "geometric design".
In addition, the geometric design and orientation of the ancient structure had been calibrated with Swiss-watch precision to achieve an objective as dramatic as it was esoteric: on the spring and autumn equinoxes, regular as clockwork, triangular patterns of light and shadow combined to create the illusion of a giant serpent undulating on the northern staircase.
The whole object was decorated with rows of chevrons and parallel lines in a fascinating geometric design, which was pleasing to look at by itself, but suggested more.
To the right was a geometric design, to the left a representation of the Pit of Chaos.
In the third chamber, the body of a male ifrit lay sprawled across a rug with a geometric design Alucius did not recognize, woven in brilliant crimson and shades of silvered gray.
Unless obscured by vines or effaced by time, any adornment seemed altogether absent from the dome itself, although the other examples of Krelran architecture showed bizarre patterns of geometric design etched into their stonework.
He was still busily engaged in turning even more distant black spots white when he remembered the geometric design that had led him to the lake and the statue, and to- Merlica.
Around him was a matrix of the gray cubes arranged in painfully perfect geometric design, all joined by gleaming metal tubes.
Small dark Oriental rugs of geometric design were everywhere, and the many ornaments gracing glass tables and inlaid teak cabinets were almost exclusively Chinese.
A container wrought of ancient silver in a geometric design sat atop the low table.
The walls were sheathed in a geometric design of polychrome marble.
The floor was covered with a colorful rug bearing an intricate geometric design.
The expansive lobby area was elegantly spare, with water-toned tile floors, modest indoor shrubbery, and a discreet security panel worked into an arty geometric design in the wall.