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Freeform surface modelling is a technique for engineering freeform surfaces with a CAD or CAID system.. The technology has encompassed two main fields. Either creating aesthetic surfaces (class A surfaces) that also perform a function; for example, car bodies and consumer product outer forms, or technical surfaces for components such as gas turbine blades and other fluid dynamic engineering ...
Geometrical design (GD) is a branch of computational geometry. It deals with the construction and representation of free-form curves, surfaces, or volumes [1] and is closely related to geometric modeling. Core problems are curve and surface modelling and representation.
A lens with a different shape forms the answer to Mrs. Miniver's problem, on finding a lens with half the area of the union of the two circles. Lenses are used to define beta skeletons , geometric graphs defined on a set of points by connecting pairs of points by an edge whenever a lens determined by the two points is empty.
Euclid began his study of optics as he began his study of geometry, with a set of self-evident axioms. Lines (or visual rays) can be drawn in a straight line to the object. Those lines falling upon an object form a cone. Those things upon which the lines fall are seen. Those things seen under a larger angle appear larger.
A form is an artist's way of using elements of art, principles of design, and media. Form, as an element of art, is three-dimensional and encloses space. Like a shape, a form has length and width, but it also has depth. Forms are either geometric or free-form, and can be symmetrical or asymmetrical.
The lens focuses light in the same way as a conventional lens. Gradient-index (GRIN) optics is the branch of optics covering optical effects produced by a gradient of the refractive index of a material. Such gradual variation can be used to produce lenses with flat surfaces, or lenses that do not have the aberrations typical of traditional ...
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Precision glass moulding can be used to produce a large variety of optical form elements such as spheres, aspheres, free-form elements and array-structures. Concerning the curvature of the lens elements, the following statements can be drawn: Acceptable lens shapes are most bi-convex , plano-convex and mild meniscus shapes.