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  2. Curved mirror - Wikipedia

    en.wikipedia.org/wiki/Curved_mirror

    A curved mirror is a mirror with a curved reflecting surface. The surface may be either convex (bulging outward) or concave (recessed inward). Most curved mirrors have surfaces that are shaped like part of a sphere, but other shapes are sometimes used in optical devices. The most common non-spherical type are parabolic reflectors, found in ...

  3. Virtual image - Wikipedia

    en.wikipedia.org/wiki/Virtual_image

    The magnification of the virtual image formed by the plane mirror is 1. Top: The formation of a virtual image using a diverging lens. Bottom: The formation of a virtual image using a convex mirror. In both diagrams, f is the focal point, O is the object, and I is the virtual image, shown in grey. Solid blue lines indicate (real) light rays and ...

  4. Reflecting telescope - Wikipedia

    en.wikipedia.org/wiki/Reflecting_telescope

    A convex secondary mirror is placed just to the side of the light entering the telescope, and positioned afocally so as to send parallel light on to the tertiary. The concave tertiary mirror is positioned exactly twice as far to the side of the entering beam as was the convex secondary, and its own radius of curvature distant from the secondary.

  5. Cassegrain reflector - Wikipedia

    en.wikipedia.org/wiki/Cassegrain_reflector

    The Cassegrain reflector is a combination of a primary concave mirror and a secondary convex mirror, often used in optical telescopes and radio antennas, the main characteristic being that the optical path folds back onto itself, relative to the optical system's primary mirror entrance aperture. This design puts the focal point at a convenient ...

  6. Convex optimization - Wikipedia

    en.wikipedia.org/wiki/Convex_optimization

    Convex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets (or, equivalently, maximizing concave functions over convex sets). Many classes of convex optimization problems admit polynomial-time algorithms, [1] whereas mathematical optimization is in general NP-hard. [2 ...

  7. Hockney–Falco thesis - Wikipedia

    en.wikipedia.org/wiki/Hockney–Falco_thesis

    The Hockney–Falco thesis is a controversial theory of art history, proposed by artist David Hockney in 1999 and further advanced with physicist Charles M. Falco since 2000 (together as well as individually). They argued that advances in naturalism and accuracy in the history of Western art since the early Renaissance (circa 1420/1430) were ...

  8. Hyperplane separation theorem - Wikipedia

    en.wikipedia.org/wiki/Hyperplane_separation_theorem

    In geometry, the hyperplane separation theorem is a theorem about disjoint convex sets in n-dimensional Euclidean space.There are several rather similar versions. In one version of the theorem, if both these sets are closed and at least one of them is compact, then there is a hyperplane in between them and even two parallel hyperplanes in between them separated by a gap.

  9. Chambolle-Pock algorithm - Wikipedia

    en.wikipedia.org/wiki/Chambolle-Pock_algorithm

    The Chambolle-Pock algorithm is specifically designed to efficiently solve convex optimization problems that involve the minimization of a non-smooth cost function composed of a data fidelity term and a regularization term. [ 1] This is a typical configuration that commonly arises in ill-posed imaging inverse problems such as image ...