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Se presenta a continuación un modelo matemático riguroso del ojo humano que permite modelar de la manera más precisa el comportamiento del sistema óptico para su uso práctico en oftalmología, optometría e ingeniería óptica. El modelo presentado se fundamenta en análisis físicos, matemáticos y estadísticos para obtener toda la información geométrica...
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Citations
... Currently there are no ophthalmic lenses with spherical or aspherical, mono or multifocal, parastigmatic bases. Therefore it is an object of the present description to provide a set of surfaces and lenses [9] that allows prescribing oblique "astigmatism" with two principal nonorthogonal meridians (thus increasing the accuracy of the ophthalmic industry to improve visual health) and that also creates a unique canonical surface, which can be useful for describing the anterior and posterior surfaces of human cornea, using a simple formula, instead of all the canonical models generally used in the production of glasses, contact lenses, intraocular lenses, and optical instruments as well as in refractive surgeries. To correct harmonic or parharmonic astigmatism or, alternatively, to partially correct the parharmonic parastigmatism (with nonorthogonal principal meridians), many manufacturers of ophthalmic lenses have designed bitoric lenses, i.e., single or lenticular lenses where both surfaces, anterior and the posterior, are toric or quasi-toric, i.e., spherocylindrical or aspherocylindrical. ...
... Following [9], we present the deductive process, which reproduces several lines of text in [9] with some adaptations, modifications and redefinitions: ...
... Following [9], we present the deductive process, which reproduces several lines of text in [9] with some adaptations, modifications and redefinitions: ...
Principal meridians of the corneal vertex of the human ocular system are not always orthogonal. To study these irregular surfaces at the vertex, which have principal meridians with an angle different from 90°, we attempt to define so-called parastigmatic surfaces; these surfaces allow us to correct several classes of irregular astigmatism, with nonorthogonal principal meridians, using a simple refractive surface. We will create a canonical surface to describe the surfaces of the human cornea with a short and simple formula, using two additional parameters to the current prescription: the angle between principal meridians and parharmonic variation of curvatures between them.
