Profiles of interval bounds around the coordinates of antistigmatic powers |
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| Authors: | H Abelman S Abelman |
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| Affiliation: | 1. School of Computational and Applied Mathematics, University of the Witwatersrand , Private Bag 3, Wits 2050, Johannesburg, South Africa herven.abelman@wits.ac.za;3. School of Computational and Applied Mathematics, University of the Witwatersrand , Private Bag 3, Wits 2050, Johannesburg, South Africa |
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| Abstract: | A cylinder that supplements the best vision sphere power appropriately, may improve visual acuity, but this cylinder power can displace the circle of least confusion. A sphere of opposite sign and half the power of the cylinder lens moves the circle back. This added sphere combined with the cylinder is the power of a cross-cylinder lens which, when resolved into independent components called the orthogonal and the oblique antistigmatic components, contains unique, meaningful, calculation-friendly dioptric powers. We calibrate bounds around the antistigmatic coordinates with regular bounds estimated around pure cylinder refractions. The bounds that are then plotted are called profiles of power ranges. The purpose of this article is to determine whether profiles of bounds of the components of antistigmatic lenses, are well-behaved with good foundation with respect to all cylinder axes. Profiles convey the degree of confidence and are key indicators of the quality of the reported powers or calculation. |
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| Keywords: | pure cylinder refractions profile interval bounds antistigmatic coordinates power matrix discontinuity well-behaved |
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