- 1.ALTSCHULER, M., ALTSCHULER, B., AND TABOADA, J. Laser electrooptic system for rapid three-dimensional (3-D) topographic mapping of surfaces. Optical Engineering 20, 6 (1981), 953-961.Google ScholarCross Ref
- 2.BARSKY, B. A., MANDELL, R. B., AND KLEIN, S. A. Corneal shape illusion in keratoconus. Invest Opthalmol Vis Sci 36 Suppl.:5308 (1995).Google Scholar
- 3.BARTELS, R. H., BEATTY, J. C., AND BARSKY, B. A. An Introduction to @lines for Use in Computer Graphics and Geometric Modeling. Morgan Kaufmann, 1987. Google ScholarDigital Library
- 4.BELIN, M. W., LITOFF, D., AND STRODS, S. J. The PAR technology corneal topography system. Refract Corneal Surg 8 (1992), 88- 96.Google ScholarCross Ref
- 5.BLAKE, A., AND ZISSERMAN, A. Visual Reconstruction. MIT Press, 1987. Google ScholarDigital Library
- 6.BOLLE, R., AND VEMURI, B. On three-dimensional surface reconstruction methods. IEEE Trans. PAMI 11, 8, 840-858.Google Scholar
- 7.BRINKLEY, J. Knowledge-driven ultrasonic three-dimensional organ modeling. IEEE Trans. PAMI 7, 4, 431-441. Google ScholarDigital Library
- 8.CHENG, F., AND BARSKY, B. A. Interproximation: Interpolation and approximation using cubic spline curves. Computer-Aided Design 23, 10 (1991), 700-706.Google ScholarCross Ref
- 9.COHEN, E., LYCHE, T., AND RIESENFELD, R. Discrete B-splines and subdivision techniques in computer aided geometric design and computer graphics. Computer Graphics and Image Processing 14 (1980), 87-111.Google ScholarCross Ref
- 10.Doss, J. D., HUTSON, R. L., ROWSEY, J. J., AND BROWN, D. R. Method for calculation of corneal profile and power distribution. Arch Ophthalmol 99 (1981), 1261-5.Google ScholarCross Ref
- 11.FAVARDIN, C. Determination automatique de structures geometriques destinees a la reconstruction de courbes et de surfaces a partir de donnees ponctuelles. PhD thesis, Universite Paul Sabatier, Toulouse, France, 1993.Google Scholar
- 12.GOSHTASBY, A. Surface reconstruction from scattered measuremeAts. SPIN 1830 (1992), 247-256.Google Scholar
- 13.HOPPE, H., DEROSE, T., DUCHAMP, T., HALSTEAD, M., JIN, H., MCDONALD, J., SCHWEITZER, J., AND W., S. Piecewise smooth surface reconstruction. Computer Graphics (SIGGRAPH '94 Proceedings) (July 1994), 295-302. Google ScholarDigital Library
- 14.JARVIS. A perspective on range finding techniques for computer vision. IEEE Trans. PAMI 5, 2 (1983), 122-139.Google Scholar
- 15.KLYCE, S.D. Computer-assisted corneal topography, highresolution graphic presentation and analysis of keratoscopy. Invest Ophthalmol Vis Sci 25 (1984), 1426-35.Google Scholar
- 16.KOCH, D. D., FOULKS, G. N., AND MORAN, T. The corneal eyesys system: accuracy, analysis and reproducibility of first generation prototype. Refract Corneal Surg 5 (1989), 424-9.Google ScholarCross Ref
- 17.KRACHMER, J. H., FEDER, R. S., AND BELIN, M. W. Keratoconus and related noninflammatory corneal thinning disorders. Surv. Ophthalmol 28, 4 (1984), 293-322.Google ScholarCross Ref
- 18.MAGUIRE, L. J., AND BOURNE, W. D. Corneal topography of early keratoconus. Am J Ophthalmol 108 (1989), 107-12.Google ScholarCross Ref
- 19.MAMMONE, R. J., GERSTEN, M., GORMLEY, D. J., KOPLIN, R. S., AND LUBKIN, V. L. 3-D corneal modeling system. IEEE Trans Biomedical Eng 37 (1990), 66-73.Google ScholarCross Ref
- 20.MOORE, D., AND WARREN, J. Approximation of dense scattered data using algebraic surfaces. Tech. rep., TR 90-135, Rice University, 1990.Google Scholar
- 21.PRATT, V. Direct least-squares fitting of algebraic surfaces. SIC- GRAPH '87 Conference Proceedings (1987), 145-152. Google ScholarDigital Library
- 22.SATO, Y., KITAGAWA, H., AND FUJITA, H. Shape measurement of curved objects using multiple slit-ray projections. IEEE Trans. PAMI g, 6 (1982), 641-649.Google ScholarDigital Library
- 23.SCHMITT, F., BARSKY, B. n., AND DU, W.-H. An adaptive subdivision method for surface fitting from sampled data. SIGGRAPH '86 Conference Proceedings (1986), 179-188. Google ScholarDigital Library
- 24.TAUBIN, G. An improved algorithm for algebraic curve and surface fitting. In Proc. gth International Conf. on Comp. Vision, Berlin (1993), pp. 658-665.Google ScholarCross Ref
- 25.TERZOPOLOUS, D. Regularization of inverse visual problems involving discontinuities. IEEE Trans. PAMI 8 (1986), 413-424. Google ScholarDigital Library
- 26.TOPA, L., AND SCHALKOFF, R. An analytical approach to the determination of planar surface orientation using active-passive image pairs. Computer Vision, Graphics, and Image Processing 35 (1994), 404-418. Google ScholarDigital Library
- 27.TURK, G., AND LEVOY, M. Zippered polygon meshes from range images. Computer Graphics (SIGGRAPH '9g Proceedings) (1994), 311-318. Google ScholarDigital Library
- 28.VaN SaaRLOOS, P. P., aND CONSTABLE, I. Improved method for calculation of corneal topography for any photokeratoscope geometry. Optom Vis Sci 68 (1991), 960-6.Google ScholarCross Ref
- 29.WANG, J., RICE, D. A., AND KLYCE, S. D. A new reconstruction algorithm for improvement of corneal topographical analysis. Refract. Corneal Surg 5 (1989), 379-387.Google ScholarCross Ref
- 30.WARNICKI, J. W., REHKOPF, P. G., AND CURTIN, S. n. Corneal topography using computer analyzed rasterographic images. Am. J. Opt 27 (1988), 1125-1140.Google Scholar
- 31.WILSON, S. E., AND KLYCE, S. D. Advances in the analysis of corneal topography. Surv. Ophthalmol. 35 (1991), 269-277.Google ScholarCross Ref
Index Terms
- Reconstructing curved surfaces from specular reflection patterns using spline surface fitting of normals
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