Y. Luo, Z. X. Feng, Y. J. Han, and H. T. Li, “Design of compact and smooth freeform optical system with uniform illuminance for LED source,” Opt. Express 18, 9055–9063 (2010).

[CrossRef]
[PubMed]

F. Chen, K. Wang, Z. Qin, D. Wu, X. B. Luo, and S. Liu, “Design method of high-efficient LED headlamp lens,” Opt. Express 18, 20926–20938 (2010).

[CrossRef]
[PubMed]

Z. X. Feng, Y. Luo, and Y. J. Han, “Design of LED freeform optical system for road lighting with high luminance/illuminance ratio,” Opt. Express 18, 22020–22031 (2010).

[CrossRef]
[PubMed]

W. Z. Zhang, Q. X. Liu, H. F. Gao, and F. H. Yu, “Free-form reflector optimization for general lighting,” Opt. Eng. 49, 063003 (2010).

[CrossRef]

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

[CrossRef]

F. Muñoz, P. Benítez, O. Dross, J. C. Miñano, and B. Paikyn, “Simultaneous multiple surface design of compact air-gap collimators for light-emitting diodes,” Opt. Eng. 43, 1522–1530(2004).

[CrossRef]

O. Dross, R. Mohedano, P. Benítez, J. C. Miñano, J. Chaves, J. Blen, M. Hernández, and F. Muñoz, “Review of SMS design methods and real world applications,” Proc. SPIE 5529, 35–47(2004).

[CrossRef]

T. L. R. Davenport, T. A. Hougha, and W. J. Cassarlya, “Optimization for illumination systems: the next level of design,” Proc. SPIE 5456, 81–90 (2004).

[CrossRef]

J. Bortz, N. Shatz, and M. Keuper, “Optimal design of a nonimaging TIR doublet lens for an illumination system using an LED source,” Proc. SPIE 5529, 8–16 (2004).

[CrossRef]

W. Böhm, G. Farin, and J. Kahmann, “A survey of curve and surface methods in CAGD,” Comp. Aided Geom. Des. 1, 1–60(1984).

[CrossRef]

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

[CrossRef]

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

[CrossRef]

O. Dross, R. Mohedano, P. Benítez, J. C. Miñano, J. Chaves, J. Blen, M. Hernández, and F. Muñoz, “Review of SMS design methods and real world applications,” Proc. SPIE 5529, 35–47(2004).

[CrossRef]

F. Muñoz, P. Benítez, O. Dross, J. C. Miñano, and B. Paikyn, “Simultaneous multiple surface design of compact air-gap collimators for light-emitting diodes,” Opt. Eng. 43, 1522–1530(2004).

[CrossRef]

O. Dross, R. Mohedano, P. Benítez, J. C. Miñano, J. Chaves, J. Blen, M. Hernández, and F. Muñoz, “Review of SMS design methods and real world applications,” Proc. SPIE 5529, 35–47(2004).

[CrossRef]

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

[CrossRef]

W. Böhm, G. Farin, and J. Kahmann, “A survey of curve and surface methods in CAGD,” Comp. Aided Geom. Des. 1, 1–60(1984).

[CrossRef]

J. Bortz, N. Shatz, and M. Keuper, “Optimal design of a nonimaging TIR doublet lens for an illumination system using an LED source,” Proc. SPIE 5529, 8–16 (2004).

[CrossRef]

W. J. Cassarly and M. J. Hayford, “Illumination optimization: the revolution has begun,” Proc. SPIE 4832, 258–269 (2002).

[CrossRef]

T. L. R. Davenport, T. A. Hougha, and W. J. Cassarlya, “Optimization for illumination systems: the next level of design,” Proc. SPIE 5456, 81–90 (2004).

[CrossRef]

A. Cvetkovic, O. Dross, J. Chaves, P. Benitez, J. C. Miñano, and R. Mohedano, “Etendue-preserving mixing and projection optics for high-luminance LEDs, applied to automotive headlamps,” Opt. Express 14, 13014–13020 (2006).

[CrossRef]
[PubMed]

O. Dross, R. Mohedano, P. Benítez, J. C. Miñano, J. Chaves, J. Blen, M. Hernández, and F. Muñoz, “Review of SMS design methods and real world applications,” Proc. SPIE 5529, 35–47(2004).

[CrossRef]

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

[CrossRef]

J. S. Chitode, Numerical Methods (Technical Publications Pune, 2010).

T. L. R. Davenport, T. A. Hougha, and W. J. Cassarlya, “Optimization for illumination systems: the next level of design,” Proc. SPIE 5456, 81–90 (2004).

[CrossRef]

T. R. Davenport, “3D NURBS representation of surfaces for illumination,” Proc. SPIE 4832, 293–301 (2002).

[CrossRef]

Y. Gardan and P. de Casteljau, Shape Mathematics and CAD (Kogan Page, 1986).

A. Cvetkovic, O. Dross, J. Chaves, P. Benitez, J. C. Miñano, and R. Mohedano, “Etendue-preserving mixing and projection optics for high-luminance LEDs, applied to automotive headlamps,” Opt. Express 14, 13014–13020 (2006).

[CrossRef]
[PubMed]

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

[CrossRef]

O. Dross, R. Mohedano, P. Benítez, J. C. Miñano, J. Chaves, J. Blen, M. Hernández, and F. Muñoz, “Review of SMS design methods and real world applications,” Proc. SPIE 5529, 35–47(2004).

[CrossRef]

F. Muñoz, P. Benítez, O. Dross, J. C. Miñano, and B. Paikyn, “Simultaneous multiple surface design of compact air-gap collimators for light-emitting diodes,” Opt. Eng. 43, 1522–1530(2004).

[CrossRef]

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

[CrossRef]

W. Böhm, G. Farin, and J. Kahmann, “A survey of curve and surface methods in CAGD,” Comp. Aided Geom. Des. 1, 1–60(1984).

[CrossRef]

Z. X. Feng, Y. Luo, and Y. J. Han, “Design of LED freeform optical system for road lighting with high luminance/illuminance ratio,” Opt. Express 18, 22020–22031 (2010).

[CrossRef]
[PubMed]

Y. Luo, Z. X. Feng, Y. J. Han, and H. T. Li, “Design of compact and smooth freeform optical system with uniform illuminance for LED source,” Opt. Express 18, 9055–9063 (2010).

[CrossRef]
[PubMed]

W. Z. Zhang, Q. X. Liu, H. F. Gao, and F. H. Yu, “Free-form reflector optimization for general lighting,” Opt. Eng. 49, 063003 (2010).

[CrossRef]

M. G. Turner and K. J. Garcia, “Optimization using rational Bézier control points and weighting factors,” Proc. SPIE 7061, 70610H (2008).

[CrossRef]

Y. Gardan and P. de Casteljau, Shape Mathematics and CAD (Kogan Page, 1986).

Z. X. Feng, Y. Luo, and Y. J. Han, “Design of LED freeform optical system for road lighting with high luminance/illuminance ratio,” Opt. Express 18, 22020–22031 (2010).

[CrossRef]
[PubMed]

Y. Luo, Z. X. Feng, Y. J. Han, and H. T. Li, “Design of compact and smooth freeform optical system with uniform illuminance for LED source,” Opt. Express 18, 9055–9063 (2010).

[CrossRef]
[PubMed]

W. J. Cassarly and M. J. Hayford, “Illumination optimization: the revolution has begun,” Proc. SPIE 4832, 258–269 (2002).

[CrossRef]

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

[CrossRef]

O. Dross, R. Mohedano, P. Benítez, J. C. Miñano, J. Chaves, J. Blen, M. Hernández, and F. Muñoz, “Review of SMS design methods and real world applications,” Proc. SPIE 5529, 35–47(2004).

[CrossRef]

T. L. R. Davenport, T. A. Hougha, and W. J. Cassarlya, “Optimization for illumination systems: the next level of design,” Proc. SPIE 5456, 81–90 (2004).

[CrossRef]

W. Böhm, G. Farin, and J. Kahmann, “A survey of curve and surface methods in CAGD,” Comp. Aided Geom. Des. 1, 1–60(1984).

[CrossRef]

J. Bortz, N. Shatz, and M. Keuper, “Optimal design of a nonimaging TIR doublet lens for an illumination system using an LED source,” Proc. SPIE 5529, 8–16 (2004).

[CrossRef]

W. Z. Zhang, Q. X. Liu, H. F. Gao, and F. H. Yu, “Free-form reflector optimization for general lighting,” Opt. Eng. 49, 063003 (2010).

[CrossRef]

R. M. Wu, H. F. Li, Z. R. Zheng, and X. Liu, “Freeform lens arrays for off-axis illumination in optical lithography system,” Appl. Opt. 50, 725–732 (2011).

[CrossRef]
[PubMed]

Z. R. Zheng, X. Hao, and X. Liu, “Freeform surface lens for LED uniform illumination,” Appl. Opt. 48, 6627–6634 (2009).

[CrossRef]

Y. Ding, X. Liu, Z. R. Zheng, and P. F. Gu, “Freeform LED lens for uniform illumination,” Opt. Express 16, 12958–12966 (2008).

[CrossRef]
[PubMed]

Z. X. Feng, Y. Luo, and Y. J. Han, “Design of LED freeform optical system for road lighting with high luminance/illuminance ratio,” Opt. Express 18, 22020–22031 (2010).

[CrossRef]
[PubMed]

Y. Luo, Z. X. Feng, Y. J. Han, and H. T. Li, “Design of compact and smooth freeform optical system with uniform illuminance for LED source,” Opt. Express 18, 9055–9063 (2010).

[CrossRef]
[PubMed]

A. Cvetkovic, O. Dross, J. Chaves, P. Benitez, J. C. Miñano, and R. Mohedano, “Etendue-preserving mixing and projection optics for high-luminance LEDs, applied to automotive headlamps,” Opt. Express 14, 13014–13020 (2006).

[CrossRef]
[PubMed]

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

[CrossRef]

O. Dross, R. Mohedano, P. Benítez, J. C. Miñano, J. Chaves, J. Blen, M. Hernández, and F. Muñoz, “Review of SMS design methods and real world applications,” Proc. SPIE 5529, 35–47(2004).

[CrossRef]

F. Muñoz, P. Benítez, O. Dross, J. C. Miñano, and B. Paikyn, “Simultaneous multiple surface design of compact air-gap collimators for light-emitting diodes,” Opt. Eng. 43, 1522–1530(2004).

[CrossRef]

A. Cvetkovic, O. Dross, J. Chaves, P. Benitez, J. C. Miñano, and R. Mohedano, “Etendue-preserving mixing and projection optics for high-luminance LEDs, applied to automotive headlamps,” Opt. Express 14, 13014–13020 (2006).

[CrossRef]
[PubMed]

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

[CrossRef]

O. Dross, R. Mohedano, P. Benítez, J. C. Miñano, J. Chaves, J. Blen, M. Hernández, and F. Muñoz, “Review of SMS design methods and real world applications,” Proc. SPIE 5529, 35–47(2004).

[CrossRef]

O. Dross, R. Mohedano, P. Benítez, J. C. Miñano, J. Chaves, J. Blen, M. Hernández, and F. Muñoz, “Review of SMS design methods and real world applications,” Proc. SPIE 5529, 35–47(2004).

[CrossRef]

F. Muñoz, P. Benítez, O. Dross, J. C. Miñano, and B. Paikyn, “Simultaneous multiple surface design of compact air-gap collimators for light-emitting diodes,” Opt. Eng. 43, 1522–1530(2004).

[CrossRef]

F. Muñoz, P. Benítez, O. Dross, J. C. Miñano, and B. Paikyn, “Simultaneous multiple surface design of compact air-gap collimators for light-emitting diodes,” Opt. Eng. 43, 1522–1530(2004).

[CrossRef]

L. Piegl and W. Tiller, The Nurbs Books, 2nd ed. (Springer-Verlag, 1997).

[CrossRef]

J. Bortz, N. Shatz, and M. Keuper, “Optimal design of a nonimaging TIR doublet lens for an illumination system using an LED source,” Proc. SPIE 5529, 8–16 (2004).

[CrossRef]

L. Piegl and W. Tiller, The Nurbs Books, 2nd ed. (Springer-Verlag, 1997).

[CrossRef]

M. G. Turner and K. J. Garcia, “Optimization using rational Bézier control points and weighting factors,” Proc. SPIE 7061, 70610H (2008).

[CrossRef]

W. Z. Zhang, Q. X. Liu, H. F. Gao, and F. H. Yu, “Free-form reflector optimization for general lighting,” Opt. Eng. 49, 063003 (2010).

[CrossRef]

W. Z. Zhang, Q. X. Liu, H. F. Gao, and F. H. Yu, “Free-form reflector optimization for general lighting,” Opt. Eng. 49, 063003 (2010).

[CrossRef]

R. M. Wu, H. F. Li, Z. R. Zheng, and X. Liu, “Freeform lens arrays for off-axis illumination in optical lithography system,” Appl. Opt. 50, 725–732 (2011).

[CrossRef]
[PubMed]

Z. R. Zheng, X. Hao, and X. Liu, “Freeform surface lens for LED uniform illumination,” Appl. Opt. 48, 6627–6634 (2009).

[CrossRef]

Y. Ding, X. Liu, Z. R. Zheng, and P. F. Gu, “Freeform LED lens for uniform illumination,” Opt. Express 16, 12958–12966 (2008).

[CrossRef]
[PubMed]

A. Rabl and J. M. Gordon, “Reflector design for illumination with extended sources: the basic solutions,” Appl. Opt. 33, 6012–6021 (1994).

[CrossRef]
[PubMed]

P. T. Ong, J. M. Gordon, and A. Rabl, “Tailoring lighting reflectors to prescribed illuminance distributions: compact partial-involute designs,” Appl. Opt. 34, 7877–7887 (1995).

[CrossRef]
[PubMed]

W. Tai and R. Schwarte, “Design of an aspherical lens to generate a homogenous irradiance for three-dimensional sensors with a light-emitting diode source,” Appl. Opt. 39, 5801–5805 (2000).

[CrossRef]

Z. R. Zheng, X. Hao, and X. Liu, “Freeform surface lens for LED uniform illumination,” Appl. Opt. 48, 6627–6634 (2009).

[CrossRef]

R. M. Wu, H. F. Li, Z. R. Zheng, and X. Liu, “Freeform lens arrays for off-axis illumination in optical lithography system,” Appl. Opt. 50, 725–732 (2011).

[CrossRef]
[PubMed]

W. Böhm, G. Farin, and J. Kahmann, “A survey of curve and surface methods in CAGD,” Comp. Aided Geom. Des. 1, 1–60(1984).

[CrossRef]

H. R. Ries and R. Winston, “Tailored edge-ray reflectors for illumination,” J. Opt. Soc. Am. A 11, 1260–1264 (1994).

[CrossRef]

R. Winston and H. Ries, “Nonimaging reflectors as functionals of the desired irradiance,” J. Opt. Soc. Am. A 10, 1902–1908 (1993).

[CrossRef]

H. Ries and J. Muschaweck, “Tailored freeform optical surfaces,” J. Opt. Soc. Am. A 19, 590–595 (2002).

[CrossRef]

V. Oliker, “Optical design of freeform two-mirror beam-shaping systems,” J. Opt. Soc. Am. A 24, 3741–3752 (2007).

[CrossRef]

W. Z. Zhang, Q. X. Liu, H. F. Gao, and F. H. Yu, “Free-form reflector optimization for general lighting,” Opt. Eng. 49, 063003 (2010).

[CrossRef]

F. Muñoz, P. Benítez, O. Dross, J. C. Miñano, and B. Paikyn, “Simultaneous multiple surface design of compact air-gap collimators for light-emitting diodes,” Opt. Eng. 43, 1522–1530(2004).

[CrossRef]

A. Cvetkovic, O. Dross, J. Chaves, P. Benitez, J. C. Miñano, and R. Mohedano, “Etendue-preserving mixing and projection optics for high-luminance LEDs, applied to automotive headlamps,” Opt. Express 14, 13014–13020 (2006).

[CrossRef]
[PubMed]

Y. Ding, X. Liu, Z. R. Zheng, and P. F. Gu, “Freeform LED lens for uniform illumination,” Opt. Express 16, 12958–12966 (2008).

[CrossRef]
[PubMed]

Y. Luo, Z. X. Feng, Y. J. Han, and H. T. Li, “Design of compact and smooth freeform optical system with uniform illuminance for LED source,” Opt. Express 18, 9055–9063 (2010).

[CrossRef]
[PubMed]

F. Chen, K. Wang, Z. Qin, D. Wu, X. B. Luo, and S. Liu, “Design method of high-efficient LED headlamp lens,” Opt. Express 18, 20926–20938 (2010).

[CrossRef]
[PubMed]

Z. X. Feng, Y. Luo, and Y. J. Han, “Design of LED freeform optical system for road lighting with high luminance/illuminance ratio,” Opt. Express 18, 22020–22031 (2010).

[CrossRef]
[PubMed]

P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, J. L. Alvarez, and W. Falicoff, “SMS design method in 3D geometry: examples and applications,” Proc. SPIE 5185, 18–29 (2004).

[CrossRef]

O. Dross, R. Mohedano, P. Benítez, J. C. Miñano, J. Chaves, J. Blen, M. Hernández, and F. Muñoz, “Review of SMS design methods and real world applications,” Proc. SPIE 5529, 35–47(2004).

[CrossRef]

W. J. Cassarly and M. J. Hayford, “Illumination optimization: the revolution has begun,” Proc. SPIE 4832, 258–269 (2002).

[CrossRef]

T. L. R. Davenport, T. A. Hougha, and W. J. Cassarlya, “Optimization for illumination systems: the next level of design,” Proc. SPIE 5456, 81–90 (2004).

[CrossRef]

T. R. Davenport, “3D NURBS representation of surfaces for illumination,” Proc. SPIE 4832, 293–301 (2002).

[CrossRef]

J. Bortz, N. Shatz, and M. Keuper, “Optimal design of a nonimaging TIR doublet lens for an illumination system using an LED source,” Proc. SPIE 5529, 8–16 (2004).

[CrossRef]

M. G. Turner and K. J. Garcia, “Optimization using rational Bézier control points and weighting factors,” Proc. SPIE 7061, 70610H (2008).

[CrossRef]

L. Piegl and W. Tiller, The Nurbs Books, 2nd ed. (Springer-Verlag, 1997).

[CrossRef]

R. Winston, Nonimaging Optics, 2nd ed. (SPIE, 2005).

Y. Gardan and P. de Casteljau, Shape Mathematics and CAD (Kogan Page, 1986).

J. S. Chitode, Numerical Methods (Technical Publications Pune, 2010).