IP Library › Granted Patent US 8,740,381
Granted Patent B2
US 8,740,381 · App. 11/823,401 · Granted Jun 3, 2014

Method and apparatus for extrapolating diagnostic data

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Quick Facts
Patent No.
US 8,740,381
App. No.
11/823,401
Granted
Jun 3, 2014
Kind
B2
Abstract

A method and an apparatus for extrapolating diagnostic data relating to one pupil diameter to another pupil diameter. Embodiments according to the invention are more particularly directed to extrapolating wavefront aberration data, for example, in the form of Zernike polynomial data, obtained from a smaller pupil diameter, d 1 , to a larger pupil diameter, d 2 . Data relating to the first pupil diameter d 1 may be obtained in a diagnostic procedure. In the extrapolation, a conversion matrix M is utilized. The conversion matrix M can be generated from a static matrix and a dynamic matrix, the latter taking the pupil diameter d 1 into consideration. Data relating the first pupil diameter d 1 and wavefront aberration data can be ordered via a permutation matrix P. If necessary, Extrapolated data can be re-ordered via a transposed permutation matrix P T . The extrapolated data relating to the pupil diameter d 2 can be processed to obtain an ablation profile, a shot file, or other data for a refractive vision correction treatment.

Claims (13)

1. A method for vision correction comprising the following steps:

(a) acquiring wavefront measurements from an eye at a first pupil diameter d 1 , representing the wavefront measurements by Zernike coefficients, and providing one or more Zernike coefficients relating to the first pupil diameter d 1 in a vector Z 1 ;

(b) multiplying the vector Z 1 with a conversion matrix M and outputting the result into a vector Z 2 containing extrapolated Zernike coefficients relating to the second pupil diameter d 2 , wherein the first pupil diameter d 1 is incorporated into the conversion matrix M and d 2 is greater than d 1 ;

(c) using the extrapolated Zemike coefficients to determine a vision correction treatment;

(d) ordering the Zernike coefficients relating to the first pupil diameter d 1 into the vector Z 1 using a permutation matrix P, prior to the step of multiplying the vector Z 1 with the conversion matrix M; and

(e) applying the treatment to the eye.

2. The method according to claim 1 , wherein the conversion matrix M is generated from a static matrix S and a dynamic matrix D, wherein the first pupil diameter d 1 is incorporated into the dynamic matrix D.

3. The method according to claim 1 , wherein the conversion matrix M is generated by multiplying the pupil diameter d 1 with a dynamic matrix D, and adding the multiplication result with a static matrix S.

4. The method according to claim 1 , comprising the step of re-ordering the Zernike coefficients relating to the second pupil diameter d 2 contained in the vector Z 2 using a transposed permutation matrix P T .

5. The method according to claim 1 , wherein the Zemike coefficients relating to the first pupil diameter d 1 are extrapolated in the range of 1% to 30%.

6. The method according to claim 1 , wherein the Zemike coefficients relating to the first pupil diameter d 1 are extrapolated in the range of 5% to 20%.

7. The method according to claim 1 , wherein the Zernike coefficients relating to the first pupil diameter d 1 are extrapolated in the range of 5% to 15%.

8. The method according to claim 1 , wherein the Zernike coefficients relating to the first pupil diameter d 1 are extrapolated by 10%.

Assignments (29)
RELEASE OF SECURITY INTEREST Recorded Nov 20, 2025
From: THE BANK OF NEW YORK MELLON, AS NOTES COLLATERAL AGENT
To: ATON PHARMA, INC.; BAUSCH & LOMB INCORPORATED; BAUSCH & LOMB PHARMA HOLDINGS CORP.; COMMONWEALTH LABORATORIES, LLC; DOW PHARMACEUTICAL SCIENCES, INC.; ECR PHARMACEUTICALS CO., INC.; LABORATOIRE CHAUVIN S.A.S.; MEDICIS PHARMACEUTICAL CORPORATION; ONPHARMA INC.; ORAPHARMA, INC.; PRECISION DERMATOLOGY, INC.; SALIX PHARMACEUTICALS, LTD.; SALIX PHARMACEUTICALS, INC.; SANTARUS, INC.; SOLTA MEDICAL, INC.; SYNERGETICS USA, INC.; TECHNOLAS PERFECT VISION GMBH; VALEANT CANADA LP; VALEANT PHARMACEUTICALS INTERNATIONAL; VALEANT PHARMACEUTICALS INTERNATIONAL, INC.; VALEANT PHARMACEUTICALS NORTH AMERICA LLC; WIRRA IP PTY LIMITED; VALEANT PHARMA POLAND SP. Z O.O.; VALEANT PHARMACEUTICALS LUXEMBOURG S.A R.L.; VALEANT PHARMACEUTICALS IRELAND LIMITED
Reel/Frame 073637/0001 →
RELEASE OF SECURITY INTEREST Recorded Nov 20, 2025
From: THE BANK OF NEW YORK MELLON, AS NOTES COLLATERAL AGENT
To: BAUSCH HEALTH AMERICAS, INC.; BAUSCH & LOMB INCORPORATED; BAUSCH HEALTH US, LLC; SOLTA MEDICAL, INC.; MEDICIS PHARMACEUTICAL CORPORATION; SALIX PHARMACEUTICALS, INC.; SALIX PHARMACEUTICALS, LTD.; SANTARUS, INC.; ORAPHARMA, INC.; PRECISION DERMATOLOGY, INC.
Reel/Frame 073637/0126 →
RELEASE OF SECURITY INTEREST Recorded Nov 20, 2025
From: THE BANK OF NEW YORK MELLON, AS NOTES COLLATERAL AGENT
To: BAUSCH & LOMB INCORPORATED; BAUSCH HEALTH US, LLC; SOLTA MEDICAL, INC.; MEDICIS PHARMACEUTICAL CORPORATION; SALIX PHARMACEUTICALS, INC.; SALIX PHARMACEUTICALS, LTD.; SANTARUS, INC.; ORAPHARMA, INC.; PRECISION DERMATOLOGY, INC.; BAUSCH HEALTH AMERICAS, INC.
Reel/Frame 073654/0242 →
ASSIGNMENT OF SECURITY INTEREST IN PATENTS PREVIOUSLY RECORDED AT REEL/FRAME (059913/0548) Recorded Aug 14, 2025
From: CITIBANK, N.A., AS RESIGNING AGENT
To: JPMORGAN CHASE BANK, N.A., AS SUCCESSOR AGENT
Reel/Frame 072469/0091 →
PATENT SECURITY AGREEMENT Recorded Jul 1, 2025
From: BAUSCH & LOMB INCORPORATED; ALDEN OPTICAL LABORATORIES, INC.; BAUSCH + LOMB IRELAND LIMITED
To: CITIBANK, N.A., AS NOTES COLLATERAL AGENT
Reel/Frame 071773/0871 →
RELEASE OF SECURITY INTEREST Recorded Apr 8, 2025
From: BARCLAYS BANK PLC, AS COLLATERAL AGENT
To: SOLTA MEDICAL, INC.; PRECISION DERMATOLOGY, INC.; BAUSCH HEALTH IRELAND LIMITED (F/K/A/ VALEANT PHARMACEUTICALS IRELAND LIMITED); SALIX PHARMACEUTICALS, INC.; SALIX PHARMACEUTICALS, LTD; SANTARUS, INC.; MEDICIS PHARMACEUTICAL CORPORATION; HUMAX PHARMACEUTICAL S.A.; SOLTA MEDICAL IRELAND LIMITED; BAUSCH & LOMB MEXICO, S.A. DE C.V.; BAUSCH+LOMB OPS B.V.; BAUSCH HEALTH AMERICAS, INC.; BAUSCH HEALTH COMPANIES INC.; BAUSCH HEALTH HOLDCO LIMITED; BAUSCH HEALTH MAGYARORSZAG KFT (A/K/A BAUSCH HEALTH HUNGARY LLC); BAUSCH HEALTH POLAND SPOLKA Z OGRANICZONA ODPOWIEDZIALNOSCIA (F/K/A VALEANT PHARMA POLAND SPOLKA Z OGRANICZONA ODPOWIEDZIALNOSCIA); BAUSCH HEALTH US, LLC; BAUSCH HEALTH, CANADA INC. / SANTE BAUSCH, CANADA INC.; ICN POLFA RZESZOW SPOLKA AKCYJNA (A/K/A ICN POLFA RZESZOW S.A.); ORAPHARMA, INC.; PRZEDSIEBIORSTWO FARMACEUTYCZNE JELFA SPOLKA AKCYJNA (A/K/A PRZEDSIEBIORSTWO FARMACEUTYCZNE JELFA S.A.); SOLTA MEDICAL DUTCH HOLDINGS B.V.; V-BAC HOLDING CORP.; VRX HOLDCO LLC; 1261229 B.C. LTD.; 1530065 B.C. LTD.
Reel/Frame 070778/0199 →
PATENT SECURITY AGREEMENT Recorded Oct 4, 2023
From: BAUSCH & LOMB INCORPORATED
To: CITIBANK, N.A., AS NOTES COLLATERAL AGENT
Reel/Frame 065120/0086 →
OMNIBUS PATENT SECURITY RELEASE AGREEMENT (REEL/FRAME 048556/0758) Recorded Nov 2, 2022
From: THE BANK OF NEW YORK MELLON
To: BAUSCH & LOMB INCORPORATED; BAUSCH HEALTH COMPANIES INC.; TECHNOLAS PERFECT VISION GMBH; THE UNITED STATES OF AMERICA, AS REPRESENTED BY THE SECRETARY, DEPARTMENT OF HEALTH AND HUMAN SERVICES
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OMNIBUS PATENT SECURITY RELEASE AGREEMENT (REEL/FRAME 043251/0932) Recorded Nov 2, 2022
From: THE BANK OF NEW YORK MELLON
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OMNIBUS PATENT SECURITY RELEASE AGREEMENT (REEL/FRAME 045444/0634) Recorded Nov 2, 2022
From: THE BANK OF NEW YORK MELLON
To: BAUSCH & LOMB INCORPORATED; LABORATOIRE CHAUVIN S.A.S.; TECHNOLAS PERFECT VISION GMBH; THE UNITED STATES OF AMERICA, AS REPRESENTED BY THE SECRETARY, DEPARTMENT OF HEALTH AND HUMAN SERVICES
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OMNIBUS PATENT SECURITY RELEASE AGREEMENT (REEL/FRAME 056811/0814) Recorded Nov 2, 2022
From: THE BANK OF NEW YORK MELLON
To: BAUSCH & LOMB INCORPORATED
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OMNIBUS PATENT SECURITY RELEASE AGREEMENT (REEL/FRAME 059121/0001) Recorded Nov 2, 2022
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To: BAUSCH & LOMB INCORPORATED
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RELEASE OF SECURITY INTEREST IN SPECIFIED PATENTS (REEL/FRAME 045444/0299) Recorded Oct 26, 2022
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RELEASE OF SECURITY INTEREST IN SPECIFIED PATENTS (REEL/FRAME 034749/0689) Recorded Oct 26, 2022
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PATENT SECURITY AGREEMENT Recorded May 10, 2022
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SECURITY AGREEMENT Recorded Feb 10, 2022
From: BAUSCH & LOMB INCORPORATED; BAUSCH HEALTH US, LLC; SOLTA MEDICAL, INC.; MEDICIS PHARMACEUTICAL CORPORATION; SALIX PHARMACEUTICALS, INC.; SALIX PHARMACEUTICALS, LTD.; SANTARUS, INC.; ORAPHARMA, INC.; PRECISION DERMATOLOGY, INC.; BAUSCH HEALTH AMERICAS, INC.
To: THE BANK OF NEW YORK MELLON
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SECURITY INTEREST Recorded Jun 8, 2021
From: BAUSCH & LOMB INCORPORATED; BAUSCH HEALTH US, LLC; SOLTA MEDICAL, INC.; MEDICIS PHARMACEUTICAL CORPORATION; SALIX PHARMACEUTICALS, INC.; SALIX PHARMACEUTICALS, LTD.; SANTARUS, INC.; ORAPHARMA, INC.; PRECISION DERMATOLOGY, INC.; BAUSCH HEALTH AMERICAS, INC.
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From: BAUSCH HEALTH AMERICAS, INC.; BAUSCH & LOMB INCORPORATED; BAUSCH HEALTH US, LLC; SOLTA MEDICAL, INC.; MEDICIS PHARMACEUTICAL CORPORATION; SALIX PHARMACEUTICALS, INC.; SALIX PHARMACEUTICALS, LTD.; SANTARUS, INC.; ORAPHARMA, INC.; PRECISION DERMATOLOGY, INC.
To: THE BANK OF NEW YORK MELLON, AS NOTES COLLATERAL AGENT
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SECURITY INTEREST Recorded Feb 26, 2018
From: ATON PHARMA, INC.; BAUSCH & LOMB INCORPORATED; BAUSCH & LOMB PHARMA HOLDINGS CORP.; COMMONWEALTH LABORATORIES, LLC; DOW PHARMACEUTICAL SCIENCES, INC.; ECR PHARMACEUTICALS CO., INC.; LABORATOIRE CHAUVIN S.A.S.; MEDICIS PHARMACEUTICAL CORPORATION; ONPHARMA INC.; ORAPHARMA, INC.; PRECISION DERMATOLOGY, INC.; SALIX PHARMACEUTICALS, LTD.; SALIX PHARMACEUTICALS, INC.; SANTARUS, INC.; SOLTA MEDICAL, INC.; SYNERGETICS USA, INC.; TECHNOLAS PERFECT VISION GMBH; VALEANT CANADA LP; VALEANT PHARMACEUTICALS INTERNATIONAL; VALEANT PHARMACEUTICALS INTERNATIONAL, INC.; VALEANT PHARMACEUTICALS NORTH AMERICA LLC; WIRRA IP PTY LIMITED; VALEANT PHARMA POLAND SP. Z O.O.; VALEANT PHARMACEUTICALS LUXEMBOURG S.A R.L.; VALEANT PHARMACEUTICALS IRELAND LIMITED
To: THE BANK OF NEW YORK MELLON, AS COLLATERAL AGENT
Reel/Frame 045444/0634 →
SECURITY INTEREST Recorded Feb 26, 2018
From: ATON PHARMA, INC.; BAUSCH & LOMB INCORPORATED; BAUSCH & LOMB PHARMA HOLDINGS CORP.; COMMONWEALTH LABORATORIES, LLC; DOW PHARMACEUTICAL SCIENCES, INC.; ECR PHARMACEUTICALS CO., INC.; LABORATOIRE CHAUVIN S.A.S.; MEDICIS PHARMACEUTICAL CORPORATION; ONPHARMA INC.; ORAPHARMA, INC.; PRECISION DERMATOLOGY, INC.; SALIX PHARMACEUTICALS, LTD.; SALIX PHARMACEUTICALS, INC.; SANTARUS, INC.; SOLTA MEDICAL, INC.; SYNERGETICS USA, INC.; TECHNOLAS PERFECT VISION GMBH; VALEANT CANADA LP; VALEANT PHARMACEUTICALS INTERNATIONAL; VALEANT PHARMACEUTICALS INTERNATIONAL, INC.; VALEANT PHARMACEUTICALS NORTH AMERICA LLC; WIRRA IP PTY LIMITED; VALEANT PHARMA POLAND SP. Z O.O.; VALEANT PHARMACEUTICALS LUXEMBOURG S.A R.L.; VALEANT PHARMACEUTICALS IRELAND LIMITED
To: BARCLAYS BANK PLC, AS COLLATERAL AGENT
Reel/Frame 045444/0299 →
SECURITY INTEREST Recorded Jul 19, 2017
From: BAUSCH & LOMB INCORPORATED
To: THE BANK OF NEW YORK MELLON
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NOTICE OF SUCCESSION OF AGENCY Recorded Jan 9, 2015
From: GOLDMAN SACHS LENDING PARTNERS, LLC
To: BARCLAYS BANK PLC, AS SUCCESSOR AGENT
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SECURITY AGREEMENT Recorded Sep 4, 2013
From: BAUSCH & LOMB INCORPORATED
To: GOLDMAN SACHS LENDING PARTNERS LLC, AS COLLATERAL AGENT
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RELEASE OF SECURITY INTEREST Recorded Aug 13, 2013
From: CITIBANK N.A., AS ADMINISTRATIVE AGENT
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SECURITY AGREEMENT Recorded Aug 6, 2012
From: BAUSCH & LOMB INCORPORATED; EYEONICS, INC.
To: CITIBANK N.A., AS ADMINISTRATIVE AGENT
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RELEASE OF SECURITY INTEREST Recorded Aug 5, 2012
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SECURITY AGREEMENT Recorded Nov 16, 2007
From: BAUSCH & LOMB INCORPORATED; B&L CRL INC.; B&L CRL PARTNERS L.P.; B & L DOMESTIC HOLDINGS CORP.; B&L FINANCIAL HOLDINGS CORP.; B&L SPAF INC.; B&L VPLEX HOLDINGS, INC.; BAUSCH & LOMB CHINA, INC.; BAUSCH & LOMB INTERNATIONAL INC.; BAUSCH & LOMB TECHNOLOGY CORPORATION; BAUSCH & LOMB REALTY CORPORATION; BAUSCH & LOMB SOUTH ASIA, INC.; SIGHT SAVERS, INC.; WILMINGTON MANAGEMENT CORP.; WILMINGTON PARTNERS L.P.; B&L MINORITY DUTCH HOLDINGS LLC; IOLAB CORPORATION; RHC HOLDINGS, INC.; WP PRISM, INC.
To: CREDIT SUISSE
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ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Oct 12, 2007
From: YOUSSEFI, GERHARD; HILGER, ANTON; HOFF, JULIA
To: BAUSCH & LOMB INCORPORATED
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