UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549


                                  SCHEDULE 13G

                   UNDER THE SECURITIES EXCHANGE ACT OF 1934
                               (AMENDMENT NO. 1)*

                                Endologix, Inc.
--------------------------------------------------------------------------------
                                (Name of Issuer)

                         Common Stock, $.001 par value
--------------------------------------------------------------------------------
                         (Title of Class of Securities)

                                   29266S106
                                   ---------
                                 (CUSIP Number)


                               December 31, 2004
                               -----------------
                      (Date of Event which Requires Filing
                               of this Statement)



Check the appropriate box to designate the rule pursuant to which this Schedule
is filed:

                  [ ]      Rule 13d-1(b)
                  [X]      Rule 13d-1(c)
                  [ ]      Rule 13d-1(d)



  *The remainder of this cover page shall be filled out for a reporting person's
  initial filing on this form with respect to the subject class of securities,
  and for any subsequent amendment containing information which would alter the
  disclosures provided in a prior cover page.

  The information required on the remainder of this cover page shall not be
  deemed to be "filed" for the purpose of Section 18 of the Securities Exchange
  Act of 1934 ("Act") or otherwise subject to the liabilities of that section of
  the Act but shall be subject to all other provisions of the Act (however, see
  the Notes).


                                  Page 1 of 9


---------------------------                              -----------------------
    CUSIP No. 29266S106               13G                   Page 2 of 9 Pages
---------------------------                              -----------------------

---------- ---------------------------------------------------------------------
        1  NAME OF REPORTING PERSON
           I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

           S.A.C. Capital Advisors, LLC
---------- ---------------------------------------------------------------------
        2  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                                         (a) |_|
                                                                         (b) |X|
---------- ---------------------------------------------------------------------
        3  SEC USE ONLY


---------- ---------------------------------------------------------------------
        4  CITIZENSHIP OR PLACE OF ORGANIZATION

           Delaware
--------------------- ----- ----------------------------------------------------
      NUMBER OF          5  SOLE VOTING POWER
        SHARES
     BENEFICIALLY           0
        OWNED         ----- ----------------------------------------------------
          BY             6  SHARED VOTING POWER                                 
         EACH                                                                   
      REPORTING             1,160,000 (see Item 4)                              
        PERSON        ----- ----------------------------------------------------
         WITH            7  SOLE DISPOSITIVE POWER                              
                                                                                
                            0                                                   
                      ----- ----------------------------------------------------
                         8  SHARED DISPOSITIVE POWER

                            1,160,000 (see Item 4)
---------- ---------------------------------------------------------------------
        9  AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

           1,160,000 (see Item 4)
---------- ---------------------------------------------------------------------
       10  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES

           |_|
---------- ---------------------------------------------------------------------
       11  PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

           3.6% (see Item 4)
---------- ---------------------------------------------------------------------
       12  TYPE OF REPORTING PERSON*

           00
---------- ---------------------------------------------------------------------
                      *SEE INSTRUCTION BEFORE FILLING OUT

                                  Page 2 of 9


---------------------------                              -----------------------
    CUSIP No. 29266S106               13G                   Page 3 of 9 Pages
---------------------------                              -----------------------

---------- ---------------------------------------------------------------------
        1  NAME OF REPORTING PERSON
           I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

           S.A.C. Capital Management, LLC
---------- ---------------------------------------------------------------------
        2  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                                         (a) |_|
                                                                         (b) |X|
---------- ---------------------------------------------------------------------
        3  SEC USE ONLY


---------- ---------------------------------------------------------------------
        4  CITIZENSHIP OR PLACE OF ORGANIZATION

           Delaware
-------------------- ------ ----------------------------------------------------
      NUMBER OF          5  SOLE VOTING POWER
       SHARES
    BENEFICIALLY            0
        OWNED        ------ ----------------------------------------------------
         BY              6  SHARED VOTING POWER                                 
        EACH                                                                    
      REPORTING             1,160,000 (see Item 4)                              
       PERSON        ------ ----------------------------------------------------
        WITH             7  SOLE DISPOSITIVE POWER                              
                                                                                
                            0                                                   
                     ------ ----------------------------------------------------
                         8  SHARED DISPOSITIVE POWER

                            1,160,000 (see Item 4)
---------- ---------------------------------------------------------------------
        9  AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

           1,160,000 (see Item 4)
---------- ---------------------------------------------------------------------
       10  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES

           |_|
---------- ---------------------------------------------------------------------
       11  PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

           3.6% (see Item 4)
---------- ---------------------------------------------------------------------
       12  TYPE OF REPORTING PERSON*

           00
---------- ---------------------------------------------------------------------

                      *SEE INSTRUCTION BEFORE FILLING OUT

                                  Page 3 of 9


---------------------------                              -----------------------
    CUSIP No. 29266S106               13G                   Page 4 of 9 Pages
---------------------------                              -----------------------

---------- ---------------------------------------------------------------------
        1  NAME OF REPORTING PERSON
           I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

           S.A.C. Capital Associates, LLC
---------- ---------------------------------------------------------------------
        2  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                                         (a) |_|
                                                                         (b) |X|
---------- ---------------------------------------------------------------------
        3  SEC USE ONLY


---------- ---------------------------------------------------------------------
        4  CITIZENSHIP OR PLACE OF ORGANIZATION

           Anguilla, British West Indies
-------------------- ------ ----------------------------------------------------
      NUMBER OF          5  SOLE VOTING POWER
       SHARES
    BENEFICIALLY            0
        OWNED        ------ ----------------------------------------------------
         BY              6  SHARED VOTING POWER                                 
        EACH                                                                    
      REPORTING             1,160,000 (see Item 4)                              
       PERSON        ------ ----------------------------------------------------
        WITH             7  SOLE DISPOSITIVE POWER                              
                                                                                
                            0                                                   
                     ------ ----------------------------------------------------
                         8  SHARED DISPOSITIVE POWER

                            1,160,000 (see Item 4)
---------- ---------------------------------------------------------------------
        9  AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

           1,160,000 (see Item 4)
---------- ---------------------------------------------------------------------
       10  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES

           |_|
---------- ---------------------------------------------------------------------
       11  PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

           3.6% (see Item 4)
---------- ---------------------------------------------------------------------
       12  TYPE OF REPORTING PERSON*

           00
---------- ---------------------------------------------------------------------

                      *SEE INSTRUCTION BEFORE FILLING OUT

                                  Page 4 of 9


---------------------------                              -----------------------
    CUSIP No. 29266S106               13G                   Page 5 of 9 Pages
---------------------------                              -----------------------

---------- ---------------------------------------------------------------------
        1  NAME OF REPORTING PERSON
           I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

           Steven A. Cohen
---------- ---------------------------------------------------------------------
        2  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                                         (a) |_|
                                                                         (b) |X|
---------- ---------------------------------------------------------------------
        3  SEC USE ONLY


---------- ---------------------------------------------------------------------
        4  CITIZENSHIP OR PLACE OF ORGANIZATION

           United States
-------------------- ------ ----------------------------------------------------
      NUMBER OF          5  SOLE VOTING POWER
       SHARES
    BENEFICIALLY            0
        OWNED        ------ ----------------------------------------------------
         BY              6  SHARED VOTING POWER                                 
        EACH                                                                    
      REPORTING             1,160,000 (see Item 4)                              
       PERSON        ------ ----------------------------------------------------
        WITH             7  SOLE DISPOSITIVE POWER                              
                                                                                
                            0                                                   
                     ------ ----------------------------------------------------
                         8  SHARED DISPOSITIVE POWER

                            1,160,000 (see Item 4)
---------- ---------------------------------------------------------------------
        9  AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

           1,160,000 (see Item 4)
---------- ---------------------------------------------------------------------
       10  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES

           |_|
---------- ---------------------------------------------------------------------
       11  PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

           3.6% (see Item 4)
---------- ---------------------------------------------------------------------
       12  TYPE OF REPORTING PERSON*

           IN
---------- ---------------------------------------------------------------------

                      *SEE INSTRUCTION BEFORE FILLING OUT

                                  Page 5 of 9


ITEM 1(A)         NAME OF ISSUER:

                  Endologix, Inc.

ITEM 1(B)         ADDRESS OF ISSUER'S PRINCIPAL EXECUTIVE OFFICES:

                  13900 Alton Parkway, Suite 122
                  Irvine, California 92618

ITEMS 2(A)        NAME OF PERSON FILING:

                  This statement is filed by: (i) S.A.C. Capital Advisors, LLC,
                  ("SAC Capital Advisors") with respect to shares of common
                  stock, $.001 par value per share ("Shares"), of the Issuer
                  beneficially owned by S.A.C. Capital Associates, LLC ("SAC
                  Capital Associates"); (ii) S.A.C. Capital Management, LLC,
                  ("SAC Capital Management") with respect to Shares beneficially
                  owned by SAC Capital Associates; (iii) SAC Capital Associates
                  with respect to Shares beneficially owned by it; and (iv)
                  Steven A. Cohen with respect to Shares beneficially owned by
                  SAC Capital Advisors, SAC Capital Management and SAC Capital
                  Associates.

ITEM 2(B)         ADDRESS OF PRINCIPAL BUSINESS OFFICE:

                  The address of the principal business office of (i) SAC
                  Capital Advisors and Mr. Cohen is 72 Cummings Point Road,
                  Stamford, Connecticut 06902, (ii) SAC Capital Management is
                  540 Madison Avenue, New York, New York 10022, and (iii) SAC
                  Capital Associates is P.O. Box 58, Victoria House, The Valley,
                  Anguilla, British West Indies.

ITEM 2(C)         CITIZENSHIP:

                  SAC Capital Advisors and SAC Capital Management are Delaware
                  limited liability companies. SAC Capital Associates is an
                  Anguillan limited liability company. Mr. Cohen is a United
                  States citizen.

ITEM 2(D)         TITLE OF CLASS OF SECURITIES:

                  Common Stock, $.001 par value

ITEM 2(E)         CUSIP NUMBER:

                  29266S106

ITEM 3            Not Applicable


                                  Page 6 of 9


ITEM 4            OWNERSHIP:

                  The percentages used herein are calculated based upon the
                  Shares issued and outstanding as of November 1, 2004 as
                  reported on the Issuer's quarterly report on Form 10-Q filed
                  with the Securities and Exchange Commission by the Company for
                  the quarterly period ended September 30, 2004.

                  As of the close of business on December 31, 2004:

                  1. S.A.C. Capital Advisors, LLC 
                  (a) Amount beneficially owned: 1,160,000
                  (b) Percent of class: 3.6% 
                  (c)(i) Sole power to vote or direct the vote: -0-
                  (ii) Shared power to vote or direct the vote: 1,160,000
                  (iii) Sole power to dispose or direct the disposition: -0-
                  (iv) Shared power to dispose or direct the disposition:
                  1,160,000

                  2. S.A.C. Capital Management, LLC 
                  (a) Amount beneficially owned: 1,160,000 
                  (b) Percent of class: 3.6% 
                  (c)(i) Sole power to vote or direct the vote: -0-
                  (ii) Shared power to vote or direct the vote: 1,160,000
                  (iii) Sole power to dispose or direct the disposition: -0-
                  (iv) Shared power to dispose or direct the disposition:
                  1,160,000

                  3. S.A.C. Capital Associates, LLC 
                  (a) Amount beneficially owned: 1,160,000 
                  (b) Percent of class: 3.6% 
                  (c)(i) Sole power to vote or direct the vote: -0-
                  (ii) Shared power to vote or direct the vote: 1,160,000
                  (iii) Sole power to dispose or direct the disposition: -0-
                  (iv) Shared power to dispose or direct the disposition:
                  1,160,000

                  4. Steven A. Cohen
                  (a) Amount beneficially owned: 1,160,000 
                  (b) Percent of class: 3.6% 
                  (c)(i) Sole power to vote or direct the vote: -0-
                  (ii) Shared power to vote or direct the vote: 1,160,000
                  (iii) Sole power to dispose or direct the disposition: -0-
                  (iv) Shared power to dispose or direct the disposition:
                  1,160,000

                  SAC Capital Advisors, SAC Capital Management, and Mr. Cohen
                  own directly no Shares. Pursuant to investment agreements,
                  each of SAC Capital Advisors and SAC Capital Management share
                  all investment and voting power with respect to the securities
                  held by SAC Capital Associates. Mr. Cohen controls both SAC
                  Capital Advisors and SAC Capital Management. By reason of the
                  provisions of Rule 13d-3 of the Securities Exchange Act of
                  1934, as amended, each of SAC Capital Advisors, SAC Capital
                  Management and Mr. Cohen may be deemed to own beneficially
                  1,160,000 Shares (constituting approximately 3.6% of the
                  Shares outstanding). Each of SAC Capital Advisors, SAC Capital
                  Management and Mr. Cohen disclaim beneficial ownership of any
                  of the securities covered by this statement.


                                  Page 7 of 9


ITEM 5            OWNERSHIP OF FIVE PERCENT OR LESS OF A CLASS:

                  If this statement is being filed to report the fact that as of
                  the date hereof the reporting person has ceased to be the
                  beneficial owner of more than five percent of the class of
                  securities, check the following. /X/

ITEM 6            OWNERSHIP OF MORE THAN FIVE PERCENT ON BEHALF OF ANOTHER
                  PERSON:

                  Not Applicable

ITEM 7            IDENTIFICATION AND CLASSIFICATION OF THE SUBSIDIARY WHICH
                  ACQUIRED THE SECURITY BEING REPORTED ON BY THE PARENT HOLDING
                  COMPANY:

                  Not Applicable

ITEM 8            IDENTIFICATION AND CLASSIFICATION OF MEMBERS OF THE GROUP:

                  Not Applicable

ITEM 9            NOTICE OF DISSOLUTION OF GROUP:

                  Not Applicable

ITEM 10           CERTIFICATION:

By signing below the signatory certifies that, to the best of his knowledge and
belief, the securities referred to above were not acquired and are not held for
the purpose of or with the effect of changing or influencing the control of the
issuer of the securities and were not acquired and are not held in connection
with or as a participant in any transaction having that purpose or effect.

                                  Page 8 of 9


                                    SIGNATURE

         After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete and
correct.


Dated:  February 14, 2005

S.A.C. CAPITAL ADVISORS, LLC


By:    /s/ Peter Nussbaum                                     
   -----------------------------------------
Name:  Peter Nussbaum
Title:  Authorized Person


S.A.C. CAPITAL MANAGEMENT, LLC


By:    /s/ Peter Nussbaum                                     
   -----------------------------------------
Name:  Peter Nussbaum
Title:  Authorized Person


S.A.C. CAPITAL ASSOCIATES, LLC


By:    /s/ Peter Nussbaum                                     
   -----------------------------------------
Name:  Peter Nussbaum
Title:  Authorized Person


STEVEN A. COHEN


By:    /s/ Peter Nussbaum                                     
   -----------------------------------------
Name:  Peter Nussbaum
Title:  Authorized Person


                                  Page 9 of 9