Exhibit 3.1

CERTIFICATE OF AMENDMENT

OF THE

RESTATED CERTIFICATE OF INCORPORATION

OF

DIGIRAD CORPORATION

__________________________

Digirad Corporation , a corporation organized and existing under and by virtue of the General Corporation Law of the State of Delaware (the “ Corporation ”),

DOES HEREBY CERTIFY:

FIRST :         That resolutions were duly adopted by the Board of Directors of the Corporation setting forth this proposed Amendment to the Restated Certificate of Incorporation of the Corporation and declaring said Amendment to be advisable and recommended for approval by the stockholders of the Corporation.

SECOND :     This Amendment to the Restated Certificate of Incorporation adds an Article XIV to the Restated Certificate of Incorporation to read in its entirety as follows:

ARTICLE XIV

PROTECTION OF TAX BENEFITS

(A)    DEFINITIONS. As used in this Article XIV, the following capitalized terms have the following meanings when used herein with initial capital letters (and any references to any portions of Treas. Reg. § 1.382-2T shall include any successor provisions):

1. “4.99-percent Transaction” means any Transfer described in clause (i) or (ii) of Section (B) of this Article XIV.

2. “4.99-percent Stockholder” means a Person or group of Persons that is a “5-percent stockholder” of the corporation pursuant to Treas. Reg. § 1.382-2T(g), as applied by replacing “5-percent” with “4.99-percent” and “five percent” with “4.99 percent,” where applicable.

3. “Agent” has the meaning set forth in Section (E) of this Article XIV.

4. “Board of Directors” means the board of directors of the Corporation.

5. “Code” means the United States Internal Revenue Code of 1986, as amended from time to time.

6. “Corporation Security” or “Corporation Securities” means (i) any Stock, (ii) shares of preferred stock issued by the Corporation (other than preferred stock described in § 1504(a)(4) of the Code), and (iii) warrants, rights, or options (including options within the meaning of Treas. Reg. § 1.382-2T(h)(4)(v) or Treas. Reg. § 1.382-4(d)(9)) to purchase securities of the Corporation.

7. “Effective Date” means the date of filing of this Amendment to the Restated Certificate of Incorporation of the Corporation with the Secretary of State of the State of Delaware.

8. “Excess Securities” has the meaning set forth in Section (D) of this Article XIV.

9. “Expiration Date” means the earliest of (i) the close of business on the date that is the third anniversary of the Effective Date, (ii) the repeal of Section 382 of the Code or any successor statute if the Board of Directors determines that this Article XIV is no longer necessary or desirable for the preservation of Tax Benefits, (iii) the close of business on the first day of a taxable year of the Corporation as to which the Board of Directors determines that no Tax Benefits

may be carried forward or (iv) such date as the Board of Directors shall fix in accordance with Section (L) of this Article XIV.

10. “Percentage Stock Ownership” means the percentage Stock Ownership interest of any Person or group (as the context may require) for purposes of Section 382 of the Code as determined in accordance with Treas. Reg. § 1.382-2T(g), (h), (j) and (k) and Treas. Reg. § 1.382-4, or any successor provisions and other pertinent Internal Revenue Service guidance.

11. “Person” means any individual, partnership, joint venture, limited liability company, firm, corporation, unincorporated association or organization, trust or other entity or any group of such “Persons” having a formal or informal understanding among themselves to make a “coordinated acquisition” of shares within the meaning of Treas. Reg. § 1.382-3(a)(1) or who are otherwise treated as an “entity” within the meaning of Treas. Reg. § 1.382-3(a)(1), and shall include any successor (by merger or otherwise) of any such entity or group.

12. “Prohibited Distributions” means any and all dividends or other distributions paid by the Corporation with respect to any Excess Securities received by a Purported Transferee.

13. “Prohibited Transfer” means any Transfer or purported Transfer of Corporation Securities to the extent that such Transfer is prohibited and/or void under this Article XIV.

14. “Public Group” has the meaning set forth in Treas. Reg. § 1.382-2T(f)(13).

15. “Purported Transferee” has the meaning set forth in Section (D) of this Article XIV.

16. “Remedial Holder” has the meaning set forth in Section (G) of this Article XIV.

17. “Stock” means any interest that would be treated as “stock” of the Corporation pursuant to Treas. Reg. § 1.382-2T(f)(18).

18. “Stock Ownership” means any direct or indirect ownership of Stock, including any ownership by virtue of application of constructive ownership rules, with such direct, indirect and constructive ownership determined under the provisions of Section 382 of the Code and the Treasury Regulations thereunder, including, for the avoidance of doubt, any ownership whereby a Person owns Stock pursuant to a “coordinated acquisition” treated as a single “entity” as defined in Treas. Reg. § 1.382-3(a)(1), or such Stock is otherwise aggregated with Stock owned by such Person pursuant to the provisions of Section 382 of the Code and the Treasury Regulations thereunder.

19. “Tax Benefits” means the net operating loss carryforwards, capital loss carryforwards, general business credit carryforwards, alternative minimum tax credit carryforwards and foreign tax credit carryforwards, as well as any loss or deduction attributable to a “net unrealized built-in loss” of the Corporation or any direct or indirect subsidiary thereof, within the meaning of Section 382 of the Code.

20. “Transfer” means, any direct or indirect sale, transfer, assignment, conveyance, pledge or other disposition, event or occurrence or other action taken by a Person, other than the Corporation, that alters the Percentage Stock Ownership of any Person or group. A Transfer also shall include the creation or grant of an option (including an option within the meaning of Treas. Reg. § 1.382-4(d)). For the avoidance of doubt, a Transfer shall not include the creation or grant of an option by the Corporation, nor shall a Transfer include the issuance of Stock by the Corporation.

21. “Transferee” means any Person to whom Corporation Securities are Transferred.

22. “Treasury Regulations” or “Treas. Reg.” means the regulations, including temporary regulations or any successor regulations, promulgated under the Code, as amended from time to time.

(B)    TRANSFER AND OWNERSHIP RESTRICTIONS. In order to preserve the Tax Benefits, from and after the Effective Date of this Article XIV any attempted Transfer of Corporation Securities prior to the Expiration Date and any attempted Transfer of Corporation Securities pursuant to an agreement entered into prior to the Expiration Date shall be prohibited and void ab initio to the extent that, as a result of such Transfer (or any series of Transfers of which such Transfer is a part), either (i) any Person or Persons would become a 4.99-percent Stockholder or (ii) the Percentage Stock Ownership in the Corporation of any 4.99-percent Stockholder would be increased. The prior sentence is not intended to prevent Corporation Securities from being DTC-eligible and shall not preclude the settlement of any transaction in Corporation Securities entered into through the facilities

of a national securities exchange; provided , however , that the Corporation Securities and parties involved in such transaction shall remain subject to the provisions of this Article XIV in respect of such transaction.

(C)    EXCEPTIONS .

1. Notwithstanding anything to the contrary herein, Transfers to a Public Group (including a new Public Group created under Treas. Reg. § 1.382-2T(j)(3)(i)) shall be permitted.

2. The restrictions set forth in Section (B) of this Article XIV shall not apply to an attempted Transfer that is a 4.99-percent Transaction if the transferor or the Transferee obtains the written approval of the Board of Directors or a duly authorized committee thereof. As a condition to granting its approval pursuant to this Section (C) of this Article XIV, the Board of Directors may, in its discretion, require (at the expense of the transferor and/or Transferee) an opinion of counsel selected by the Board of Directors that the Transfer shall not result in a limitation on the use of the Tax Benefits as a result of the application of Section 382 of the Code; provided that the Board of Directors may grant such approval notwithstanding the effect of such approval on the Tax Benefits if it determines that the approval is in the best interests of the Corporation. The Board of Directors may grant its approval in whole or in part with respect to such Transfer and may impose any conditions that it deems reasonable and appropriate in connection with such approval, including, without limitation, restrictions on the ability of any Transferee to Transfer Stock acquired through a Transfer. Approvals of the Board of Directors hereunder may be given prospectively or retroactively. The Board of Directors, to the fullest extent permitted by law, may exercise the authority granted by this Article XIV through duly authorized officers or agents of the Corporation. Nothing in this Section (C) of this Article XIV shall be construed to limit or restrict the Board of Directors in the exercise of its fiduciary duties under applicable law.

(D)    EXCESS SECURITIES .

1. No employee or agent of the Corporation shall record any Prohibited Transfer, and the purported transferee of such a Prohibited Transfer (the “Purported Transferee”) shall not be recognized as a stockholder of the Corporation for any purpose whatsoever in respect of the Corporation Securities which are the subject of the Prohibited Transfer (the “Excess Securities”). The Purported Transferee shall not be entitled, with respect to such Excess Securities, to any rights of stockholders of the Corporation, including, without limitation, the right to vote such Excess Securities and to receive dividends or distributions, whether liquidating or otherwise, in respect thereof, if any, and the Excess Securities shall be deemed to remain with the transferor unless and until the Excess Securities are transferred to the Agent pursuant to Section (E) of this Article XIV or until an approval is obtained under Section (C) of this Article XIV. After the Excess Securities have been acquired in a Transfer that is not a Prohibited Transfer, the Corporation Securities shall cease to be Excess Securities. For this purpose, any Transfer of Excess Securities not in accordance with the provisions of this Section (D) or Section (E) of this Article XIV shall also be a Prohibited Transfer.

2. The Corporation may require as a condition to the registration of the Transfer of any Corporation Securities or the payment of any distribution on any Corporation Securities that the proposed Transferee or payee furnish to the Corporation all information reasonably requested by the Corporation with respect to its direct or indirect ownership interests in such Corporation Securities. The Corporation may make such arrangements or issue such instructions to its stock transfer agent as may be determined by the Board of Directors to be necessary or advisable to implement this Article XIV, including, without limitation, authorizing such transfer agent to require an affidavit from a Purported Transferee regarding such Person’s actual and constructive ownership of Stock and other evidence that a Transfer will not be prohibited by this Article XIV as a condition to registering any transfer.

(E)    TRANSFER TO AGENT. If the Board of Directors determines that a Transfer of Corporation Securities constitutes a Prohibited Transfer, then, upon written demand by the Corporation sent within thirty days of the date on which the Board of Directors determines that the attempted Transfer would result in Excess Securities, the Purported Transferee shall transfer or cause to be transferred any certificate or other evidence of ownership of the Excess Securities within the Purported Transferee’s possession or control, together with any Prohibited Distributions, to an agent designated by the Board of Directors (the “Agent”). The Agent shall thereupon sell to a buyer or buyers, which may include the Corporation, the Excess Securities transferred to it in one or more arm’s-length transactions (on the public securities market on which such Excess Securities are traded, if possible, or otherwise privately); provided , however , that any such sale must not constitute a Prohibited Transfer and provided , further , that the Agent shall effect such sale or sales in an orderly fashion and shall not be required to effect any such sale within any specific time frame if, in the Agent’s discretion, such sale or sales would disrupt the market for the Corporation Securities or otherwise would adversely affect the value of the Corporation Securities. If the Purported Transferee has resold the Excess Securities before receiving the Corporation’s demand to surrender Excess Securities to the Agent, the Purported Transferee shall be deemed to have sold the Excess Securities for the Agent, and shall be required to transfer to the Agent any Prohibited Distributions and proceeds

of such sale, except to the extent that the Corporation grants written permission to the Purported Transferee to retain a portion of such sale proceeds not exceeding the amount that the Purported Transferee would have received from the Agent pursuant to Section (F) of this Article XIV if the Agent rather than the Purported Transferee had resold the Excess Securities.

(F)    APPLICATION OF PROCEEDS AND PROHIBITED DISTRIBUTIONS. The Agent shall apply any proceeds of a sale by it of Excess Securities and, if the Purported Transferee has previously resold the Excess Securities, any amounts received by it from a Purported Transferee, together, in either case, with any Prohibited Distributions, as follows: (i) first, such amounts shall be paid to the Agent to the extent necessary to cover its costs and expenses incurred in connection with its duties hereunder; (ii) second, any remaining amounts shall be paid to the Purported Transferee, up to the amount paid by the Purported Transferee for the Excess Securities (or the fair market value at the time of the Transfer, in the event the purported Transfer of the Excess Securities was, in whole or in part, a gift, inheritance or similar Transfer) which amount (or fair market value) shall be determined at the discretion of the Board of Directors; and (iii) third, any remaining amounts shall be paid to one or more organizations selected by the Board of Directors which is described under Section 501(c)(3) of the Code (or any comparable successor provision) and contributions to which are eligible for deduction under each of Sections 170(b)(1)(A), 2055 and 2552 of the Code. The Purported Transferee of Excess Securities shall have no claim, cause of action or any other recourse whatsoever against any transferor of Excess Securities. The Purported Transferee’s sole right with respect to such shares shall be limited to the amount payable to the Purported Transferee pursuant to this Section (F) of this Article XIV. In no event shall the proceeds of any sale of Excess Securities pursuant to this Section (F) of this Article XIV inure to the benefit of the Corporation or the Agent, except to the extent used to cover costs and expenses incurred by Agent in performing its duties hereunder.

(G)    MODIFICATION OF REMEDIES FOR CERTAIN INDIRECT TRANSFERS. In the event of any Transfer which does not involve a transfer of Corporation Securities within the meaning of Delaware law but which would cause a 4.99-percent Stockholder to violate a restriction on Transfers provided for in this Article XIV, the application of Sections (E) and (F) of this Article XIV shall be modified as described in this Section (G) of this Article XIV. In such case, no such 4.99-percent Stockholder shall be required to dispose of any interest that is not a Corporation Security, but such 4.99-percent Stockholder and/or any Person whose ownership of Corporation Securities is attributed to such 4.99-percent Stockholder (such 4.99-percent Stockholder or other Person, a “Remedial Holder”) shall be deemed to have disposed of and shall be required to dispose of sufficient Corporation Securities (which Corporation Securities shall be disposed of in the inverse order in which they were acquired) to cause such 4.99-percent Stockholder, following such disposition, not to be in violation of this Article XIV. Such disposition shall be deemed to occur simultaneously with the Transfer giving rise to the application of this provision, and such number of Corporation Securities that are deemed to be disposed of shall be considered Excess Securities and shall be disposed of through the Agent as provided in Sections (E) and (F) of this Article XIV, except that the maximum aggregate amount payable to a Remedial Holder in connection with such sale shall be the fair market value of such Excess Securities at the time of the purported Transfer. A Remedial Holder shall not be entitled, with respect to such Excess Securities, to any rights of stockholders of the Corporation, including, without limitation, the right to vote such Excess Securities and to receive dividends or distributions, whether liquidating or otherwise, in respect thereof, if any, following the time of the purported Transfer. All expenses incurred by the Agent in disposing of such Excess Stock shall be paid out of any amounts due such 4.99-percent Stockholder or such other Person. The purpose of this Section (G) of this Article XIV is to extend the restrictions in Sections (B) and (E) of this Article XIV to situations in which there is a 4.99-percent Transaction without a direct Transfer of Corporation Securities, and this Section (G) of this Article XIV, along with the other provisions of this Article XIV, shall be interpreted to produce the same results, with differences as the context requires, as a direct Transfer of Corporation Securities.

(H)    LEGAL PROCEEDINGS; PROMPT ENFORCEMENT. If the Purported Transferee fails to surrender the Excess Securities or the proceeds of a sale thereof to the Agent within thirty days from the date on which the Corporation makes a written demand pursuant to Section (E) of this Article XIV (whether or not made within the time specified in Section (E) of this Article XIV), then the Corporation may take such actions as it deems appropriate to enforce the provisions hereof, including the institution of legal proceedings to compel the surrender. Nothing in this Section (H) of this Article XIV shall (i) be deemed inconsistent with any Transfer of the Excess Securities provided in this Article XIV being void ab initio , (ii) preclude the Corporation in its discretion from immediately bringing legal proceedings without a prior demand or (iii) cause any failure of the Corporation to act within the time periods set forth in Section (E) of this Article XIV to constitute a waiver or loss of any right of the Corporation under this Article XIV. The Board of Directors may authorize such additional actions as it deems advisable to give effect to the provisions of this Article XIV.

(I)    LIABILITY. To the fullest extent permitted by law, any stockholder subject to the provisions of this Article XIV who knowingly violates the provisions of this Article XIV and any Persons controlling, controlled by or under common control with such stockholder shall be jointly and severally liable to the Corporation for, and shall indemnify and hold the Corporation harmless against, any and all damages suffered as a result of such violation, including but not limited to damages resulting from a reduction in, or elimination of, the Corporation’s ability to utilize its Tax Benefits, and attorneys’ and auditors’ fees incurred in connection with such violation.

(J)    OBLIGATION TO PROVIDE INFORMATION. As a condition to the registration of the Transfer of any Stock, any Person who is a beneficial, legal or record holder of Stock, and any proposed Transferee and any Person controlling, controlled by or under common control with the proposed Transferee, shall provide such information as the Corporation may request from time to time in order to determine compliance with this Article XIV or the status of the Tax Benefits of the Corporation.

(K)    LEGENDS. The Board of Directors may require that any certificates issued by the Corporation evidencing ownership of shares of Stock that are subject to the restrictions on transfer and ownership contained in this Article XIV bear the following legend: