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Net Income (Loss) Per Share | 12 Months Ended
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Dec. 31, 2022
Earnings Per Share [Abstract] |
Net Income (Loss) Per Share | (19) Net Income (Loss) Per Share Basic net income (loss) per share is calculated by dividing net income (loss) attributable to 3D Systems' common stock shareholders by the weighted average number of common shares outstanding during the applicable period. Diluted net income (loss) per share incorporates the additional shares issuable upon the assumed exercise of stock options, the vesting of restricted stock and restricted stock units, and the assumed conversion of debt, except in such case when (1) the inclusion of such shares or potential shares would be anti-dilutive or (2) when the vesting of restricted stock or restricted stock units is contingent upon one or more performance conditions that have not been met as of the balance sheet date.
| Year Ended December 31,
(in thousands, except per share amounts) | 2022 |  | 2021 |  | 2020
Numerator for basic and diluted net (loss) income per share: |  |  |  |  |
Net (loss) income attributable to 3D Systems Corporation | $ | (122,711) |  |  | $ | 322,052 |  |  | $ | (149,594) |
Redeemable non-controlling interest redemption value in excess of carrying value | (596) |  |  | — |  |  | — |
Net (loss) income attributable to common stock shareholders | $ | (123,307) |  |  | $ | 322,052 |  |  | $ | (149,594) |
Denominator for net (loss) income per share: |  |  |  |  |
Weighted average shares – basic | 127,818 |  |  | 122,867 |  |  | 117,579 |
Dilutive effect of shares issuable under stock based compensation and other plans(1) | — |  |  | 3,467 |  |  | — |
Weighted average shares – diluted | 127,818 |  |  | 126,334 |  |  | 117,579 |
Net income (loss) per share – basic | $ | (0.96) |  |  | $ | 2.62 |  |  | $ | (1.27) |
Net income (loss) per share – diluted | $ | (0.96) |  |  | $ | 2.55 |  |  | $ | (1.27) |
(1) Equity awards for the years ended December 31, 2022 and 2020 are deemed anti-dilutive because we reported a net loss for these periods. The dilutive impact of equity awards for December 31, 2021 is 2,755 shares, for which the calculation requires certain assumptions regarding assumed proceeds that would hypothetically repurchase common shares upon the conversion and exercise of restricted shares and outstanding stock options, respectively, and an estimate of 712 shares for the payment of accrued incentive compensation that was to be settled in shares. The share estimate is based on the accrued incentive compensation balance at the end of 2021 divided by the 2021 average share price. The following table presents the potentially dilutive shares that were excluded from the computation of diluted earnings (loss) per share attributable to common stockholders because their effect was considered anti-dilutive for the years ended December 31, 2022, 2021 and 2020, respectively.
| Year Ended December 31,
(in thousands) | 2022 |  | 2021 |  | 2020
Restricted stock and restricted stock units | 5,015 |  |  | 1,779 |  |  | 3,540 |
Stock options | 420 |  |  | — |  |  | 420 |
Total | 5,435 |  |  | 1,779 |  |  | 3,960 |
For the year ended December 31, 2022, the table above excludes the following: (1) an estimate of 718 shares shares contingently issuable upon the achievement of certain milestones in the Volumetric earnout arrangement discussed in Note 3; (2) an estimate of 341 shares for the payment of accrued incentive compensation that is expected to be settled in shares during the first quarter of 2023; and (3) an estimate of 22 shares related to the dp polar earnout arrangement discussed in Note 3 that are contingently issuable. These share estimates are based on the expense recognized through December 31, 2022 divided by the 2022 average share price of $12 per share. On November 16, 2021, the Company issued $460.0 million in aggregate principal amount of 0% Convertible Senior Notes due November 15, 2026, as discussed in Note 14. The Notes’ impact to diluted shares will be calculated using the if-converted method as prescribed in ASU 2020-06. The Notes will increase the diluted share count when the average share price over a quarterly or annual reporting period is greater than $35.92 per share, the conversion price of the Notes. For the years ended December 31, 2022 and 2021, the Notes were anti-dilutive on a stand-alone basis because the average share price during these periods did not exceed the conversion price, and because we had a net loss for the year ended December 31, 2022. On August 5, 2020, we entered into an Equity Distribution Agreement for an At-The-Market equity offering program (“ATM Program”) where we may issue and sell, from time to time, shares of our common stock. Our ATM Program allowed for an aggregate gross sales price of up to a total of $150,000, depending upon market conditions and our liquidity requirements, through Truist Securities, Inc. and HSBC Securities (USA) Inc. For the year ended December 31, 2020, we sold 4,616 shares of our common stock under our ATM Program for net proceeds of $24,664, net of $849 in fees, commissions and other costs. As of December 31, 2020, we had $124,487 in availability remaining under the ATM Program. On January 6, 2021, we terminated the ATM Program.

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