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Goodwill and Long-lived Assets | 6 Months Ended
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Jun. 30, 2022
Notes To Financial Statements [Abstract] |
Goodwill and Intangible Assets | Goodwill and Intangible Assets Goodwill The change in the carrying value of goodwill for the six months ended June 30, 2022, categorized by reportable segments, is as follows (in thousands):
| Clear Aligner |  | Systems and Services |  | Total
Balance as of December 31, 2021 | $ | 112,208 |  |  | $ | 306,339 |  |  | $ | 418,547 |
Foreign currency translation adjustments | (3,804) |  |  | (24,643) |  |  | (28,447) |
Balance as of June 30, 2022 | $ | 108,404 |  |  | $ | 281,696 |  |  | $ | 390,100 |
Intangible Long-Lived Assets Acquired intangible long-lived assets were as follows, excluding intangibles that were fully amortized (in thousands):
| Weighted Average Amortization Period (in years) |  | Gross Carrying Amount as of June 30, 2022 |  | Accumulated Amortization |  | Accumulated Impairment Loss |  | Net Carrying Value as of June 30, 2022
Existing technology | 10 |  | $ | 104,531 |  |  | $ | (27,640) |  |  | $ | (4,328) |  |  | $ | 72,563 |
Customer relationships | 10 |  | 21,500 |  |  | (4,838) |  |  | — |  |  | 16,662 |
Trademarks and tradenames | 10 |  | 17,200 |  |  | (5,466) |  |  | (4,179) |  |  | 7,555 |
Patents | 8 |  | 6,511 |  |  | (4,891) |  |  | — |  |  | 1,620 |
|  |  | $ | 149,742 |  |  | $ | (42,835) |  |  | $ | (8,507) |  |  | 98,400 |
Foreign currency translation adjustments |  |  |  |  |  |  |  |  | (4,583) |
Total intangible assets, net 1 |  |  |  |  |  |  |  |  | $ | 93,817 |
1 Also includes $33.5 million of fully amortized intangible assets related to customer relationships.
| Weighted Average Amortization Period (in years) |  | Gross Carrying Amount as of December 31, 2021 |  | Accumulated Amortization |  | Accumulated Impairment Loss |  | Net Carrying Value as of December 31, 2021
Existing technology | 10 |  | $ | 104,531 |  |  | $ | (22,495) |  |  | $ | (4,328) |  |  | $ | 77,708 |
Customer relationships | 11 |  | 55,000 |  |  | (25,891) |  |  | (10,751) |  |  | 18,358 |
Trademarks and tradenames | 10 |  | 17,200 |  |  | (4,547) |  |  | (4,179) |  |  | 8,474 |
Patents | 8 |  | 6,511 |  |  | (4,495) |  |  | — |  |  | 2,016 |
|  |  | $ | 183,242 |  |  | $ | (57,428) |  |  | $ | (19,258) |  |  | 106,556 |
Foreign currency translation adjustments |  |  |  |  |  |  |  |  | 3,153 |
Total intangible assets, net |  |  |  |  |  |  |  |  | $ | 109,709 |
The total estimated annual future amortization expense for these acquired intangible assets as of June 30, 2022 is as follows (in thousands):
Fiscal Year Ending December 31, |  | Amortization
Remainder of 2022 |  | $ | 7,536 |
2023 |  | 14,997 |
2024 |  | 13,831 |
2025 |  | 13,455 |
2026 |  | 12,849 |
Thereafter |  | 35,732 |
Total |  | $ | 98,400 |
Amortization expense for both the three months ended June 30, 2022 and 2021 was $3.9 million and amortization expense for the six months ended June 30, 2022 and 2021 was $8.2 million and $7.8 million, respectively.

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- Definition The entire disclosure for goodwill and intangible assets. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -URI https://asc.fasb.org/topic&trid=2144416 + Details
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