Correction: Latest developments in node-based shape optimization using Vertex Morphing parameterization (Structural and Multidisciplinary Optimization, (2022), 65, 7, (198), 10.1007/s00158-022-03279-w)

In the original publication of the article, the author would like to update the following changes in the equations 1. After Eq. 18, the changes in bold (“where y⁽ⁱ⁾ = (Formula Presented.)f (x⁽ⁱ⁻¹⁾) − (Formula Presented.)f (x⁽ⁱ⁾) ”) to new (“where y⁽ⁱ⁾ = (Formula Presented.)f (x⁽ⁱ⁾) − (Formula Presented.)f (x⁽ⁱ⁻¹⁾)”); 2. Adding the missing equation between Eqs. 20–22. The addition of equation in bold:(Formula Presented.)3. In Chapter 4.3, in the enumerated list, part 3(b). We need to change the reference to the equation: old 20, new 23. The changes in bold new (Compute shape update Δx(i) , Eq. (23)”).Now, the original article has been updated.