CIECAM02 has gained significant interest within the field of color management for its potential in achieving uniform perceptual color space. However, researchers have identified difficulties in adopting CIECAM02 directly in an ICC workflow as the profile connection space, PCS, because of the nonlinear post-adaptation response functions as well as the perceptual characteristic functions. In this paper, we will address the slight inconsistency in the CIECAM02 derivation under complete illumination adaptation, and a minimized modification on the Hunt-Pointer-Estevez transformation is derived to overcome this difficulty. Furthermore, a robust computation procedure will be suggested to alleviate certain singularities occurring in the original numerical implementation. Finally, we will verify our proposed implementation and compare with the standard procedure within the scheme of the ICC workflow.