The acquisition of triangular meshes typically introduces undesired noise. Mesh denoising is a geometry processing task to remove this kind of distortion. To preserve the geometric fidelity of the desired mesh, a mesh denoising algorithm must preserve true details while removing artificial high-frequencies from the surface. Several algorithms were proposed to address this problem using a bilateral filtering scheme. In this work, we propose a two-step algorithm which uses adaptive patches and bilateral filtering to denoise the normal field, and then update vertex positions fitting the faces to the denoised normals. The computation of the adaptive patches is our main contribution. We formulate this computation as local quadratic optimization problems that we can control to obtain a desired behavior of the patch. We compared our proposal with several algorithms proposed in the literature using synthetic and real data.