A three-dimensional (3D) remeshing apparatus includes a curved surface geometry module for calculating one or more geometric elements, including a normal and a curvature, based on data of an input mesh, a vertex grouping module for grouping vertices of the mesh into a general group, an edge group, and an apex group using information of the curvature calculated by the curved surface geometry module, and a projection module for searching for one or more tangent planes corresponding to one or more of the vertices grouped by the vertex grouping module, projecting one or more corresponding vertices on each of the tangent planes, and restoring one or more edges of the input mesh.