QuadMixer

Abstract

We propose QuadMixer, a novel interactive technique to compose quad mesh components preserving the majority of the original layouts. Quad Layout is a crucial property for many applications since it conveys important information that would otherwise be destroyed by techniques that aim only at preserving shape. Our technique keeps untouched all the quads in the patches which are not involved in the blending. We first perform robust boolean operations on the corresponding triangle meshes. Then we use this result to identify and build new surface patches for small regions neighboring the intersection curves. These blending patches are carefully quadrangulated respecting boundary constraints and stitched back to the untouched parts of the original models. The resulting mesh preserves the designed edge flow that, by construction, is captured and incorporated to the new quads as much as possible. We present our technique in an interactive tool to show its usability and robustness.

The 3D Motorcycle Complex for Structured Volume Decomposition

“…In this setting the mesh's edges provide the directional information guiding the motorcycles across the surfaces. This quad mesh driven motorcycle graph has been employed in further contexts, for reverse engineering [GMSO14], texture mapping [SPGT18], computational fabrication [LLZ ∗ 20], and quadrilateral remeshing [NHE ∗ 19, RP17].…”

“…It has been exploited in recent years (see Sec. 2) for scenarios like generation of quad meshes [MPZ14], localized structured remeshing [NHE ∗ 19], quantization of global parametrizations [CBK15], construction of T‐spline spaces [CZ17], texture mapping of surfaces [SPGT18], mesh‐based computational fabrication [LLZ ∗ 20]. …”

Cost Minimizing Local Anisotropic Quad Mesh Refinement

“…With QuadMixer, Nuvoli et al [NHE∗19] locally modify quad meshes by replacing regions of one quad mesh with a region of another one. The structure of the input mesh patches remains unchanged with the exception of a transition region between the two parts.…”