Interactive Applications for Sketch-Based Editable Polycube Map

Abstract

In this paper, we propose a sketch-based editable polycube mapping method that, given a general mesh and a simple polycube that coarsely resembles the shape of the object, plus sketched features indicating relevant correspondences between the two, provides a uniform, regular, and user-controllable quads-only mesh that can be used as a basis structure for subdivision. Large scale models with complex geometry and topology can be processed efficiently with simple, intuitive operations. We show that the simple, intuitive nature of the polycube map is a substantial advantage from the point of view of the interface by demonstrating a series of applications, including kit-basing, shape morphing, painting over the parameterization domain, and GPU-friendly tessellated subdivision displacement, where the user is also able to control the number of patches in the base mesh by the construction of the base polycube.

Rethinking Texture Mapping

“…These methods aim to optimize different (and potentially conflicting metrics), such as limiting the number of cubes, limiting the number of irregular (non‐valency 4) vertices, matching the topology of the input surface, and maximizing shape similarity between the two shapes. Polycube‐map based surface parametrizations have also been used for problems other than texture mapping, such as construction of higher‐order surface representations [WHL∗08, LJFW08], reverse subdivision [XGH∗11, GXH∗13], volumetric modelling of thin shells [HXH10], shape analysis and design [XGH∗11, GXH∗13], cross‐parametrization and morphing [FJFS05, WYZ∗11] and, especially, semiregular hexahedral volume remeshing [GSZ11, FXBH16, YZWL14, HZ16] intended for physical simulations.…”

Polycube Shape Space

“…Polycube removes the detail of the original meshes and captures its global features. It has been used in many kinds of graphics applications, such as: surface texturing [THCM04], volumetric texturing [CL∗ 10], parameterization [GXH∗ 13], reconstruction [WJH∗ 08], shape morphing[FJFS05] and T‐mesh construction [LZLW15]. Many algorithms of hexahedral remeshing [GSZ11; HXH10; LVS∗ 13; HJS∗ 14; FBL16] also rely on polycube mesh heavily.…”

Robust edge-preserving surface mesh polycube deformation

“…These special shapes generalize geometry images [2], and allow geometry and texture to be stored efficiently. Due to their highly regular structure and special global parametric domain, polycubes are useful in many graphics applications, such as surface texturing [1], volume texturing [3], parameterization [4,5], reconstruction [6], hexahedral remeshing [7][8][9][10], shape morphing [11], spline construction [6,12], volumetric mapping [13,14], and T-mesh construction [15].…”