1. What contributions have the authors mentioned in the paper "Digital surface regularization with guarantees" ?
In this article, the authors consider a variational approach to reconstruct interfaces in multi-labeled digital images.
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2. What have the authors stated for future works in "Digital surface regularization with guarantees" ?
An interesting future work would consist in estimating the normal vectors on GPU and thus in being able to visualize smooth surfaces while interactively modifying the voxel geometry.
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3. How can the authors obtain a piecewise smooth anisotropic normal vector bundle?
From an estimated input normal vector field, the authors can obtain a piecewise smooth anisotropic normal vector bundle using voting or variational approaches [41], [42].
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4. What is the recent technique to denoise a mesh?
Most recent techniques consider variational formulations on the vertices positions or the normal vector field to denoise a mesh while preserving its features [32]–[36].
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![TABLE 1 Performances. The normal vector fields have been extracted using [53] (with radius r = 4). The precomputation step consists in preparing the linear operator encoding the regularization problem. For the iterative solver on GPU, timings have been obtained with the following stopping criterion: ‖∇E‖2 < 10−3 (timings are given in seconds)](/figures/table-1-performances-the-normal-vector-fields-have-been-ycnu9x2k.webp)