Fabrication (FFF) technology, since most printers in this category can deposit along slightly curved paths, under deposition slope and thickness constraints. Our algorithm curves the layers, making them either follow the natural slope of the input surface or on the contrary, make them intersect the surfaces at a steeper angle thereby improving the sampling quality. Rather than directly computing curved layers, our algorithm optimizes for a deformation of the model which is then sliced with a standard planar approach. We demonstrate that this approach enables us to encode all fabrication constraints, including the guarantee of generating collision-free toolpaths, in a convex optimization that can be solved using a QP solver. We produce a variety of models and compare print quality between curved deposition and planar slicing. CCS Concepts: • Computing methodologies → Shape modeling.
Figure 1: Our technique generates band patterns following a parametric field, while adapting the density of bands per unit. Each band is uniquely identified (left) which affords for robust extraction of border trajectories and center lines (middle). The method is procedural which allows a wide range of dynamic shader effects, such as textile patterns that adapts to stretch (right). Contrary to classical subdivision approaches, our approach introduces new bands with a non power of two factor, allowing a more progressive gradation. ABSTRACTWe seek to cover a parametric domain with a set of evenly spaced bands which number and width varies according to a density field. We propose an implicit procedural algorithm, that generates the band pattern from a pixel shader and adapts to changes to the control fields in real time. Each band is uniquely identified by an integer. This allows a wide range of texturing effects, including specifying a different appearance in each individual bands. Our technique also affords for progressive gradations of scales, avoiding the abrupt doubling of the number of lines of typical subdivision approaches. This leads to a general approach for drawing bands, drawing splitting and merging curves, and drawing evenly spaced streamlines. Using these base ingredients, we demonstrate a wide variety of texturing effects.
Fig. 1. Our technique generates dense planar infill trajectories, precisely following an input direction field. Through the anisotropy of the deposition process, the direction field controls the appearance and the physical properties of the 3D printed object. The trajectories are arranged in a staggered layout across layers. Left: A 3D printed gear where the direction of the trajectories is parameterized to adapt to the functionality of the part. Here, trajectories are mostly circular in the rim and hub while being aligned with the spokes. Note the staggered layout in the side views. Right: The anisotropy of the deposition results in anisotropy in the specular reflectance.Here, this is controlled to pattern the appearance of an otherwise flat part, resulting in a brushed metal effect.Additive manufacturing is typically conducted in a layer-by-layer fashion. A key step of the process is to define, within each planar layer, the trajectories along which material is deposited to form the final shape. The direction of these trajectories triggers an anisotropy in the fabricated parts, which directly affects their properties, from their mechanical behavior to their appearance. Controlling this anisotropy paves the way to novel applications, from stronger parts to controlled deformations and surface patterning.This work introduces a method to generate trajectories that precisely follow an input direction field while simultaneously avoiding intra-and inter-layer defects. Our method results in spatially coherent trajectories -all follow the specified direction field throughout the layers -while providing precise control over their inter-layer arrangement. This allows us to generate a staggered layout of trajectories across layers, preventing unavoidable tiny gaps from forming tunnel-shaped voids throughout a part volume.Our approach is simple, robust, easy to implement, and scales linearly with the input volume. It builds upon recent results in procedural generation of oscillating patterns, generating a signal in the 3D domain that oscillates with a frequency matching the deposition beads width while following the input direction field. Trajectories are extracted with a process akin to a marching square.
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