A vectorial solver for free-form vector gradients

Boyé, Simon; Barla, Pascal; Guennebaud, Gaël

doi:10.1145/2366145.2366192

Cited by 31 publications

(52 citation statements)

References 28 publications

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“…Pang et al [12] triangulated the image plane and interpolated color values on the triangular mesh using mean value coordinates. Boyé et al [13] improved on that approach by quadratic interpolation across triangles to solve the bi-Laplace equation. Recently, Prévost et al [14] combined a triangular representation with an extended ray tracing formulation, using cubic interpolation within each triangle, to produce highquality images.…”

Section: Related Workmentioning

confidence: 99%

Diffusion curves with diffusion coefficients

Lin

Zhang

2018

Comp. Visual Media

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Diffusion curves can be used to generate vector graphics images with smooth variation by solving Poisson equations. However, using the classical diffusion curve model, it is difficult to ensure that the generated diffusion image satisfies desired constraints. In this paper, we develop a model for producing a diffusion image by solving a diffusion equation with diffusion coefficients, in which color layers and coefficient layers are introduced to facilitate the generation of the diffusion image. Doing so allows us to impose various constraints on the diffusion image, such as diffusion strength, diffusion direction, diffusion points, etc., in a unified computational framework. Various examples are presented in this paper to illustrate the capabilities of our model.

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Section: Related Workmentioning

confidence: 99%

Diffusion curves with diffusion coefficients

Lin

Zhang

2018

Comp. Visual Media

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“…For example, it might be defined via diffusing normals as proposed in Johnston [Joh02] and in Boyé et al [BBG12]. For example, it might be defined via diffusing normals as proposed in Johnston [Joh02] and in Boyé et al [BBG12].…”

Section: Laplace Blending Function W Lmentioning

confidence: 99%

“…Figure 1 illustrates this point with a comparison between a DCI and our new representation. Unfortunately, while Bilaplace formulations can provide a lot of control for designers [FSH11,BBG12], there are significant problems associated with them. Unfortunately, while Bilaplace formulations can provide a lot of control for designers [FSH11,BBG12], there are significant problems associated with them.…”

Section: Introductionmentioning

confidence: 99%

“…Comparing the left and the right image reveals that the color range changes with the boundary geometry. Existing Bilaplace models [FSH11,BBG12] generally provide extensive sets of constraints giving lots of freedom for designers. We note that Jacobson et al [JWS12] proposed a method to bound Bilaplace functions such that the oversaturation in Figure 2 would be prevented, but the color range would still drastically change with boundary geometry.…”

Section: Introductionmentioning

confidence: 99%

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Generalized Diffusion Curves: An Improved Vector Representation for Smooth‐Shaded Images

Jeschke

2016

Computer Graphics Forum

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Figure 1: An input raster image (a) with a set of Bezier curves (b) is converted to vector graphics. (c) shows a Diffusion Curves Image (DCI) and (d) shows a generalized version of this model (GDCI) presented in this paper. The better three-dimensional appearance of the GDCI model can be noticed in the lampshade and in the wooden pieces. The GDCI in (d) can be edited just like a DCI, as is shown here in (e). AbstractThis paper generalizes the well-known Diffusion Curves Images (DCI), which are composed of a set of Bezier curves with colors specified on either side. These colors are diffused as Laplace functions over the image domain, which results in smooth color gradients interrupted by the Bezier curves. Our new formulation allows for more color control away from the boundary, providing a similar expressive power as recent Bilaplace image models without introducing associated issues and computational costs. The new model is based on a special Laplace function blending and a new edge blur formulation. We demonstrate that given some user-defined boundary curves over an input raster image, fitting colors and edge blur from the image to the new model and subsequent editing and animation is equally convenient as with DCIs. Numerous examples and comparisons to DCIs are presented.

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“…Recently however, researchers have introduced new vector primitives that offer much richer gradient capabilities. Diffusion Curves [Orzan et al 2008] and its variants [Bezerra et al 2010;Finch et al 2011;Boyé et al 2012] produce smooth gradients by interpolating colors between freeform parametric curves. Instead, gradient meshes, as available in Adobe Illustrator and CorelDraw, interpolate colors over the parametric patches of a mesh.…”

Section: Related Workmentioning

confidence: 99%

Depicting stylized materials with vector shade trees

et al. 2013

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Figure 1: We describe Vector Shade Trees that represent stylized materials as a combination of basic shade nodes composed of vector graphics primitives (a). Combining these nodes allows the depiction of a variety of materials while preserving traditional vector drawing style and practice. We integrate our vector shade trees in a vector drawing tool that allows users to apply stylized shading effects on vector line drawings (b,c). This pdf contains png versions of vector art to avoid viewer compatibility problems; full vector versions of our results are in supplemental material. Original line drawing from koconmus, openclipart.org AbstractVector graphics represent images with compact, editable and scalable primitives. Skillful vector artists employ these primitives to produce vivid depictions of material appearance and lighting. However, such stylized imagery often requires building complex multilayered combinations of colored fills and gradient meshes. We facilitate this task by introducing vector shade trees that bring to vector graphics the flexibility of modular shading representations as known in the 3D rendering community. In contrast to traditional shade trees that combine pixel and vertex shaders, our shade nodes encapsulate the creation and blending of vector primitives that vector artists routinely use. We propose a set of basic shade nodes that we design to respect the traditional guidelines on material depiction described in drawing books and tutorials. We integrate our representation as an Adobe Illustrator plug-in that allows even inexperienced users to take a line drawing, apply a few clicks and obtain a fully colored illustration. More experienced artists can easily refine the illustration, adding more details and visual features, while using all the vector drawing tools they are already familiar with. We demonstrate the power of our representation by quickly generating illustrations of complex objects and materials.

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A vectorial solver for free-form vector gradients

Cited by 31 publications

References 28 publications

Diffusion curves with diffusion coefficients

Diffusion curves with diffusion coefficients

Generalized Diffusion Curves: An Improved Vector Representation for Smooth‐Shaded Images

Depicting stylized materials with vector shade trees

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