Flow Visualization with Density Control

Liu, Shiguang; Song, Hange

doi:10.1007/978-3-030-61864-3_26

Cited by 1 publication

(1 citation statement)

References 15 publications

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“…Visualization techniques for prescribed density and directionality fields are another option to reproduce an image [TB96]. The techniques are either based on tracing the streamlines directly [JL97, MAD05, LS20] or through a generative noise function [LH06, LLD10]. The image‐based methods can be further extended to trace the streamlines on meshes [CDS10, SLCZ09, KCPS13] or utilize curve‐based [TWY * 20] or image‐based [HWYZ20] primitives.…”

Section: Related Workmentioning

confidence: 99%

Directionality‐Aware Design of Embroidery Patterns

Liu

Piovarči

Hafner

et al. 2023

Computer Graphics Forum

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Embroidery is a long‐standing and high‐quality approach to making logos and images on textiles. Nowadays, it can also be performed via automated machines that weave threads with high spatial accuracy. A characteristic feature of the appearance of the threads is a high degree of anisotropy. The anisotropic behavior is caused by depositing thin but long strings of thread. As a result, the stitched patterns convey both color and direction. Artists leverage this anisotropic behavior to enhance pure color images with textures, illusions of motion, or depth cues. However, designing colorful embroidery patterns with prescribed directionality is a challenging task, one usually requiring an expert designer. In this work, we propose an interactive algorithm that generates machine‐fabricable embroidery patterns from multi‐chromatic images equipped with user‐specified directionality fields. We cast the problem of finding a stitching pattern into vector theory. To find a suitable stitching pattern, we extract sources and sinks from the divergence field of the vector field extracted from the input and use them to trace streamlines. We further optimize the streamlines to guarantee a smooth and connected stitching pattern. The generated patterns approximate the color distribution constrained by the directionality field. To allow for further artistic control, the trade‐off between color match and directionality match can be interactively explored via an intuitive slider. We showcase our approach by fabricating several embroidery paths.

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