Snakes on Triangle Meshes

Bischoff, Stephan; Weyand, Tobias; Kobbelt, Leif

doi:10.1007/3-540-26431-0_43

Cited by 29 publications

(22 citation statements)

References 5 publications

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“…On surfaces, embedded elastica can be found using various methods of variational nature, like Active Contour and Snake models [Lee and Lee 2002;Bischoff et al 2005] or the constrained spline optimization of [Hofer and Pottmann 2004]. These methods require an initialization and then strive to find a local optimum in the same homotopy class as the initial curve or loop 1 .…”

Section: Elastica Loopsmentioning

confidence: 99%

Dual strip weaving

Campen

Kobbelt

2014

ACM Trans. Graph.

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Figure 1: Overview of our Dual Strip Weaving approach for the design of quadrilateral patch layouts. a) When hovering over the object, the user is immediately presented with the best elastica strip (visualized using a stripe pattern) at the current pointer position. It can be selected and fixed with a single click. b) Fixed strips (blue) constrain the design space; only compatible strips are offered next (green). c) Indicators based on color-coding and stripe patterns guide the user to regions where modifications are recommended for the benefit of layout quality. d) Finally, the implied quad layout structure is derived from a collection of strips. The accompanying video shows the entire process. AbstractWe introduce Dual Strip Weaving, a novel concept for the interactive design of quad layouts, i.e. partitionings of freeform surfaces into quadrilateral patch networks. In contrast to established tools for the design of quad layouts or subdivision base meshes, which are often based on creating individual vertices, edges, and quads, our method takes a more global perspective, operating on a higher level of abstraction: the atomic operation of our method is the creation of an entire cyclic strip, delineating a large number of quad patches at once. The global consistency-preserving nature of this approach reduces demands on the user's expertise by requiring less advance planning. Efficiency is achieved using a novel method at the heart of our system, which automatically proposes geometrically and topologically suitable strips to the user. Based on this we provide interaction tools to influence the design process to any desired degree and visual guides to support the user in this task.

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Section: Elastica Loopsmentioning

confidence: 99%

Dual strip weaving

Campen

Kobbelt

2014

ACM Trans. Graph.

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“…We let surface snakes evolve on the mesh as proposed by Bischoff et al [43] to gain the patches. We employ surface snakes following the predicted patch labels to collect the connected vertices and faces of every patch label, and to establish an explicit representation of the boundary of each patch.…”

Section: Adaptive Patchesmentioning

confidence: 99%

“…We employ surface snakes following the predicted patch labels to collect the connected vertices and faces of every patch label, and to establish an explicit representation of the boundary of each patch. Our surface snakes do not evolve iteratively and do not move according to a velocity, in contrast to the snakes described by Bischoff et al [43]. Our surface snakes evolve recursively and move the full length of an edge per recursion.…”

Section: Adaptive Patchesmentioning

confidence: 99%

Interactive example-based hatching

Gerl

Isenberg

2013

Computers & Graphics

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a b s t r a c tWe present an approach for interactively generating pen-and-ink hatching renderings based on handdrawn examples. We aim to overcome the regular and synthetic appearance of the results of existing methods by incorporating human virtuosity and illustration skills in the computer generation of such imagery. To achieve this goal, we propose to integrate an automatic style transfer with user interactions. This approach leverages the potential of example-based hatching while giving users the control and creative freedom to enhance the aesthetic appearance of the results. Using a scanned-in hatching illustration as input, we use image processing and machine learning methods to learn a model of the drawing style in the example illustration. We then apply this model to semi-automatically synthesize hatching illustrations of 3D meshes in the learned drawing style. In the learning stage, we first establish an analytical description of the hand-drawn example illustration using image processing. A 3D scene registered with the example drawing allows us to infer object-space information related to the 2D drawing elements. We employ a hierarchical style transfer model that captures drawing characteristics on four levels of abstraction, which are global, patch, stroke, and pixel levels. In the synthesis stage, an explicit representation of hatching strokes and hatching patches enables us to synthesize the learned hierarchical drawing characteristics. Our representation makes it possible to directly and intuitively interact with the hatching illustration. Amongst other interactions, users of our system can brush with patches of hatching strokes onto a 3D mesh. This interaction capability allows illustrators who are working with our system to make use of their artistic skills. Furthermore, the proposed interactions allow people without a background in hatching to interactively generate visually appealing hatching illustrations.

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“…Moreover, snakes are given the ability to change their topology, thus allowing a given snake to split into multiple separate ones when appropriate. Based on this framework of parameterisation-free active contour models, a new representation and method for evolving snakes on triangular meshes is proposed in Bischoff et al (2005). In this method, collision detection is enabled and topological controls such as snake merging and splitting is supported constraining the vertices of the snakes to move along mesh edges.…”

Section: Th International Symposium On Automation and Robotics In Conmentioning

confidence: 99%

A 3D Snake Approach for Extracting Plans of Heritage Buildings

Llamas¹,

Melero²,

Zalama³

et al. 2010

Proceedings -- The 27th International Symposium on Automation and Robotics in Construction

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A comprehensive documentation of construction surveying is always desirable and, in the case of cultural heritage, imperative. Detailed layouts of heritage constructions help the understanding of the historical development of the building, however, drawing these plans is, usually, a manual process. In this paper, we present a new approach for obtaining accurate plans that include stone by stone drawings using 3D models. The proposed method overcomes the manual detection and drawing of features and individual stones. The approach works on 3D snakes (energy-minimizing active contour models) and on the detection of feature lines upon a surface curvature analysis. Our method can be applied to 3D meshes obtained with different techniques, but we have focused on 3D laser scanner techniques, which provide large amount of data quickly and accurately. Experimental results obtained on a romanesque church in Spain, are also given to illustrate the usefulness of the approach.

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Snakes on Triangle Meshes

Cited by 29 publications

References 5 publications

Dual strip weaving

Dual strip weaving

Interactive example-based hatching

A 3D Snake Approach for Extracting Plans of Heritage Buildings

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