Feature Line Extraction on Meshes Through Vertex Marking and 2d Topological Operators

Kudelski, Dimitri; Viseur, Sophie; Scrofani, Giovanni; Mari, Jean-Luc

doi:10.1142/s0219467811004226

Cited by 8 publications

(3 citation statements)

References 38 publications

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“…Representative sampling down to the lineament resolution limit is not feasible if only for the immense number of fractures. Tracing fractures with (semi)automatic procedures [ Gillespie et al ., ; Kudelski et al ., ] certainly helps future work but require substantial filtering and editing by a geological trained “eye” especially to determine fracture termination (i.e., abutments) and intersection relationships which are critical for subsequent evaluation of fluid flow or mechanical response.…”

Section: Data Acquisition and Processingmentioning

confidence: 99%

Multiscale fracture network characterization and impact on flow: A case study on the Latemar carbonate platform

et al. 2015

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A fracture network arrangement is quantified across an isolated carbonate platform from outcrop and aerial imagery to address its impact on fluid flow. The network is described in terms of fracture density, orientation, and length distribution parameters. Of particular interest is the role of fracture cross connections and abutments on the effective permeability. Hence, the flow simulations explicitly account for network topology by adopting Discrete‐Fracture‐and‐Matrix description. The interior of the Latemar carbonate platform (Dolomites, Italy) is taken as outcrop analogue for subsurface reservoirs of isolated carbonate build‐ups that exhibit a fracture‐dominated permeability. New is our dual strategy to describe the fracture network both as deterministic‐ and stochastic‐based inputs for flow simulations. The fracture geometries are captured explicitly and form a multiscale data set by integration of interpretations from outcrops, airborne imagery, and lidar. The deterministic network descriptions form the basis for descriptive rules that are diagnostic of the complex natural fracture arrangement. The fracture networks exhibit a variable degree of multitier hierarchies with smaller‐sized fractures abutting against larger fractures under both right and oblique angles. The influence of network topology on connectivity is quantified using Discrete‐Fracture‐Single phase fluid flow simulations. The simulation results show that the effective permeability for the fracture and matrix ensemble can be 50 to 400 times higher than the matrix permeability of 1.0 · 10−14 m2. The permeability enhancement is strongly controlled by the connectivity of the fracture network. Therefore, the degree of intersecting and abutting fractures should be captured from outcrops with accuracy to be of value as analogue.

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Section: Data Acquisition and Processingmentioning

confidence: 99%

Multiscale fracture network characterization and impact on flow: A case study on the Latemar carbonate platform

et al. 2015

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“…Therefore, several drawbacks have been pointed out, which mainly lead to unexpectedly disconnected skeletons [5]. Kudelski et al have later proposed a modified algorithm that produces topologically robust skeletons by generalizing the notion of morphological erosion to arbitrary meshes [7,6]. This approach takes, as an input, a subset lying on a triangulated surface mesh in 3D, and as outputs, thin lines corresponding to the skeleton obtained by homotopic thinning.…”

Section: Context Problem and Related Workmentioning

confidence: 99%

Dual-Primal Skeleton: A Thinning Scheme for Vertex Sets Lying on a Surface Mesh

Lobello

Mari

2019

Lecture Notes in Computer Science

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We present a new algorithm for the skeletonization of shapes lying on surface meshes, which is based on a thinning scheme with a granularity that is twice as fine as that of other thinning methods, since the proposed approach uses dual-primal iterations in the region of interest to perform the skeleton extraction. This dual operator is built on specific construction rules, and it is applied until idempotency, which provides a better geometric positioning of the skeleton compared to other thinning methods. Moreover, the skeleton has the property of ensuring the same topological guarantees as other homotopic thinning approaches: the skeleton is thin, connected and can include Y-branches and cycles if the input region contains holes.

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“…First, regions where the maximum curvature exceeds a threshold are labelled as “curved”. These regions are then thinned to a curve skeleton representing the feature curve structure of the surface [RKS00, KVSM11, NSP10]. Also, a dual strategy can be followed: patches are grown on the surface, and the boundaries where these patches meet are defined to be feature curves [NSP10].…”

Section: Related Workmentioning

confidence: 99%

Scale‐Invariant Directional Alignment of Surface Parametrizations

Campen

Ibing

Ebke

et al. 2016

Computer Graphics Forum

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Various applications of global surface parametrization benefit from the alignment of parametrization isolines with principal curvature directions. This is particularly true for recent parametrization‐based meshing approaches, where this directly translates into a shape‐aware edge flow, better approximation quality, and reduced meshing artifacts. Existing methods to influence a parametrization based on principal curvature directions suffer from scale‐dependence, which implies the necessity of parameter variation, or try to capture complex directional shape features using simple 1D curves. Especially for non‐sharp features, such as chamfers, fillets, blends, and even more for organic variants thereof, these abstractions can be unfit. We present a novel approach which respects and exploits the 2D nature of such directional feature regions, detects them based on coherence and homogeneity properties, and controls the parametrization process accordingly. This approach enables us to provide an intuitive, scale‐invariant control parameter to the user. It also allows us to consider non‐local aspects like the topology of a feature, enabling further improvements. We demonstrate that, compared to previous approaches, global parametrizations of higher quality can be generated without user intervention.

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Feature Line Extraction on Meshes Through Vertex Marking and 2d Topological Operators

Cited by 8 publications

References 38 publications

Multiscale fracture network characterization and impact on flow: A case study on the Latemar carbonate platform

Multiscale fracture network characterization and impact on flow: A case study on the Latemar carbonate platform

Dual-Primal Skeleton: A Thinning Scheme for Vertex Sets Lying on a Surface Mesh

Scale‐Invariant Directional Alignment of Surface Parametrizations

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