FOLD PROFILER: A MATLAB®—based program for fold shape classification

Lisle, Richard J.; Martínez, Jorge Coque; Bobillo‐Ares, Nilo C.; Menéndez, Omar; Aller, J.; Bastida, Fernando

doi:10.1016/j.cageo.2005.05.007

Cited by 22 publications

(13 citation statements)

References 13 publications

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“…The parameters s 1 and s 2 defined by Bastida et al (2005) show that most of the studied folds belong to class 1C, although some of them lie in field 1C-3, and two belong to class 1A-3 and 3-1A. This analysis has been improved by introducing other modern methods, such as those described by Lisle et al (2006) that use the h-a diagram in which the results obtained are points representing the folded surface profiles. Most of the shape fold profiles show a tendency to chevron folds although some of them tend to sinusoidal and parabolic folds.…”

Section: Discussionmentioning

confidence: 96%

“…The typical shapes of folded surface profiles (chevron, sinusoidal, parabolic, elliptic and box folds) are plotted on straight lines parallel to the y-axis. The use of the FOLD PROFILER program, a MATLAB 1 code (Lisle et al, 2006), to analyze the magnetite folds from the La Lima deposit allows us to obtain the h-a diagram in which the results obtained are points which represent the folded surface profiles. Most of the shape fold profiles show a tendency towards chevron folds although some of them tend to sinusoidal and parabolic folds (Figure 3c).…”

Section: Geometrical Characterization Of the Magnetite-rich Layers Fomentioning

confidence: 99%

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3D geological modelling of a polyphase deformed pre‐Variscan IOCG mineralization located at the southeastern border of the Ossa Morena Zone, Iberian Massif (Spain)

Gumiel¹,

Arias

Martin-Izard

2010

Geological Journal

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A previously unrecorded group of stratiform and stratabound-type magnetite beds (IOCG) has been found at the southeastern border of the Ossa Morena Zone (Variscan Massif of Spain). These mineralizations, hosted in Upper Precambrian-Lower Cambrian rocks, are located in a transpressive belt, and were strongly deformed by the Variscan Orogeny, thus showing polyphase noncoaxial folding. This folding has been recognized by the interference patterns observed in magnetite beds outcropping in old mine workings. A detailed mapping of several adits shows a Ramsay type 1 'egg box' or dome-and-basin interference pattern which arises when both D 1 (NW-SE trending) and D 2 (NE-SW trending) fold axes and axial planes are orthogonal or at a high angle to each other. An analysis of the magnetitic layers using orthogonal thickness and conic functions has been carried out to characterize fold profiles geometry.Deformation is also accommodated by oblique WNW-ESE trending thrust faults which produce centimetric to metric displacements of the magnetite beds. A 22% shortening in the NE-SW direction and 24% in the NW-SE direction has been estimated. Finally, as polyphase folding and thrust structures in three dimensions have a complex geometry, a 3D geological modelling has been carried out to obtain a better insight into the geometry of mineralized magnetite bodies.

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Section: Discussionmentioning

confidence: 96%

Section: Geometrical Characterization Of the Magnetite-rich Layers Fomentioning

confidence: 99%

3D geological modelling of a polyphase deformed pre‐Variscan IOCG mineralization located at the southeastern border of the Ossa Morena Zone, Iberian Massif (Spain)

Gumiel¹,

Arias

Martin-Izard

2010

Geological Journal

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“…Two parameters are used to analyse the geometry of folded surfaces: the aspect ratio (h ¼ y 0 /x 0 ) and the normalized area (A ¼ 2A/x 0 y 0 ) (Bastida et al, 1999(Bastida et al, , 2005Aller et al, 2004;Srivastava and Lisle, 2004;Lisle et al, 2006). The meaning of A, x 0 and y 0 is shown in Figure 2.…”

Section: Methodsmentioning

confidence: 99%

Folding in orogens: a case study in the northern Iberian Variscan Belt

et al. 2010

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Folding during the Variscan deformation in NW Iberia has been analysed from the foreland to the hinterland of the orogen using several geometrical techniques complemented by the numerical simulation of kinematical folding mechanisms with the aid of a computer program ('FoldModeler'). In the foreland, folds are related to thrusts; in the inner zones, folds can be attributed to three deformation phases. D 1 and D 2 involved deformation with horizontal foreland-directed displacements. D 1 gave rise to closed or tight folds (F 1 ) and cleavage (S 1 ); development of large recumbent F 1 folds in the hinterland required a simple shear regime and a final coaxial strain component with sub-vertical maximum shortening. Strain incompatibilities at deeper levels, together with high temperatures, favoured the concentration of ductile deformation in shear zones and development of mylonites during D 2 . Local flow instabilities generated F 2 folds that were passively amplified by a combination of simple shear, coaxial strain and area change. D 3 involved a change to a regime with dominant coaxial deformation and a sub-horizontal maximum shortening; it gave rise to upright or steeply inclined folds (F 3 ). Development of D 3 structures was heterogeneous and depended on the previous dip of the bedding and S 1 , the presence or emplacement of granitoids, the stacking of thrust sheets or the previous development of large faults bringing into contact rocks with different competence. D 3 structures are mainly concentrated in metapelitic areas and appear distributed in bands on several scales. On a small scale, tectonic banding appears associated with small folds as a result of pressure-solution processes. In areas with sub-vertical S 1 , later sub-horizontal kink bands were formed by a vertical compression.

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“…Our work is inspired by the 2D power function based representation of tectonic folding presented in [12]. Our parametric polynomial surface model is represented as:

z = \sum_{i = 1}^{m} a_{i} x^{i} + \sum_{j = 1}^{n} b_{j} y^{j}

where x, y and z are vertex coordinates, a i and b j are coefficients.…”

Section: Methodsmentioning

confidence: 99%

Parametric Representation of Cortical Surface Folding Based on Polynomials

Zhang

Nie

et al. 2009

Medical Image Computing and Computer-Assisted Intervention – MICCAI 2009

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Abstract. The development of folding descriptors as an effective approach for describing geometrical complexity and variation of the human cerebral cortex has been of great interests. This paper presents a parametric representation of cortical surface patches using polynomials, that is, the primitive cortical patch is compactly and effectively described by four parametric coefficients. By this parametric representation, the patterns of cortical patches can be classified by either model-driven approach or data-driven clustering approach. In the model-driven approach, any patch of the cortical surface is classified into one of eight primitive shape patterns including peak, pit, ridge, valley, saddle ridge, saddle valley, flat and inflection, corresponding to eight sub-spaces of the four parameters. The major advantage of this polynomial representation of cortical folding pattern is its compactness and effectiveness, while being rich in shape information. We have applied this parametric representation for segmentation of cortical surface and promising results are obtained.

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FOLD PROFILER: A MATLAB®—based program for fold shape classification

Cited by 22 publications

References 13 publications

3D geological modelling of a polyphase deformed pre‐Variscan IOCG mineralization located at the southeastern border of the Ossa Morena Zone, Iberian Massif (Spain)

3D geological modelling of a polyphase deformed pre‐Variscan IOCG mineralization located at the southeastern border of the Ossa Morena Zone, Iberian Massif (Spain)

Folding in orogens: a case study in the northern Iberian Variscan Belt

Parametric Representation of Cortical Surface Folding Based on Polynomials

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