Skinning-surface generation based on spine-curve control

Tokuyama, Yoshimasa

doi:10.1007/s003710050202

Cited by 7 publications

(3 citation statements)

References 8 publications

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“…The most common method to compute a suitable knot vector for interpolation of grid data is the technique of averaging suggested in Ref. 30, which gives also good practical results (19,31) . A generalisation of this method where the number of control points approaches the number of data points is proposed in Ref 32.…”

Section: Bilinear Interpolation -Base Surfacementioning

confidence: 99%

Shape optimisation in the design of thin-walled shells as components of aerospace structures

Espinoza

Bletzinger

Hörnlein³

et al. 2012

Aeronaut. j. (1968)

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One of the most resent efforts in aircraft design is the replacement of aluminium structures by carbon fibre reinforced polymer composites. Due to lower material and manufacturing costs, doubly curved shapes covering big areas are preferred over simpler surfaces which integrate stiffening profiles. In this context, CAD parameterisation of surfaces allows design solutions by means of classical shape optimisation. Related geometrical parameters are manipulated towards optimal design, generating innovative geometries and detailing.The presented structure is optimised by reducing the overall weight. The final optimum is guided using stability and strength restrictions in order to assure the safety of the component. Geometrical considerations are also included due to operational reasons. A hierarchical design procedure is developed which results in a work flow from preliminary 'parameter-free' form finding motivated by solving the minimal surface problem. The geometrical model for optimisation is recovered by generating B-Spline surface patches to preserve continuity requirements over large regions. The number of geometrical coefficients are defined by the accuracy in surface generation and the required freedom in surface control. The hierarchical approach reduces the possibilities of ending with an unsatisfactory optimum when several local minima characterise the non-linear problem, as it is usually the case in shape optimal design. A geometrical non-linear analysis is used to verify the performance of the optimum.

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Section: Bilinear Interpolation -Base Surfacementioning

confidence: 99%

Shape optimisation in the design of thin-walled shells as components of aerospace structures

Espinoza

Bletzinger

Hörnlein³

et al. 2012

Aeronaut. j. (1968)

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“…As mentioned by (Tokuyama, 2000), among three surface interpolation methods, i. e., interpolating through distinct point data, skinning over a family of curves and interpolating the surface simultaneously over two families of intersection curves, the skinning method is generally considered to be the most frequently used technique for surface construction. Here we use this skinning method to construct surface patches of human parts.…”

Section: Human Parts Defined With Trigonometric Seriesmentioning

confidence: 99%

Trigonometric Curve-Based Human Modeling

You

Yang

You

et al. 2011

Proceedings of the International Conference on Computer Graphics Theory and Applications

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In this paper, we present a modeling method to build human models. A human model is divided into different parts. For each part, cross-section curves are created and approximated with trigonometric series. All parts are constructed from these trigonometric curves and assembled together to create the whole human model. Since surface creation of human models is transformed into generation of cross-sectional curves and few design parameters are required to describe these cross-sectional curves, our approach can decrease the data size of geometric modeling greatly and is especially suitable for reconstruction of human models from scanned point clouds.

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“…In some special industries [3][4][5] such as ships building and garments, the products are often made from planar patterns by stamping or sewing, given these manufacturing considerations, the product shape should be developable. NURBS parametric surface modeling method [6][7][8][9] is difficult to integrate into the developable surface constraint, thus recently, some researchers try to use discrete method to approximately represent developable surface, which can be greatly simplified. To the best of our knowledge, there is none literature which studies the lofting developable surface.…”

Section: Introductionmentioning

confidence: 99%

Modeling Developable Mesh Surface by Lofting

Chen

2012

AMR

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In the metal building and garment industries, product model is required to be or closed to be developable surface (can be flattened onto planar patterns without any distortion, tear or stretch).Current work mainly focuses on interpolating only two curves with a narrow developable strip, and lose the generality of applications in industries, which often require N (N>2) curves to determine the final shape feature, and seek one interpolated developable surface. In this paper, a new developability degree criterion is introduced first and a novel lofting algorithm is proposed to model a quasi-developable mesh surface for the given characteristic curves. The curves are first adaptively sampled and then planar triangles are tiled to interpolate all sampling points. The optimal triangulation in terms of given criterion is mapped as one shortest-path finding graph problem, which can be solved by using well-known Dijkstra’s algorithm.

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Skinning-surface generation based on spine-curve control

Cited by 7 publications

References 8 publications

Shape optimisation in the design of thin-walled shells as components of aerospace structures

Shape optimisation in the design of thin-walled shells as components of aerospace structures

Trigonometric Curve-Based Human Modeling

Modeling Developable Mesh Surface by Lofting

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