Approximate conversion of a rational boundary gregory patch to a nonuniform B-spline surface

Tokuyama, Yoshimasa; Konno, Kouichi

doi:10.1007/bf01909876

Cited by 2 publications

(13 citation statements)

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“…Tokuyama et al proposed the method of fitting a surface by surface fitting method [10]. The method of Tokuyama et al uses the boundary curves of a Bspline surface that covers an N-sided region and sample points.…”

Section: Methods Of Covering a Region With A B-spline Surfacementioning

confidence: 99%

“…Next the trimmed surface generation method is detailed. Tokuyama et al proposed the method of fitting a bicubic B-spline surface to an N-sided region [10]. The method [10] applies a bicubic B-spline surface to a quadrilateral region enclosed with freeform boundary curves.…”

Section: Introductionmentioning

confidence: 99%

“…Tokuyama et al proposed the method of fitting a bicubic B-spline surface to an N-sided region [10]. The method [10] applies a bicubic B-spline surface to a quadrilateral region enclosed with freeform boundary curves. When a B-spline surface is generated, four boundary curves are generated first, and according to the tangent plane on each of the boundary curves, point clouds are generated onto the tangent plane outside the quadrilateral region.…”

Section: Introductionmentioning

confidence: 99%

“…Then, using the four boundary curves and the generated point clouds, the internal control points are calculated for the B-spline surface. The method [10] can be applied to an arbitrary N-sided region composed of convex vertices. If, however, the method is applied to a region with a concave, the generated surface will be distorted.…”

Section: Introductionmentioning

confidence: 99%

“…1: JIS sample shape model [2] though the surface includes holes or concave shapes. To be more concrete, the Tokuyama's method [10] is enhanced with the following two operations so that a surface can be generated to a region with holes or concave shapes:…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Curve Mesh Modeling Method of Trimmed Surfaces for Direct Modeling

祐太¹,

晃市²,

喜政

et al. 2011

The Journal of the Society for Art and Science

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In the shape modeling with 3D CAD systems, the trimmed surface is quite popular. For instance, Japanese Industrial Standards (JIS) models contain a lot of notches, expressed using trimmed surfaces. Since trimmed surfaces are directly modified in direct modeling, it has a big restriction in the shape modification. It is effective to apply a new free-form surface to a closed region composed of the modified edges because the consistency of a trimmed surface can be maintained. This paper proposes the method of fitting a free-form surface by using the offset curve. To be more concrete, an offset curve is generated according to the tangent planes and a point cloud is generated. After that, a B-spline surface is generated using the generated point clouds and the boundary curves, so that a new trimmed surface is generated. Our method is effective for direct modeling that directly modifies the boundary edges of the trimmed surface representing a notch shape.

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Section: Methods Of Covering a Region With A B-spline Surfacementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%