Reconstruction and Semi-Transparent Display Method for Observing Inner Structure of an Object Consisting of Multiple Surfaces

Kaneda, Kazufumi; Harada, Koichi; Nakamae, Eihachiro; Yasuda, Mineo; Sato, Akinao

doi:10.1007/978-4-431-68057-4_23

Cited by 9 publications

(4 citation statements)

References 5 publications

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“…This algorithm is still based on local constraints only and it cannot avoid defective triangles completely. To remedy this, Kaneda et al (1987) added another condition to Christiansen's method: for each triangle edge, the shortest of the possible candidates is selected. It cannot, however, always be satisfied.…”

Section: Heuristic Approach To Finding the Optimal Pathmentioning

confidence: 99%

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The homotopy model: a generalized model for smooth surface generation from cross sectional data

Shinagawa

Kunii

1991

The Visual Computer

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A generalized model, called the homotopy model, is presented to reconstruct surfaces from cross-sectional data of objects using a homotopy to generate surfaces connecting consecutive contours. The homotopy model consists of continuous toroidal graph representation and homotopic generation of surfaces from the representation. It is shown that the homotopy model includes triangulation as a special case and generates smooth parametric surfaces from contour-line definitions using homotopy. The model can be applied to contours represented by parametric curves as well as linear line segments. First, a heuristic method that finds the optimal path on the toroidal graph is presented. Then the toroidal graph is expanded to a continuous version. Finally, homotopy is used for reconstructing parametric surfaces from the toroidal graph representation. A loft surface is also a special case of homotopy, a straight-line homotopy. Homotopy that corresponds to the cardinal spline surface is also introduced. Three-dimensional surface reconstruction of human auditory ossicles illustrates the advantages of the homotopy model over the others.

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Section: Heuristic Approach To Finding the Optimal Pathmentioning

confidence: 99%

“…Their method was based on local constraints only. Kaneda et al (1987) proposed the addition of another condition to the shortest diagonal algorithm to remedy this problem. Because this condition cannot always be satisfied, the algorithm is still greedy.…”

Section: Introductionmentioning

confidence: 99%

The homotopy model: a generalized model for smooth surface generation from cross sectional data

Shinagawa

Kunii

1991

The Visual Computer

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“…The idea of using a topological object description to direct the process of reconstructing 3D surfaces from a stack of sections is not new. For instance, Kaneda et al (1987) described a hierarchical data structure, which can be used for this purpose. Each object is divided into sub-objects containing a succession of contours.…”

Section: Introductionmentioning

confidence: 99%

“…A major advantage of our data structure is that objects do not have to be divided manually into sub-objects. The main application of the hierarchical data structure suggested by Kaneda et al (1987) was to reconstruct 3D surfaces automatically independent of shape complexity, i.e., branching and objects contained within objects. The topological descriptions were used to avoid ambiguities and the surfaces were created by triangulation, based on the method suggested by Christiansen and Sederberg (1978).…”

Section: Introductionmentioning

confidence: 99%

Graph-directed modelling from serial sections

Giertsen¹,

Halvorsen

Flood

1990

The Visual Computer

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We propose a general 3D-surface reconstruction technique for objects defined in terms of contours in a stack of serial sections. It is built around a data structure, in which the topology of the objects is represented as a set of disconnected graphs. The basic idea is to let the topological information direct the reconstruction process. There are several advantages with this approach. The alignment of the stack of sections is computed automatically. This operation does not depend on artificial reference points, such as fiduciary marks introduced by laser-beam penetration of a biological sample prior to sectioning. Furthermore, the unknown surfaces between successive sections can be created automatically, even though the sections contain a large number of arbitrarily shaped contours that are clustered or perhaps partly overlapped. If present, 3D irregularities in the surface model can be reduced in a controlled manner.

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Surface Interpolation from Cross Sections

Müller¹,

Klingert²

1993

Computer Graphics: Systems and Applications

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Reconstruction and Semi-Transparent Display Method for Observing Inner Structure of an Object Consisting of Multiple Surfaces

Cited by 9 publications

References 5 publications

The homotopy model: a generalized model for smooth surface generation from cross sectional data

The homotopy model: a generalized model for smooth surface generation from cross sectional data

Graph-directed modelling from serial sections

Surface Interpolation from Cross Sections

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