Surface slicing algorithm based on topology transition

Jun, Cha-Soo; Kim, Dong-Soo; Kim, Deok-Soo; Lee, Hyunchan; Hwang, Ji Seon; Chang, Tien‐Chien

doi:10.1016/s0010-4485(01)00098-7

Cited by 16 publications

(13 citation statements)

References 18 publications

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“…In this respect, an example has been taken from Jun et al (2001) and the proposed algorithm has been used to find out x Slice ht=0 y the intersections between the surface and parallel horizontal planes. In Figures 4 and 5 some of the salient features like self-intersections, crests and crevices, closed intersection loops could be detected.…”

Section: Resultsmentioning

confidence: 99%

A semi‐analytic approach for direct slicing of free form surfaces for layered manufacturing

Chakraborty

Choudhury

2007

Rapid Prototyping Journal

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If you would like to write for this, or any other Emerald publication, then please use our Emerald for Authors service information about how to choose which publication to write for and submission guidelines are available for all. Please visit www.emeraldinsight.com/authors for more information. About Emerald www.emeraldinsight.comEmerald is a global publisher linking research and practice to the benefit of society. The company manages a portfolio of more than 290 journals and over 2,350 books and book series volumes, as well as providing an extensive range of online products and additional customer resources and services.Emerald is both COUNTER 4 and TRANSFER compliant. The organization is a partner of the Committee on Publication Ethics (COPE) and also works with Portico and the LOCKSS initiative for digital archive preservation. AbstractPurpose -This paper aims to develop an efficient surface-plane intersection (SPI) algorithm for direct slicing of free-form surfaces to be produced by layered manufacturing. Design/methodology/approach -A semi-analytical method for direct slicing has been formulated and tested on Bezier and B-spline surfaces commonly used in CAD modeling. This method solves for the intersection points by a "root" finding procedure and establishes their connectivity, unlike the conventional "marching" procedures. Findings -The proposed algorithm solves intersection contours between free form surfaces and planes. The solution procedure is efficient with respect to computational time and accuracy (feature detection) over some of the conventional SPI strategies. The method involves a global solution procedure in contention with the traditional methodologies which are generally spatially distinctive in approach.Research limitations/implications -Use of higher order terms in the representation of parametric surfaces makes the algorithm computationally intensive and time-expensive. Practical implications -This algorithm would be of practical use in the direct slicing of free form surfaces used in CAD modeling. Direct slicing methods solve for the actual intersection of surface and plane without resorting to "tessellation." Reducing the computation time and detection of features within a given resolution is of primary importance for developing commercial rapid prototyping software, which is achieved in the present paper. Originality/value -A novel method has been developed for SPI for use in direct slicing of CAD models. While a major proportion of the direct slicing strategies employ the "marching" procedure involving determination of "critical points," the proposed method utilizes the evaluation of "roots" of a surface in a global manner to determine the intersection points with proper connectivity. Hence, it is effective in reducing the computation time and is simple but generic in approach. Although Bezier and B-spline surfaces are used as the representative cases, the algorithm can be extended for any parametric surface for direct slicing.

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Section: Resultsmentioning

confidence: 99%

A semi‐analytic approach for direct slicing of free form surfaces for layered manufacturing

Chakraborty

Choudhury

2007

Rapid Prototyping Journal

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“…Calculating the intersection curve between a ruled surface and a plane is an inevitable problem in the technical fields of CAD/CAM, for instance, the surface trimming in geometric modeling, surface slicing in rapid prototyping manufacturing and direction-paralleled tool path planning in NC machining, etc. Since the ruled surface has the geometric features of the sculptured surface, in most existing literature, the intersection of a ruled surface with a plane is usually treated as the intersect of a free-form surface with a plane, in which tracing method is mainly used to calculate the intersection curve [1][2][3]. However, it is usually difficult to determine the proper initial points for calculating all the intersection curves without omit in tracing method.…”

Section: Introductionmentioning

confidence: 99%

An Efficient Method for Calculating the Intersection Curve between a Ruled Surface and a Plane

Jiang²,

Huang³

et al. 2013

IJSIP

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“…3 To slice the model directly, Surface-Plane Intersection (SPI) as a special case of SurfaceSurface Intersection (SSI) can be solved numerically using lattice evaluation, tracing, and recursive subdivision. [4][5][6][7] On the other side, indirect slicing produces 2-D contours by cutting triangles of the polyhedral model at various heights (Fig. 1).…”

Section: Introductionmentioning

confidence: 99%