• Journal of the Korean Statistical Society
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• 제35권2호
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• pp.201-212
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• 2006

The technique of foldover is usually used by experimenters to de-alias the effects that are interesting in follow-up experiment. Employing a $2^{k-p}$ design with resolution III or higher, Li and Lin (2003) developed an algorithm and used computer programs to search its corresponding optimal foldover design for selected 16-run and 32-run experiments. Based on the minimum aberration criterion, the strong combined-optimal design, defined by Li and Lin, is the better choice of the initial design. In this article, we apply the technique of blocking to find the strong combined-optimal designs. Furthermore, we will tabulate all 16-run and 32-run strong combined-optimal designs and their corresponding core foldover plans for practical use. Some new designs that have not appeared in the other literature but constructed by the technique of blocking are also proposed in this article.

• 품질경영학회지
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• 제38권1호
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• pp.42-51
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• 2010

For the fractional factorial designs, the resolution-IV designs can be used when we want to estimate the main effects and to investigate the structure of the non-negligible two-factor interaction effects, when the three-factor and higher order interaction effects are all negligible. However we need to add the additional treatment combinations in order to identify the influential interactions for the resolution-IV fractional factorial designs. In this paper we investigate the statistical structure for 3-level resolution-IV designs constructed by fold-over scheme and introduce a method for analyzing the influential two-factor interactions.

• Journal of the Korean Statistical Society
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• 제32권3호
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• pp.235-244
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• 2003

In unreplicated factorial or fractional factorial experiments, the presence of one or more outliers can seriously affect the analysis of variance. Using the normal plot of t residuals to identify outliers in factorial or fractional factorial is an easy method to find these dubious points. In some cases, the t residuals form the identical pairs. One can not tell from the plot which is doubtful. This phenomenon occurs for all minimal designs of resolution IV, which fits the model containing all main effects and some two-factor interactions, whether it is orthogonal or not. In these kinds of models, when we drop one point or two points (not foldover pair) from the fraction, the phenomenon of identical pairs of t residuals may still occur. In this paper, the theoretical background of the phenomenon and its sequences will be investigated in detail.

• 한국품질경영학회:학술대회논문집
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• 한국품질경영학회 2010년도 춘계학술대회
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• pp.129-138
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• 2010

For the fractional factorial designs, the resolution-IV designs can be used when we want to estimate the main effects and to investigate the structure of the non-negligible two-factor interaction effects, when the three-factor and higher order interaction effects are all negligible. However we need to add the additional treatment combination in order to identify the influential interactions for the resolution-IV fracrtional factorial designs. In this paper we investigate the statistical structure for 3-level resolution-IV designs constructed by fold-over scheme and introduce a method for analyzing the influential two-factor interactions.

• 한국정보과학회논문지:시스템및이론
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• 제36권5호
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• pp.404-411
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• 2009

본 논문은 Von Funck 외가 제안한 벡터장 기반 변형기술에 기반한 새로운 텍스쳐 이미지의 와핑 방법을 제안한다. 사용자는 텍스척 이미지와 텍스쳐매핑이 될 3차원 물체 표면에 두 가지 방법으로 제한조건을 지정할 수 있다: 위치 제한조건은 이미지 상의 특징점의 위치를 특정위치 (물체 표면의 대응하는 특징점 위치)로 제한하는 데 사용하며, 그라디언트 제한조건을 사용하려는 특징점 이미지의 일부분에 대한 방향과 스케일에 대해 제어가 가능하다. 이러한 제한조건으로부터 그에 대응하는 C1 연속인 속도벡터장을 이미지 공간 상에 구축하고, 구축된 벡터장을 따라 텍스쳐 이미지 상의 모든 픽셀들을 이동시킨 결과로써 최종 텍스쳐 이미지를 획득한다. 본 연구에서 구현한 텍스쳐 매핑 애플리케이션에서는 우선 대상 3차원 메쉬를 최소제곱 등각매핑(Least Squares Conformal Mapping) 방법을 사용하여 2차원 평면에 임베딩시킨다. 다음으로, 제안하는 이미지 와핑 방법을 적용하여 텍스쳐 이미지 상의 특징점이 임베딩된 메쉬의 대응하는 특징점과 일치되도록 하여 최종 텍스쳐맵을 획득한다. 이와 같은 벡터장기반 방법을 통해 기존의 텍스쳐매핑 방법보다 더욱 부드러운 이미지 와핑결과를 얻을 수 있었으며, 왜곡이 많이 생기는 요구조건을 만족하면서도 자기 오버랩이 생기지 않는 좋은 성질을 보임을 확인하였다.