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논문 기본 정보
- 자료유형
- 학술대회자료
- 저자정보
- 발행연도
- 2005.11
- 수록면
- 195 - 196 (2page)
이용수
초록· 키워드
오류제보하기
Topologically consistent algorithms for the intersection and trimming of free-form parametric surfaces are of fundamental importance in computer-aided design, analysis, and manufacturing. Since the intersection of (for example) two bicubic tensor-product surface patches is not a rational curve, it is usually described by approximations in the parameter domain of each surface. If these approximations are employed as "trim curves", their images in ?³ do not agree precisely, and the resulting trimmed surfaces may exhibit "gaps" and "overlaps" along their common edge, an artifact that often incurs failure of downstream applications.
We present a direct and simple approach to the problem, wherein the intersection curve is described explicitly by the sides of a sequence of triangular Bezier patches. Instead of representing trimmed surfaces by trim curves in the surface parameter domain, together with appropriate control point perturbations to guarantee consistency, we use triangular patches to directly approximate the intersection curve and the trimmed surfaces it defines. The triangular patches are constructed so as to maintain smooth (i.e., tangent-plane continuous) connections to untrimmed patches of the original surface. We assume that the original intersecting surfaces are subject to a subdivision process, such that the intersection segment (if any) on each sub-patch is a smooth arc between diametrically opposite corners. This guarantees that all intersection segments, and the trimmed surfaces they delineate, are "simple" enough to admit accurate approximation using triangular Bezier patches.
Ensuring position and tangent plane agreement of degree-n triangular trimmed patch approximations p(r, s, t) and q(u, v, w) with given degree-(m, m) tensor-product patches p(r, s) and q(u, v) along the boundaries r = 0, s = 0 and u = 0, v ... 전체 초록 보기
We present a direct and simple approach to the problem, wherein the intersection curve is described explicitly by the sides of a sequence of triangular Bezier patches. Instead of representing trimmed surfaces by trim curves in the surface parameter domain, together with appropriate control point perturbations to guarantee consistency, we use triangular patches to directly approximate the intersection curve and the trimmed surfaces it defines. The triangular patches are constructed so as to maintain smooth (i.e., tangent-plane continuous) connections to untrimmed patches of the original surface. We assume that the original intersecting surfaces are subject to a subdivision process, such that the intersection segment (if any) on each sub-patch is a smooth arc between diametrically opposite corners. This guarantees that all intersection segments, and the trimmed surfaces they delineate, are "simple" enough to admit accurate approximation using triangular Bezier patches.
Ensuring position and tangent plane agreement of degree-n triangular trimmed patch approximations p(r, s, t) and q(u, v, w) with given degree-(m, m) tensor-product patches p(r, s) and q(u, v) along the boundaries r = 0, s = 0 and u = 0, v ... 전체 초록 보기
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UCI(KEPA) : I410-ECN-0101-2009-410-014677824