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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2005.1
- 수록면
- 275 - 287 (13page)
이용수
초록· 키워드
오류제보하기
Geometric invariants are basic tools for geometric processing and com-
puter vision. In this paper, we give a linear approximation for the differentiation
of the binormal vector field of a space curve by using the forward and backward
differences of discrete binormal vectors. Two kind of discrete torsion, say, back-
ward torsion b and forward torsion f can be defined by the dot product of the
(backward and forward) discrete differentiation of binormal vectors that are linear
approximations of torsion. Using Frenet formula and Taylor series expansion, we
give error estimations for the discrete torsions. We also give numerical tests for a
curve. Notably the average of b and f looks more stable in errors.
목차
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참고문헌 (9)
참고문헌 신청
/ / Asymptotic Analysis of Thre-PointAproximations of Vertex Normals and Curvatures
/ / Closed-form expresions for the nite dierence aproximationsof rst and higher derivatives based on Taylor series
/ / Discrete curvature based on osculating circlesestimation Lecture Notes in Computer Science2059
/ / Estimating derivatives and curvature of open curves
/ / International Journal of ComputerVision 40
/ / Closed-form expresions for the nite dierence aproximationsof rst and higher derivatives based on Taylor series
/ / Discrete curvature based on osculating circlesestimation Lecture Notes in Computer Science2059
/ / Estimating derivatives and curvature of open curves
/ / International Journal of ComputerVision 40
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