728x90
728x170
Catmull-Rom Spline
Without tangent vectors?
 |
 |
 |
 |
 |
Cubic Splines
- τ(타우) 값에 따른 그래프의 변화
Catmull-Rom Spline Properties
- Variation Diminishing
- the curve in 2D space does not oscillate about any straight line more often than the control point polygon.
- $C^{1}$-continuity
- Local Controllability
Question
- Find a catmull-rom cubic spline interpolating the four key points with $\tau = 0.5$
- $p(t) = L_{0}(t)p_{0} + L_{1}(t)p_{1} + L_{2}(t)p_{2} + L_{3}(t)p_{3}$
- $p_{0} = (0, 0)$
- $p_{1} = (10, 10)$
- $p_{2} = (15, 5)$
- $p_{3} = (20, 15)$
Solution
 |
 |
 |
 |
728x90
그리드형(광고전용)
'Computer Graphics' 카테고리의 다른 글
| [Computer Animation] Quaternion Catmull-Rom Spline (0) | 2022.05.01 |
|---|---|
| [Computer Animation] De Casteljau Algorithm (0) | 2022.05.01 |
| [Computer Animation] B-Spline (0) | 2022.05.01 |
| [Computer Animation] Natural Cubic Spline (0) | 2022.05.01 |
| [Computer Animation] Bezier Curve & Bezier Spline (0) | 2022.05.01 |
| [Computer Animation] Keyframing and Splines (0) | 2022.05.01 |
| [Unreal Engine 4] 블루프린트 클래스(Blueprint Class)에 Static Mesh 연결하기 (0) | 2022.04.24 |
| [Unreal Engine 4] 새로운 월드 생성 & 기본 환경 설정 (0) | 2022.04.16 |
